Answer: n = -3
.........................
I need help with this please.
It’s question one and two
In step 4 and 5 he used prime factorization of 5 under cube root.
This was done in order to eliminate the cube root.
What is prime factorization method?Prime factorization is a process of finding the prime factors of a given number. A prime factor is a factor of a number that is a prime number. The prime factorization of a number is the list of its prime factors, together with their multiplicities.
To find the prime factorization of a number, divide it by its smallest prime factor and write down the result as the product of the prime factor and the quotient. Continue this process with the quotient until quotient of 1 is obtained.
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A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
.094
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
Ayuden por favor, no entiendo este problema
We will get that the angle theta is:
θ = β/2
How to find the value of theta?Remember that the sum of the interior angles of any triangle must be equal to 180°.
Now, looking at the triangle in the left, we can see that the top angle is equal to:
180 - 2α
The right angle is equal to:
180 - 2β
And the left angle is α
Then we can write:
α + (180 - 2α) + (180 - 2β) = 180
-α - 2β = -180
α = 180 - 2β
Now we can go to the other triangle, where theta is, and write:
α + β + 2θ = 180
Replacing what we found above, we get:
180 - 2β + β + 2θ = 180
-β + 2θ = 0
θ = β/2
That is the best simplification we can get with the given diagram.
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What is the value of arc cosine (negative startfraction startroot 3 endroot over 2 endfraction)? startfraction pi over 6 endfraction startfraction pi over 4 endfraction startfraction 3 pi over 4 endfraction startfraction 5 pi over 6 endfraction.
The arc cosine value for given expression will be \(\frac{5\pi }{6}\).
What is arc cosine?
One of the inverse trigonometric functions, arccosine is the inverse of the cosine function.
Formula for arc cosine:
\(arc cosine(\frac{Adjacent\ side}{Hypotenuse} )\)
According to given question, the expression for arc cosine will be,
\(arc cosine(\frac{-\sqrt{3} }{2} )\)
We have,
\(arc cosine(\frac{-\sqrt{3} }{2} )\)
it can be rewritten as,
\(= cos^{-1} (\frac{-\sqrt{3} }{2} )\\\\= cos^{-1}(cos\frac{{5\pi } }{6}) \\\\= \frac{5\pi}{6}\)
Hence, The arc cosine value for given expression will be \(\frac{5\pi }{6}\).
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Answer:
D. 5pi/6
Here are the answers for the rest of the assignment:
D. -1
A. 3pi/4
A. y = 12/pi sin^-1(x-35/0.6)
1.9
Step-by-step explanation:
I had the assignment and all these answers are correct, enjoy :)
Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation one-halfx2 4x 8 = 0. which explanation could anderson provide?
Anderson could provide 0.5x2 + 4x + 8 = 0 has exactly one real root if the discriminant is 0,
What is quadratic equation?Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.
What is discriminant?A polynomial's discriminant is a quantity that depends on the coefficients and enables for some root attributes to be inferred without actually computing them. It is actually a polynomial function of the original polynomial's coefficients.
According to the given information:0.5x^2 + 4x + 8 = 0
The discriminant is computed utilizing:
d = b^2 - 4ac
Thus, we have:
d = 4^2 - 4 * 0.5 * 8
Evaluate
d = 0
The equation has only one real root since the discriminant is 0,
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Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-8-7
6
5
+
co
12
55555
11
10
9
-2-1-
TO
-9
-10
-11
"12
(4
4 5 6 7 8 9 10 11 12
To find the equation of a line, we need to determine its slope and its y-intercept.
Let's use the given graph to find the slope of the line.The slope of the line can be found as shown
:Slope = Change in y-coordinate / Change in x-coordinate
Let's select two points on the line and find the change in the y-coordinate and the change in the x-coordinate.
Using points (-12, 5) and (12, -7),
we get:Change in y-coordinate = -7 - 5
= -12
Change in x-coordinate = 12 - (-12)
= 24
Thus, the slope of the line is:Slope = -12/24
Slope = -1/2
The slope-intercept form of the equation of a line is given as:y = mx + b
where m is the slope of the line and b is the y-intercept.
We have found the slope of the line. To find the y-intercept, we can use any point on the line.Using point (0, -2),
we get:-2 = (-1/2)(0) + b-2
= b
Thus, the y-intercept of the line is b = -2.Substituting the values of m and b in the slope-intercept form of the equation of a line, we get:y = -1/2x - 2
This is the required equation of the line in fully simplified slope-intercept form.
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Amy sold Girl Scout Cookies and collected $444. She sold twice as many boxes of Shortbread cookies as Chocolate Chunk cookies. She sold 15 more boxes of Peanut Butter cookies than Shortbread cookies. A box of Shortbread cookies costs $3, a box of Chocolate Chunk cookies costs $4.50, and a box of Peanut Butter cookies costs $5. How many boxes did she sell of each type of cookie?
By solving equations, she sold 36 shortbread cookies, 18 chocolate chunk cookies and 51 peanut butter cookies.
How can an equation be solved?A mathematical expression known as an equation consists of two or more variables and integers that are connected by mathematical operations like exponents, multiplication, division, addition, subtraction, and so on.
Let x denote the quantity of shortbread, y the quantity of chocolate chunk cookies, and z the quantity of peanut butter cookies.
Compared to a box of Chocolate Chunk cookies, a box of Shortbread cookies costs $3. Amy earned $444 from selling Girl Scout Cookies; consequently:
3x + 4.5y + 5z = 444 (1)
Also, She sold twice as many boxes of Shortbread cookies as Chocolate Chunk cookies, hence:
x = 2y (2)
and She sold 15 more boxes of Peanut Butter cookies than Shortbread cookies. Hence:
z = 15 + x (3)
From the three equations:
x = 36, y = 18, z = 51
Therefore, She sold 36 shortbread cookies.
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ten subtracted from a number if the difference is 30 what was the orginal number
Question 13 If the inflation rate is 180%, in how many years will average prices double?
If the inflation rate is 180%, the average prices will double in less than one year.
This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate
In this case, the inflation rate is 180%.
Therefore:Years to double = 70/180%
Years to double = 0.389 years
This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).
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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The 2nd one or either the last one, I suggest the last one hope this helps!!
The following equations represent straight lines. State in each case the gradient of the line and the intercept on the y-axis.
1) y = x+3 m=. c=
2) y=-3x+4 m=. c=
3) y=-5x-2 m=. c=
4) y=4x-3. m=. c=
The answers are =
a. Gradient: 1
Y-intercept: (0, 3)
b. Gradient: -3
Y-intercept: (0, 4)
c. Gradient: -5
Y-intercept: (0, -2)
d. Gradient: 4
Y-intercept: (0, -3)
To find the gradient and the y-intercept for each line, let's examine each equation:
1) Formula: y = x + 3
Gradient: Since x has a coefficient of 1, the gradient is also 1.
Y-intercept: Since the constant term is 3, the line's y-intercept is at (0, 3).
2) Formula: y = -3x + 4
Gradient: The gradient is -3 because the coefficient of x is -3.
Y-intercept: The line crosses the y-axis at (0, 4) since the constant term is 4.
3) Formula: y = -5x - 2
Gradient: The gradient is -5 because the coefficient of x is -5.
Y-intercept: The line crosses the y-axis at (0, -2) since the constant term is -2.
5) Formula: y = 4x - 3
Gradient: The gradient is 4 because the coefficient of x is 4.
Y-intercept: Since the constant term is -3, the line's y-intercept is at (0, -3).
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I dont know how to solve this can you help me
Answer:2
Step-by-step explanation:
x is located on the horizontal line, so when we look at 3 on the horizontal and trace that line up to where it hits the red line of the function you will find y, the vertical value which is 2
Help please. ASAP.
The equation of line L is y=5x+1
The equation of line M is 2y-10x+3=0
Show that these 2 lines are parallel.
Step-by-step explanation:
We can rearrange line M so it is in y = mx + b form.
2y - 10x + 3 = 0 -> 2y = 10x - 3 -> y = 5x -3/2. Since line L and line M have the same slope (which is the m value, 5), they are parallel.
I hope this helps! :)
Answer: they aren't parallel
Step-by-step explanation:
2y-10x+3=0
2(5x+1)-10x+3=0
10x+2-10x+3=0
10x+5-10x=0
0x+5=0
The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponential function to find the population of the town after 5 years.
A chef earns $27 per year. She is paid every 2 weeks.
These are 26 pay periods per week?
How much does the chef
earns pay period.
Round to the neared cent
Answer:
1
Step-by-step explanation:
27 divided by 26.
Returning to the sample of adult women, with a sample mean height of x¯=64.3 inches and sample standard deviation of s=2.4 inches, use the Empirical Rule to estimate the percentage of heights that are less than 61.9 inches.
Answer:
16%
Step-by-step explanation:
The Empirical rule formula states that:
a) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
b) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ
From the question, we have:
sample mean height = 64.3 inches sample standard deviation of s = 2.4 inches,
Imputing that into the first Empirical rule,
a) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
μ = 64.3 inches
σ = 2.4 inches
64.3 + 2.4 = 67.7 inches
64.3 - 2.4 = 61.9 inches
Hence, from the above calculation, 68% of the data have 61.9 inches as their height.
We are to find the percentage that falls below 61.9 inches
= 100 - % of those that fall within 61.9 inches
= 100% - 68 %
= 32%
Since we have two sides for a distribution,
= 32%/2
= 16 %
Therefore, the percentage of those that fall below 61.9 inches is 16%
The level of sound in decibels (db) is given by the formula
L = 10 log(I x 1012),
where I is the intensity of the sound in watts per square meter. If the intensity of the sound at a rock concert is 0.004 watts per square meter at a distance of 76 meters from the stage, then what is the level of sound at this point in the audience?
The level of sound at this point in the audience is approximately 96.02 decibels.
To find the level of sound at a point in the audience, we can use the given formula L = 10 log(I x 10^12), where I is the intensity of the sound in watts per square meter.
Given that the intensity of the sound at a rock concert is 0.004 watts per square meter at a distance of 76 meters from the stage, we can substitute this value into the formula:
L = 10 log(0.004 x 10^12)
First, we simplify the expression inside the logarithm:
0.004 x 10^12 = 4 x 10^9
Then we substitute this value back into the formula:
L = 10 log(4 x 10^9)
Using logarithmic properties, we can simplify further:
L = 10(log 4 + log 10^9)
Since log 10^9 equals 9, we have:
L = 10(log 4 + 9)
Calculating the logarithm and adding:
L = 10(0.602 + 9)
L = 10(9.602)
L ≈ 96.02 dB
Therefore, the level of sound at this point in the audience is approximately 96.02 decibels.
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help quickly!!
A grocery store receives a shipment of 700 oranges. The manager randomly selects 25 oranges to weigh. In that sample, 2 oranges weigh 5 ounces. How many oranges in the shipment can the manager predict weigh 5 ounces?
14
56
644
698
The number of oranges in the shipment can the manager predict weighing 5 ounces will be 56. Then the correct option is B.
What is the expected value?In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
A grocery store receives a shipment of 700 oranges. The manager randomly selects 25 oranges to weigh. In that sample, 2 oranges weigh 5 ounces.
Then the probability of the oranges that weigh 5 ounces is given as,
p = 2/25
Then the number of oranges in the shipment can the manager predicts weigh 5 ounces will be given as,
E(x) = 700 x 2 / 25
E(x) = 28 x 2
E(x) = 56
The number of oranges in the shipment can the manager predict weighing 5 ounces will be 56. Then the correct option is B.
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Suppose that a baseball player's long-run batting average (number of hits per time at bat) is. 300. Assuming that each time at bat yields a hit with a consistent probability, independently of other times, what is the chance that the player's average over the next 100 times at bat will be a). 310 or better
The likelihood that the player's average will be.310 or higher during the following 100 at-bats is. 9267
What is meant by probability?A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
The likelihood of obtaining at least 31 hits in 100 at-bats when the likelihood of getting a hit in each at-bat is.300 must be taken into account in order to calculate the likelihood that the player's average during the subsequent 100 times at bat will be.310 or higher.
The likelihood of obtaining at least 31 hits in 100 at-bats when the likelihood of a hit occurring in each at-bat is.
You may calculate 300 as follows:
P(31 hits or more in 100 at-bats) = 1 - P(30 hits or fewer in 100 at-bats)
When the likelihood of getting a hit in each at-bat is, we can determine the likelihood of getting at least 31 hits in 100 at-bats using the normal approximation. the following 300:
P(31 hits or more in 100 at-bats) = 1 - P(30 hits or fewer in 100 at-bats)
substitute the values in the above equation
= 1 - P(z ≤ (30 - 100(.300)) / √(100(.300)(1 - .300)))
simplifying the equation, we get
= 1 - P(z ≤ -1.44)
= 1 - .0733
= .9267
As a result, there is a roughly.9267 chance that the player's average over his next 100 at-bats will be.310 or higher.
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What is the radius of a circle whose equation is x2 y2 8x−6y 21=0? 2 units 3 units 4 units 5 units
The center of the circle x² + y² + 8x − 6y + 21 = 0 is at (-4, 3) and the radius of the circle is 2 units.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
x² + y² + 8x − 6y + 21 = 0
The equation can be written as
x² + 8x + 16 + y² − 6y 9 = 4
(x + 4)² + (y − 3)² = 2²
Then the center of the circle is at (-4, 3) and the radius of the circle is 2 units.
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Answer: ^ TDLR : 2 units / A
Step-by-step explanation:
edge 2023 x3
The symbol^ => "means to the power of". The value of 3^2 + 2^3
10 points
Answer:
17
Step-by-step explanation:
3^2 = 3*3 = 9
2^3 = 2*2*2 = 8
3^2 + 2^3 = 9 + 8 = 17
Martin needed to buy a new bookcase. At the store, he found a bookcase to buy that had a price of $199. However, the bookcase also had a sign which said it was 20% off the original price. How much did Martin pay for the bookcase?
Answer:
$159.2
Step-by-step explanation:
$199 represents 100% of the cost, but since it is 20% off you subtract 20% from the 100%. Then you multiply what you got from the previous step to get your answer.
100%-20%=80%
199*0.8=159.2
A 15 W electric shaver is used for 3 minutes. How much energy does it use?
Ginger is starting a 330-page book. Suppose she reads for 4 hours and averages 35 pages per hour.
a. How many pages will she read in 4 hours?
b. After 4 hours, how many pages will she still have to read to finish the book??
Answer:
140 and 190
Step-by-step explanation:
Each hour she reads 35 pages.
So, lets add the amount of pages she reads every hour 4 times which gives us the answer for 4 hours.
35+35+35+35 = 140
or
35x4=140
She reads 140 pages in 4 hours.
To find how many pages she has left is,
330-140=190
She has 190 pages left to read
(new to brainly so not sure if its right)
WILL MARK YOU BRAINLIEST
Answer:
16 sides
157.5⁰
Step-by-step explanation:
.......
What Is 30332 Times 98663
Answer:
2,992,646,116
Step-by-step explanation:
I am big brain
Answer:
2992646116
Step-by-step explanation:
multiply starting with 98663
how many integers between and have four distinct digits arranged in increasing order? (for example, is one integer.)
There are fifteen numbers with four different digits in ascending order between 2020 and 2400.
what is integer?Zero, a positive integer, or a negative integer denoted by a minus sign are all examples of integers. A negative number is the additive reciprocal of a positive number that it corresponds to. The set of integers is frequently referred to as Z in mathematical terminology. A positive, negative, or zero integer—not a fraction—is referred to as an integer (pronounced IN-tuh-jer). The numbers -5, 1, 5, 8, 97, and 3,043 are examples of integers. 1.43, 1 3/4, 3.14, and other numbers are non-integer examples.
Given:
\(the years 2020 and 2400\)
The procedures listed below can be used to count all numbers between \(2020\)and\(2400\)that have four different digits sorted in ascending order:
There are two figures, 2020 and 2400, based on the information provided.
The numbers with four different digits are then listed in ascending order as follows:
\(2345, 2346, 2347, 2348, 2349, 2356, 2357, 2358, 2359, 2367, 2368, 2369, 2378, 2379, and 2389.\)
Therefore, total of 15 numbers between 2020 and 2400 that contain four separate digits grouped in ascending order.
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Sketch one cycle of y = sin 2q.
Answer:
y = sin ( 2 x )
graph{sin(2x) [-10, 10, -5, 5]}
Step-by-step explanation:
y = − sin ( 2 x )
x = 0 , y = 0
x = π 4 , y = − 1
x = π 2 , y = 0
x= ( − π 4 ) , y = 1
With these values, we can plot the graph.
Help me please with math
Answer:
B. 1 and 10
Step-by-step explanation:
PLEASE HELP DUE SOON 70 POINTS!!
Answer:
1.) dull
2.)ductility
3.)luster
4.)brittle
5.)malleability
Step-by-step explanation:
Answer:
2,3,1,5,4 i think i tried
Step-by-step explanation: