Answer:
The time it takes to download 7 songs is 49 seconds.
Step-by-step explanation:
It is about a division problem.
The first step is to determine how long it takes to download just one song. You must divide the total seconds by the total songs downloaded. The result would be the time required to download just one song.
[tex]\frac{35\, seconds}{5\, songs}=7\frac{seconds}{song}[/tex]
The previous value indicates that the download time is 7 seconds per song.
The second step is to determine how long it takes to download 7 songs. With the previous value in mind, you must multiply the time it takes to download one song by the 7 songs that Dariya wants to download, to obtain the total time it takes to download the 7 songs.
[tex]\frac{7\, seconds}{1\, song}\times 7\, songs=49\, seconds[/tex]
Thus, the time it takes to download 7 songs is 49 seconds.
for a stem competition julienne constructed a model rocket the rocket can reach an average height of 545 ft. Find the differences between the average height and the actual Heights reached. Then write them as a positive and negative rational numbers. order the differences from least to greatest
Express the work in terms of l, f, and θ. remember to use radians, not degrees, for any angles that appear in your answer.
the area of a circle is 78.5 square meters. what is the radius ?
a collection of nickels and dimes is worth $2.95 there are 47 coins and all how many nickels are there
what is the value of log3^81
Answer:
Third option is correct. The value of given expression is 4.
Step-by-step explanation:
The given expression is
[tex]log_381[/tex]
The given expression can be written as
[tex]log_3(3\times 3\times 3\times 3)[/tex]
[tex]log_3(3^4)[/tex]
According to the property of logarithm expression,
[tex]log_a(a^b)=b[/tex]
Using this property of logarithm expression, we get
[tex]log_3(3^4)=4[/tex]
Therefore the value of given expression is 4 and option third is correct.
The value of the expression log₃(81) is 4.
We have,
The value of log base 3 of 81 can be found by asking the question: "To what power must 3 be raised to obtain 81?"
In this case, the answer is 4, because 3 raised to the power of 4 equals 81.
i.e
[tex]3^4[/tex] = 81
Therefore,
The value of the expression log₃(81) is 4.
Learn more about expressions here:
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A bicyclist was traveling from the village to the railroad station with a speed of 15 mph and he was coming back to the village with a speed of 10 mph. Find the distance from the village to the railroad station, if it’s known that it took 1 more hour for the bicyclist to get back to the village.
solve for x in the equation x^2 + 20x + 100 = 36
Answer:
x = -4 or x = -16
Step-by-step explanation:
We have to solve equation x^2 + 20x + 100 = 36 and find the value of x
x² + 20x + 100 = 36
x² + 20x + 100 - 36 = 36 - 36
x² + 20x + 64 = 0
(x + 4 ) ( x + 16 ) = 0
x + 4 = 0 or x + 16 = 0
x = -4 or x = -16
Answer would be x = -4 or x = -16
Choose the correct product of (3x − 8)2.
9x2 − 64
9x2 + 64
9x2 − 48x + 64
9x2 + 48x + 64
Which expressions are polynomials? Select each correct answer. y x2−x√+2 2 + s 4x³ + y
Answer:
Answers are
Y
2+s
4x^3+y
Step-by-step explanation:
I did the quiz
The first, second, and third are the polynomials.
PolynomialPolynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable
Given
1. y
2. x² - x +√2
3. 2 + s
4. 4x³ + y
To find
Which expressions are polynomials?
How to get Which expressions are polynomials?1. y is a polynomial with variable y.
2. x² - x +√2 is a polynomial with variable x.
3. 2 + s is a polynomial with variable s.
4. 4x³ + y is not a polynomial because the polynomial has only one variable in it.
Thus, the first, second, and third are the polynomials.
More about the polynomial link is given below.
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Your typical markup for merchandise is 40%. Your cost on an item is $8.00. Calculate the selling price.
What number would you add to both sides of x2 + 7x = 4 to complete the square? 22 72
simplify x + 2/ x^2 - 6x - 16 divided by 1/9x
Explain how to compare 43 and 35
The element with 35 protons is bromine (Br). Its isotopes with 44 and 46 neutrons have the symbols ^79Br and ^81Br, respectively, with the mass numbers derived from adding the number of neutrons to the atomic number 35.
Explanation:To address Exercise 1.8.2, we first need to identify the element with 35 protons. In the periodic table, the element with 35 protons is bromine (Br). This element is defined by the number of protons in its nucleus, which is also known as its atomic number. Therefore, bromine is the element we are looking for.
Next, we need to write the symbols for bromine's isotopes with 44 and 46 neutrons. The total number of nucleons (protons plus neutrons) gives us the mass number of an isotope. For bromine with 44 neutrons, the mass number is 35 (protons) + 44 (neutrons) = 79. Therefore, the symbol for this isotope of bromine is ^79Br.
For the isotope with 46 neutrons, the mass number is 35 (protons) + 46 (neutrons) = 81. So, the symbol for this isotope of bromine is ^81Br. Each isotope differs in the number of neutrons, and therefore, in the mass number, while the number of protons (the atomic number) remains constant.
The element with 35 protons is bromine (Br). Its isotopes with 44 and 46 neutrons are written as ^79Br and ^81Br, respectively, where the numbers represent the mass numbers of each isotope.
Explanation:To answer Exercise 1.8.2, we must first identify the element with 35 protons. The element with 35 protons is bromine, which is represented by the chemical symbol Br. To write the symbols for its isotopes with 44 and 46 neutrons, we must add the atomic number (protons) and the number of neutrons to get the mass number for each isotope.
For the isotope with 44 neutrons:
Mass number = Number of protons + Number of neutronsMass number = 35 + 44Mass number = 79Therefore, the symbol for this isotope is ^79Br.For the isotope with 46 neutrons:
Mass number = 35 + 46Mass number = 81Therefore, the symbol for this isotope is ^81Br.Isotopes of an element have the same number of protons but different numbers of neutrons, hence different mass numbers. The isotopes of bromine are thus ^79Br and ^81Br, referring to the atomic mass which is composed of the protons and neutrons together.
What is the following sum? 2(^3√16x^3y)+4(^3√54x^6y^5)
Answer: the answer is a
Step-by-step explanation:
I just took the test
Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below. 79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85 What is the mode interval of the data?60-69 70-79 80-89 90-99
Answer:4
Step-by-step explanation: just mark me brainlest
residents of a small city voted on whether to allow a developer to build a shopping center.the number of votes favor of the shopping center was 4,400.the number of votes against the shopping center was 17,600.what percent of the voters were in favor of building the shopping center?
Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the possible base and height of a second triangle if the first triangle's base is 10 and its height is 6?
Answer:
12 and 5
Step-by-step explanation:
BRAINLIEST to the one who can asnwer my question and show me the work step by step so that I can understand. I want to understand.
Approximate the arc length of one-quarter of the unit circle (which is π /2) by computing the length of the polygonal approximation with n=4 segments. (As seen in picture)
The length of the line segment on the interval 0≤x≤0.25
The length of the line segment on the interval 0.25≤x≤0.5
The length of the line segment on the interval 0.5≤x≤0.75
The length of the line segment on the interval 0.75≤x≤1
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Thanks.
Regina scored 84% on a test. She answered 63 items correctly. How many items did Regina answer incorrectly?
Simplify
(343) 1/3
a)21
b)19
c)49
d)7
Suppose that 44% of all Americans approve of the job the president is doing. The most recent Gallup poll consisted of a random sample of 1400 American adults.
A) What is the mean of the sampling distribution?
B) What is the standard deviation of the sampling distribution?
C) Describe the normal approximation for this sampling distribution.
D) What is the probability that the Gallup poll will come up with a proportion within 3 percentage points of the true 44%?
At Jim's Juice Box Factory, his machine can fill 300 juice boxed an hour. Each juice box holds 0.8 cups. How many gallons of juice does Jim's factory need per hour?
The Orlando eye in Orlando, Florida is a regular polygon with 30 sides. Which of the following is the measure of each interior angle of the polygon?
Answer:
The measure of each interior angle of the polygon is [tex]168\°[/tex]
Step-by-step explanation:
we know that
The sum of the internal angles in a polygon is equal to
[tex]S=(n-2)180\°[/tex]
where
n is the number of sides of polygon
In this problem we have
[tex]n=30\ sides[/tex]
substitute
[tex]S=(30-2)180\°=5,040\°[/tex]
To find the measure of each internal angle divide the total sum of internal angles by the number of sides
so
[tex]5,040\°/30=168\°[/tex]
Answer:168
Step-by-step explanation:
N is the number of sides. Formula is (n-2)×180/n. So (30-2)= 28×180=5040÷30= 168
J is the midpoint of KL. The coordinates of J are (-8,7) and the coordinates of K are (3,4) find the coordinates of L. (show work) (please don't reply if you don't know the answer).
Steven earns extra money babysitting. He charges $37.50 for 6 hours and $50.00 for 8 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
The equation is y =
Rosa is thinking of a number between 9.04 and 9.15 that has a six in the hundreds place what is the number explain
Which of the following are linear factors of p(x) = x 3 - 2x 2 - 5x + 6 ?
Find an equation for the plane that contains the line v = (−1, 1, 2) + t(7, 6, 2) and is perpendicular to the plane 8x + 5y − 7z + 8 = 0.
The equation for the plane that contains the given line and is perpendicular to the provided plane is 8x + 5y - 7z + 17 = 0.
Explanation:To find an equation for the plane that contains the line given by v = (−1, 1, 2) + t(7, 6, 2) and is perpendicular to the plane described by 8x + 5y − 7z + 8 = 0, we first need to understand that the normal vector of this plane will be parallel to the normal vector (8, 5, -7) of the given plane since both planes are perpendicular to each other.
Knowing that the line lies on the required plane, we can use the point (−1, 1, 2) that the line passes through, along with the parallel normal vector, to write the equation of our plane. The general form of the equation of a plane is Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane. Substituting our point into the equation, we calculate the constant D.
Thus, the equation of our plane will be 8x + 5y − 7z + D = 0. Inserting the point (−1, 1, 2) into this equation gives us 8(-1) + 5(1) - 7(2) + D = 0, which simplifies to -8 + 5 - 14 + D = 0. Solving for D yields D = 17. Hence, the final equation of the plane is 8x + 5y − 7z + 17 = 0.
Using Cramer’s Rule, what is the value of x in the system of linear equations below? x+3y=16 3x+y=8
Using Cramer's Rule, the value of x in the given system of linear equations is 1.
Explanation:We can solve the given system of equations using Cramer's Rule. Cramer's Rule states that in a system of linear equations, if the determinant of the coefficient matrix is non-zero, then the system has a unique solution.
First, let's find the determinant of the coefficient matrix:
| 1 3 |
| 3 1 |
Det = (1*1) - (3*3) = -8
Since the determinant is non-zero (-8 ≠ 0), the system has a unique solution.
Next, let's find the determinant of the x-column matrix:
| 16 3 |
| 8 1 |
Det(x) = (16*1) - (3*8) = -8
Finally, we can find the value of x by dividing the determinant of the x-column matrix by the determinant of the coefficient matrix: x = Det(x) / Det = (-8) / (-8) = 1.