Answer:
10+26x
Step-by-step explanation:
To solve this, work your way from the inner most parentheses to the outer most:
The inner most parentheses is around 6-2, meaning you solve this first. When you solve this, you get 4.The second most inner parentheses is around (1+3 times 4) using PEMDAS, you first solve the multiplication, and then add. Once you solve this, you get 13.Next, the outer most parentheses is around (10-5+13x). When you simplify this, you get 5+13xFinally, you multiply 2(5+13x). Using distributive property, you get 10+26x as your final simplified answer.Question 2
1 pts
A ship sails for 400 miles on a bearing of 60°. It then changes directions and sails for
100 miles on a bearing of 150°. How far away is the ship from its starting point?
10 170000 miles
360.555 miles
300 miles
412.310 miles
Answer: 412.310 miles
Step-by-step explanation:
The diagram representing the scenario is shown in the attached photo. The bearing is taken with respect to the northern direction. The angles at B are determined by applying the concept of alternate angles with respect to parallel lines.
A right angle triangle ABC is formed. The starting point is A and the end point is C. The distance, x between A and C represents the hypotenuse of the triangle.
We would determine x by applying Pythagoras theorem which us expressed as
Hypotenuse² = opposite side² + adjacent side²
x² = 400² + 100² = 170000
x = √170000
x = 412.310 miles
Use the graph of the function y = 4x to answer the following questions.
The domain of the function is
to
because an exponent can be any real number.
Answer: negative infinity to positive infinity.
Step-by-step explanation:
Answer:
The domain of the function is negative infinity
to positive infinity because an exponent can be any real number.
Next, The range of the function is zero
to positive infinity because 4x is always positive.
Step-by-step explanation:
Edge test
Alanna tried to solve an equation step by step.
4c=12
4c/=12.4
c=48
Find Alanna's mistake.
Answer:
step 1
Step-by-step explanation:
Alanna divided one side of the equation by 4 but multiplied the other side by 444. Alanna should have divided both sides of the equation by 4 to isolate c.
Alanna's mistake was dividing the equation by 12.4 instead of dividing both sides by 4.
Alanna made a mistake in the second step of solving the equation. The correct step should be as follows:
Step 1: 4c = 12
Step 2: Divide both sides by 4, not 4.4: (4c) / 4 = 12 / 4
Step 3: c = 3
So, the correct solution is c = 3, not c = 48 as Alanna calculated.
Alanna's mistake in solving the equation 4c = 12 occurred during the second step of the process. When attempting to isolate the variable "c," she divided both sides of the equation by 4, but her error lies in the value she used for this division. Instead of correctly dividing by 4, she mistakenly divided by 4.4.
The correct approach in this situation is to perform the same mathematical operation on both sides of the equation to maintain its balance. Dividing both sides by 4 allows us to isolate "c" and find its value. When we divide 12 by 4, we get 3, which is the correct solution to the equation.
In contrast, Alanna's incorrect division by 4.4 led her to the erroneous result of c = 48. This error likely arose from a simple calculation mistake. It's crucial to pay attention to each step of solving equations to avoid such errors, as they can significantly affect the final solution and lead to incorrect conclusions.
In summary, Alanna's mistake was dividing both sides of the equation by 4.4 instead of 4, resulting in the incorrect solution c = 48, when the correct solution is c = 3.
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An artist creates a cone shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a base with a circumference of 21.352 feet, what is the volume of the sculpture? Use 3.14 for Pi
Answer:
Volume, [tex]V=96.79\ \text{feet}^3[/tex]
Step-by-step explanation:
An artist creates a cone shaped sculpture for an art exhibit.
Height of sculpture is 8 feets
The circumference of base of the cone is 21.352 feet.
The base of a con is circular shaped. So,
[tex]2\pi r= 21.352[/tex]
r is radius of cone
[tex]r= \dfrac{21.352}{2\times 3.14} \\\\r=3.4\ ft[/tex]
The volume of cone shaped sculpture is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (3.4)^2 \times 8\\\\V=96.79\ \text{feet}^3[/tex]
So, the volume of the sculpture is [tex]96.79\ \text{feet}^3[/tex].
On the first day it was posted online, a music video got 600 views. The number of views that the video got each day increased by 20% per day. How many total views did the video get over the course of the first 23 days, to the nearest whole number?
Answer: there were 195,742 total views after 23 days
Step-by-step explanation:
What is the value of cosine theta in the diagram below?
Find the range of the function y = 3x - 2
for the domain (2, 4, 6).
Answer:
range: {4, 10, 16}
Step-by-step explanation:
Find the range of the function y = 3x - 2
for the domain (2, 4, 6).
There are only 3 domain values here.
so 3 range values.
y = 3*2 - 2 = 6 - 2 = 4
y = 3*4 - 2 = 12 - 2 = 10
y = 3*6 - 2 = 18 -2 = 16
range: 4, 10, 16
Your consulting firm is submitting a bid for a big contract. From previous data, you know your firm has a 51% of successfully landing the contract. The agency to which you submitted your bid has asked for more information about your bid. Past experience indicates that for 70% of successful bids and 44% of unsuccessful bids, the agency asks for more information. (In other words, if you successfully bid, then the probability the agency asks for information is 70%, etc.) If an agency asks for more information, what is the probability the bid is successful
Answer:
P(S/A) = 0.6235
Step-by-step explanation:
Let's call S that you successfully bid, S' that you unsuccessfully bid, A that the agency asked for more information and A' that the agency didn't asked for more information.
So, the probability P(S/A) that the bid is successful given that the agency asks for more information is calculated as:
P(S/A) = P(S∩A)/P(A)
Where P(A) = P(S∩A) + P(S'∩A)
Then, the probability P(S∩A) that you successfully bid and the agency asked for more information is:
P(S∩A) = 0.51 * 0.7 = 0.357
Because your firm has a 51% of successfully landing the contract and if you successfully bid, then the probability the agency asks for information is 70%.
At the same way, the the probability P(S'∩A) that you unsuccessfully bid and the agency asked for more information is:
P(S'∩A) = (1-0.51) * 0.44 = 0.2156
So, P(A) and P(S/A) are equal to:
P(A) = 0.357 + 0.2156 = 0.5726
P(S/A) = 0.357/0.5726 = 0.6235
Whenever Nicole rents a movie from iTunes, the probability that it will be a comedy is 52%. Of the next seven movies she rents, what is the probability that she rents NO MORE THAN two comedies?
The question pertains to cumulative probability in a binomial distribution, where the probability of Nicole renting no more than two comedies out of seven movies is calculated by adding the probabilities of renting 0, 1, or 2 comedy movies.
Explanation:The question is about calculating a cumulative probability, specifically the probability that Nicole rents no more than two comedy movies out of seven. Here the events are not mutually exclusive, and we use the concept of binomial distribution to solve it.
The binomial distribution describes the probability of having exactly k successes (defined as the desired outcome, in our case renting a comedy) in n independent Bernoulli trials (independent events with two possible outcomes - here, renting a comedy or not).
To calculate the binomial distribution, we would use the formula P(k; n, p) = C(n, k) * (p^k) * (1-p)^(n-k), where P(k; n, p) is the probability of k successes in n trials, C(n, k) is the combinations of n items taken k at a time, and p is the probability of a success on a single trial.
In this case, we want to find the cumulative probability, i.e., the probability that Nicole rents 0, 1, or 2 comedy movies. This can be calculated as P(0;7,0.52) + P(1;7,0.52) + P(2;7,0.52).
C(n, k) can be calculated using the formula n! / [(n-k)!k!], where n is the total number of trials and k is the number of successes and '!' denotes factorial.
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To determine the probability that Nicole rents no more than two comedies out of seven movies, we apply the binomial probability formula to calculate the cumulative probability of renting 0, 1, or 2 comedies, and summing those probabilities gives the final answer.
Explanation:The problem at hand requires calculating the probability of an event occurring a certain number of times given a fixed probability. In this case, we are interested in finding the probability that Nicole rents no more than two comedies out of the next seven movies from iTunes, with the probability of renting a comedy being 52%.
To solve this, we can use the binomial probability formula, which is P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where 'n' is the number of trials, 'k' is the number of successes, and 'p' is the probability of success on any given trial. We are looking for P(X ≤ 2), which is the cumulative probability of renting 0, 1, or 2 comedies.
P(X = 0) = (7 choose 0) * 0.52^0 * 0.48^7P(X = 1) = (7 choose 1) * 0.52^1 * 0.48^6P(X = 2) = (7 choose 2) * 0.52^2 * 0.48^5Summing these probabilities will give us the final probability that Nicole rents no more than two comedies.
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The following figure shows two intersecting lines which point name a straight angle
Answer:
The answer would be AEC because the angle all would add up to be 180 degrees
The straight angle is made by the line. the correct option is D.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Given
The two intersecting lines point to name a straight angle.
We know that the straight angle is made by the line.
Then
∠CED and ∠BEA are acute angles.
∠BEC and ∠ACD are obtuse angles.
∠AEC and ∠BED are straight angles.
Thus, the correct option is D.
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What is the result of 96-6? Use the model to find the answer.
8
12
16
32
Answer:
ITS 16!!!!!!!
Step-by-step explanation:
I TOOK IT ON AN ASSIGNMENT!!!!!!!!!!
SOOOOOO ITS CCCCCCCCCC
What is the volume of air in the beach ball that has a 12 inch diameter
To find the volume of air in a beach ball with a 12-inch diameter, one must calculate the volume of a sphere using the formula V = 4/3 π r^3, with the radius being half the diameter, resulting in approximately 904.78 cubic inches.
Explanation:The question you're asking pertains to the calculation of the volume of a sphere, as the beach ball is essentially a spherical object. When you have a diameter, the radius (which is half of the diameter) is necessary for the volume calculation. The formula for the volume of a sphere is given by V = 4/3 π r^3, where V is the volume, π (pi) is approximately 3.14159, and r is the radius of the sphere.
First, we convert the diameter into the radius by dividing by 2: 12 inches / 2 = 6 inches. Then, we use the formula to calculate the volume: V = 4/3 π • (6 inches)^3.
Therefore, the volume is: V = 4/3 π • 216 inches^3. After calculating this, we find that the volume of air inside the beach ball is approximately 904.78 cubic inches, assuming no other factors are affecting the volume, such as the thickness of the ball's material.
A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to finish the season with a 90% winning percentage?
A.
12
B.
14
C.
15
D.
27
Answer:D.27
They already won 12 games (80% of 15%) and need or win 15 more.
Check: 15+12 =27 =90%
30 30
Answer:
C
Step-by-step explanation:
First, find out how many games they won:
x/15 = 80/100
Cross multiply
x × 100 = 15 × 80
100x = 1200
x = 12
They won 12 out of 15 games
Second, find out how many wins out of 30 games are needed to have a 90% winning percentage
x/30 = 90/100
Cross multiply
x × 100 = 30 × 90
100x = 2700
x = 27
27 game wins are needed to have a 90% winning percentage
Lastly, find the difference between 27 wins (total needed) and 12 wins (total number of wins they currently have)
27 - 12 = 15
They need to win 15 more games to have a 90% winning percentage
Which shows a perfect square trinomial?
50 y squared minus 4 x squared
100 minus 36 x squared y squared
16 x squared + 24 x y + 9 y squared
49 x squared minus 70 x y + 10 y squared
Answer:
The answer is C
Hope it helps! (I literally just took it on edge)
16x² + 24xy + 9y² can be represented as a perfect trinomial.
PolynomialPolynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials are classified based on degree as linear, quadratic, cubic and so on. A trinomial is a polynomial with three terms.
A perfect square trinomial is a trinomial that can be obtained from a binomial equation.
16x² + 24xy + 9y² = 16x² + 8xy + 18xy + 9y²
= 8x(2x + y) + 9y(2x + y)
= (8x + 9y)(2x + y)
16x² + 24xy + 9y² can be represented as a perfect trinomial.
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Which relationship is likely ONLY a correlation and NOT one of causation?
Q:
A:
A) As the temperature increases, the number of air conditioners being used increases.
B) As the price of a gallon of gas increases, the number of gallons of gas sold decreases.
C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases.
D) As the amount of time a student spends studying for a test decreases, the student’s score on the test decreases.
Answer:
C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases
Step-by-step explanation:
Many people visit parks in the summer, which is when the flowers are supposed to bloom/blossom.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
Answer:
The explicit equation that models the sequence is [tex]f(n)=25-4(n-1)[/tex].
Step-by-step explanation:
An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference.
In general, this is the standard explicit formula of an arithmetic sequence whose first term is A and common difference is B:
[tex]f(n)=A+B(n-1)[/tex]
The sequence {25, 21, 17, 13, ...} is an example of an arithmetic sequence the same number, -4, is subtracted to each term to get to the next term.
We know the first term is 25 and common difference is -4.
Applying the standard explicit formula of an arithmetic sequence we get that
[tex]f(n)=25-4(n-1)[/tex].
The explicit equation is aₙ = 29 - 4n
25, 21, 17, 13...….
The sequence follows an arithmetic sequence. Therefore,
common difference (d) = 21 - 25 = -4
first term(a) = 25
Therefore, the explicit equation can be represented below:
aₙ = a + (n - 1)d
aₙ = 25 + (n - 1)-4
aₙ = 25 - 4n + 4
aₙ = 29 - 4n
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shawn has a bag containing seven balls: one green, one orange, one blue, one yellow, one purple, one white, and one red. All balls are equally are equally likely to be chosen. Shawn will choose one ball without looking in the bag. What is the possibility that Shawn will choose the purple ball out of the bag?
hi
Seven Balls , one of each color. Then 1/7 possibility to choose purple
TTriangle A B C is shown. Side A B has a length of 12. Side B C has a length of x. Side A C has a length of 15.
The value of x must be greater than ________.
A. 0
B. 1
C. 3
D.7
What type of number is 90.65i?
Real, Imaginary, or Complex?
Answer:
Complex and imaginary
Step-by-step explanation:
I had this same exact question on my test! It is both complex and imaginary
what is the average of 3.29 2.59 4.29 2.50?
Answer:
3.1675
Step-by-step explanation:
"Your answer needs to be at least 20 characters long"
Answer:
3.1675
Step-by-step explanation:
Since the average is also referred to as the mean, you have to add them all together and divide it by the number of numbers in the data set: 3.29+2.59+4.29+2.50= 12.67 12.67 divided by 4= 3.1675
hope this helps!!
ps. could you please help me with my recent question??
3n - (2+n) what value of n makes this expression equal to 6
The value of 3n-(2+n) is 6 for n=4. This is obtained by applying simple algebraic operations such as adding like terms to the given expression.
Expression:An expression consists of coefficients, variables, and constants.
How to simplify an expression?Expand the expression according to the operators in the expression like brackets. Use distributive law for expandingAdd the terms with the same variable which are called like termsSimplify the obtained sum.Calculating for the value of n:Given expression is 3n - (2+n) and it has a solution 6 for a value of n.
So, it can be written as 3n - (2+n) = 6
Expanding the obtained equation:
3n-2-n=6
Adding like terms
(3n - n) - 2 = 6
2n=6+2
2n=8
⇒ n=4
Therefore, for n=4 the value of the given expression is equal to 6.
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Several students tested plant growth for given conditions. Which student’s data is most representative of average plant growth for the tested conditions? Alicia tested 6 plants. Brenden tested 24 plants. Caitlin tested 3 plants. Diego tested 12 plants. Alicia Brenden Caitlin Diego
Step-by-step explanation:
Step 1: Find the correct answer
The more plants tested, the better average that you will have. Therefore, since Brenden tested 24 plants, which is the most, his data is the most representative of average plant growth.
Answer: Option B, Brenden
Answer:
Brenden
Step-by-step explanation:
Larger the sample size, better representative it is of the population
Smart phone sales since 1990
A.Linear B.Quadratic C.Exponential
Half life of a pesticide
A.Linear B.Quadratic C.Exponential
Throwing a baseball in the air
A.Linear B.Quadratic C.Exponential
Population of a colony of feral cats
A.Linear B.Quadratic C.Exponential
Grade on a test compared to hors of studying A.Linear B.Quadratic C.Exponential
Driving at a constant rate of speed
A.Linear B.Quadratic C.Exponential
Answer:
the last one is linear
the throwing a baseball in the air is quadratic
half life of a pesticide is exponential
thats all i know
Step-by-step explanation:
What is the value of the expiración below when Z = 7?
3z - 3
A)12
B)18
C)21
D)34
Answer:
B)18
Step-by-step explanation:
3z-3
Let z=7
3*7 -3
Multiply first
21-3
Then subtract
18
Answer:
B
Step-by-step explanation:
A cat is stuck on the roof If the ladder is 16 feet long and must be placed six feet long and must be placed six feet away from the building How high can the ladder reach up the building to help save the cat?
14.8 feet
22 feet
37.9 feet
220 feet
How did it get on the roof?
Answer:
The answer is A. 14.8 feet.
Explanation:
We can use the Pythagorean theorem to solve this problem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the ladder represents the hypotenuse, and the distance from the building and the height reached by the ladder represent the other two sides.
Let's denote:
- [tex]\( a \)[/tex] as the distance from the building to the base of the ladder (6 feet)
- [tex]\( b \)[/tex] as the height reached by the ladder up the building (what we need to find)
- [tex]\( c \)[/tex] as the length of the ladder (16 feet)
According to the Pythagorean theorem, we have:
[tex]\[ a^2 + b^2 = c^2 \][/tex]
Substituting the given values:
[tex]\[ 6^2 + b^2 = 16^2 \][/tex]
[tex]\[ 36 + b^2 = 256 \][/tex]
[tex]\[ b^2 = 256 - 36 \][/tex]
[tex]\[ b^2 = 220 \][/tex]
To find [tex]\( b \)[/tex], we take the square root of both sides:
[tex]\[ b = \sqrt{220} \][/tex]
Using a calculator, we find:
[tex]\[ b \approx 14.8 \][/tex]
So, the ladder can reach up to approximately 14.8 feet on the building to help save the cat.
This table gives the dimensions for a scale drawing of a house. Every 2 inches on the scale drawing represents 1.5 feet of the original house. Use proportional reasoning to complete the table with the original lengths.
Answer:
A: 6
B: 9
Step-by-step explanation:
All you do is multiply 1.5 times 4. To get A
And for B you just multiply 1.5 times 6
A block of aluminum occupies a volume of 15.0 mL and weighs 40.5 g.
What is its density? (answer in g/mL)
Answer:
0.00037037037 m3 / kg
Step-by-step explanation:
2 divided by -12 what is the answer?
Answer:
-1/6
Step-by-step explanation:
When dividing 2 by -12 you would use 2 as the numerator and -12 as the denominator and then simplify it by dividing both by two to end up with -1/6
1. A rectangular tile has a decorative
pattern of 3 equal-sized squares, each
of which is divided into 2 same-sized
triangles. If Marnie uses 36 of these tiles
on the wall behind her kitchen stove,
how many triangles are displayed?
Answer:
216
Step-by-step explanation:
Each of the 36 tiles has 3×2 = 6 triangles, so there are a total of ...
36×6 = 216 . . . triangles
I WILL MAKE U THE BRAINLIEST
Answer: 4/3
Step-by-step explanation:
The method of SOH CAH TOA helps tremendously in this equation.
TOA is the one necessary for this problem as it means tangent = opposite side/adjacent side.
Opposite side = 4
Adjacent side = 3
Opposite side/adjacent side = 4/3