Answer:
The answer is A, -4.
Step-by-step explanation:
For solving the parenthesis, 2/3 + 2 = 8/3, Since 2 is equivalent to 6/3.
-4 + 8/3 = -4/3. n = 1/3, so the equation would be -4/3 divided by 1/3. that would equal to -4.
Answer:
\frac{m-2}{n}
\(\frac{1}{2} \)
Step-by-step explanation:
evaluate = \(\frac{m-2}{n} \)
when m = n= \(\frac{1}{2} \)
PLEASE HELP ❗️❗️❗️❗️
You can sometimes determine whether there is a ______
between
two variables from a scatterplot.
Answer:
point? this question could have many answers
Maria mixes cream and milk in a ratio of 2 parts cream and 3 parts milk.
She uses 8 liters of cream in her mixture.
How many liters of mixture in
all does she make?
How many liters of milk does she use for the mixture?
Answer:
If Maria uses 2 parts cream and 3 parts milk, then for every 2 parts of cream, she uses 3 parts of milk.
Since she uses 8 liters of cream, we can find the total volume of mixture by finding the equivalent volume of milk that she used.
To find the equivalent volume of milk, we multiply the volume of cream by the ratio of milk to cream:
8 liters * (3 parts milk) / (2 parts cream) = 12 liters
So Maria used 8 liters of cream and 12 liters of milk for a total volume of 20 liters.
Gamestop buys a video game for $37 each
and marks up the price by 25%. What is the
selling price of a video game?
Answer:
$46.25
Step-by-step explanation:
37*1.25=46.25
The total cost of producing a type of car is given by C(x)=21000−90x+0.1x2, where x is the number of cars produced. How many cars should be produced to incur minimum cost? Please explain how you got the answer, THANKS!
Answer: To find the number of cars that should be produced to incur minimum cost, we need to find the minimum value of the cost function C(x). Since C(x) is a quadratic function, it will have a minimum value, which is either a relative minimum or an absolute minimum. To find the number of cars that should be produced to incur the minimum cost, we will find the derivative of C(x) and set it equal to zero.
To find the derivative of C(x), we can use the power rule, which states that the derivative of x^n is n*x^(n-1).
The derivative of C(x) = 21000 - 90x + 0.1x^2 is
C'(x) = -90 + 0.2x
To find the minimum cost, we set C'(x) equal to zero and solve for x:
-90 + 0.2x = 0
0.2x = 90
x = 450
So, producing 450 cars will incur the minimum cost.
To verify that this is indeed a minimum, we can find the second derivative of C(x) which is 0.2, since the second derivative is positive, we can confirm that x = 450 is a relative minimum.
Alternatively, we can substitute x = 450 into the cost function and find the minimum value, which is C(450) = 21000 - 90(450) + 0.1(450)^2, which is less than any other value of C(x) for x≠450.
Therefore, to incur the minimum cost, 450 cars should be produced.
Step-by-step explanation:
PLEASE HELP 100 POINTS, ASAP!
Answer:
25/8(x-6) + 7/8(x+2)
Step-by-step explanation:
Answer:
25/8(x-6) + 7/8(x+2)
Step-by-step explanation:
Which of the following conditions must be met if you want to use z-
procedures to construct a confidence interval for a population proportion?
1. The sample size must be at least 30 (some texts say 50).
II. The population must be at least 10 times as large as the sample (some
texts say 20).
III. Both np and n(1-P) must be at least 10 (some texts say greater than 5).
A. I only
B. Il only
C. III only
D. II and Ill only
E. All are necessary conditions.
Answer: II and III only (2 and 3 only)
Step-by-step explanation: took test and got it right
How do we make use of functions to solve real,life problems?
Answer:
mostly to measure interest rates
this is reading btw and you get 23 points Fast pls
Think about the article you just read. Write two to three sentences describing what you would visualize in your mental model to understand how the two animals look different from each other.
The article red was titled "sense of emotion of dog and cat to humans"
To visualize the differences in feeling between Dogs and cats towards people, I would think of a dog swaying its tail and hopping up with fervor upon seeing its owner, whereas a cat may approach its owner more calmly and gradually with a loose tail.
I might picture the puppy gasping and looking for physical fondness, whereas the cat may lean toward to be petted or rubbed under the chin.
What is the mental model?Dogs show enthusiasm and affection towards owners, while cats exhibit different behaviors. Dogs show excitement through body language like wagging tails, jumping, seeking affection, and vocalizing.
Pets express joy and eagerness to be around humans, with cats being more reserved towards humans. Although affectionate, cats express emotions subtly such as calm body posture and soft chirping.
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What is the product (40 + (-10))((36 + (-9))(32 + (-8))...(-32 + 8)(-36 + 9)(-40 + 10) where the first number in each factor is decreasing by 4 and second number in each factor is increasing by 1?
Answer:
0
Step-by-step explanation:
The first number is 40 and decreases by 4 in each factor, and the second number is -10 and increases by 1 in each factor.
The first number is positive and decreases by 10% its value in each factor, and the second number is negative and increases by 10% its absolute value in each factor. That means we will have a factor where both numbers are 0 (in the 11th value, we will have the first number 40 - 4*10 = 0 and the second number -10 + 1*10 = 0), so the factor will be 0 + 0 = 0, and then whole product will be zero.
A cubic polynomial with a critical point at x=2, an inflection point at (1,4), and a leading coefficient of 1
If a critical point at x=2, an inflection point at (1,4), and a leading coefficient of 1, the final formula for the cubic polynomial is f(x) = x³ - 3x² + 12x - 6.
To find the formula for a cubic polynomial with specific properties, we can start by considering the critical point and the inflection point.
Given that the critical point is at x = 2, we know that the derivative of the cubic polynomial should be equal to zero at x = 2. This means that the slope of the polynomial at x = 2 is zero. Taking the derivative of the cubic polynomial, we have:
f'(x) = 3ax² + 2bx + c.
Setting this equal to zero and substituting x = 2, we get:
3a(2)² + 2b(2) + c = 0.
12a + 4b + c = 0.
Now, let's consider the inflection point at (1,4). We know that the second derivative of the cubic polynomial should be zero at x = 1. Taking the second derivative, we have:
f''(x) = 6ax + 2b.
Setting this equal to zero and substituting x = 1, we get:
6a(1) + 2b = 0.
6a + 2b = 0.
Solving the system of equations consisting of 12a + 4b + c = 0 and 6a + 2b = 0, we find a = -1/2, b = 3/2, and c = -6.
Therefore, the formula for the cubic polynomial is:
f(x) = -1/2x³ + 3/2x² - 6x + d.
The leading coefficient is 1, so we have:
f(x) = x³ - 3x² + 12x + d.
To determine the value of d, we can use the fact that the inflection point is (1,4). Substituting x = 1 and y = 4 into the equation, we get:
4 = 1 - 3 + 12 + d.
4 = 10 + d.
d = -6.
Therefore, the final formula for the cubic polynomial is:
f(x) = x³ - 3x² + 12x - 6.
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Complete question is:
Find the formula for a cubic polynomial, ax³+bx²+cx+d, with a critical point at x=2, an inflection point at (1,4), and a leading coefficient of 1.
for each diagram, determine whether angles 1 & 2 are adjacent angles, heeeelp please :(
Answer:
Diagram 5: Not adjacent angles
Diagram 6: Not adjacent angles
Diagram 7: Are adjacent angles
Diagram 8: Are adjacent angles
Step-by-step explanation:
In order for angles to be adjacent, they need to have all of three things:
1. Have a common vertex
2. Have a common side
3. Must not overlap
Diagram 5 does not have a common side between angles 1 and 2, so it is not adjacent.
Diagram 6 does not even have angles 1 and 2 connected in any way so it is not adjacent.
Diagrams 7 and 8 have all three conditions, so those diagrams are adjacent.
The value of n is a distance of 1.5 units from -2 on a number line. Click on the number line to show the possible values of n. -5 - 4 -3 -2 -1 0 1 2 3 4 5
Answer:
Its Going to be -4
Step-by-step explanation:
Which of the following situations best matches the data in the table?
Based on the graph, the situation that best matches what the data on the table shows is C. Elyse soends $3 for movie rentals and the beginning balance in her account is $18. Her movie card balance decreases by $3 everytime she rents a movie.
What does the data on the graph show?The data on the graph shows the amount of money that was spent by Elyse for every movie she rented. She did so with the use of a gift card. Based on the fact that the graph begins at $18, this means that the amount on the gift card was $18.
The amount that Elyse spent per movie was:
= Change in amount on gift card / Change in movies rented
= (18 - 12) / (2 - 0)
= 6 / 2
= $3
Elyse therefore spent $3 whenever she rented a movie.
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help please! True or False: all cells have a cell membrane.
Answer:
true
Step-by-step explanation:all cells have a cell membrane but not all have cell walls
a 6-foot person standing 29 from a street light casts an 8-foot shadow. what is the height of the street light?
The height of the street light can be calculated by using the ratio of the person's height to their shadow length. The street light is 17 feet tall.
The height of the street light can be calculated by using the ratio of the person's height to their shadow length. In this case, the person is 6 feet tall and their shadow is 8 feet long. This gives us a ratio of 6:8 or 3:4. Since we know the person is standing 29 feet away from the street light, we can use this ratio to calculate the height of the street light. Using the ratio, we can say that for every 4 feet the person is away from the street light, the light is 3 feet tall. So if the person is 29 feet away from the street light, the light must be 3 x 29 ÷ 4 = 21.75 feet tall. However, since the height of the street light must be a whole number, we can round up and say that the street light is 17 feet tall.
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The amunt of money that college students spend on rent each month is usually between $300 and $600. However, there are a few students who spend $1,300. What measure of spread would be most appropriate to measure the amount of money that college student spend on rent per month? Explain in detail why or why not one of the below measures would be used.
A. Median
B. Range
C. Standard Deviation
D. Inquartile Range
The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.
To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.
The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.
Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.
The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.
In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.
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Segment AB is tangent to circle O at B. Find the length of the radius when AB=8, and AT= 4. Round to nearest tenth
The length of the radius when AB = 8, and AT= 4 round to nearest tenth is: 8.9
How to find the radius of the segment?So the line segment that is tangent to the circle is 8, and AT is 4
When we connect them, we will see that they are perpendicular, and as such we will have a right triangle with one unknown leg that we will call X, a leg that is 8, and an adjacent side that is 4
If you use the Pythagorean Theorem, you will find that the leg is:
X = √(8² + 4²)
X = √80
X = 8.9
That leg is the radius.
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4. Mr. Y invested $2,000 in two accounts. One pays 7%
annual interest; one 5%. At the end of 1 year, Mr. Y
earned $155 in interest. How much had Mr. Y invested
in the account paying 7%?
Answer:
He invested approximately $2,215
Step-by-step explanation:
Mr Y invested $2000 in two accounts.
One pays 7%, and the other pays 5%.
At the end of one year, Mr Y earned $155 in interest. We want to know how much Mr Y invested in the account paying 7%.
Let the amount he invested be X, then
7% of X = 155
(7/100)X = 155
0.07X = 155
X = 155/0.07
= 2,215
He invested approximately $2,215
5) The floor of a room is in the shape of
a rectangle. The room is c meters long
and the width of the room is 2cm less
than its length.
a) write in terms of c;
i) the width of the floor
ii) the area of the floor
b) If the area of the room is 15cm²,
write down an equation in c to show
this information.
c) Use the equation to find the length
and width of the room.
Answer: a) i) The width of the floor can be expressed in terms of c as: w = c - 2 cm.
ii) The area of the floor can be expressed in terms of c as: A = c * (c - 2) cm^2.
b) If the area of the room is 15 cm^2, then we can write the equation as:
c * (c - 2) = 15.
c) Solving for c, we get:
c^2 - 2c - 15 = 0.
Using the quadratic formula, we find that:
c = 5 or c = -3.
Since the length of the room cannot be negative, we choose c = 5.
Therefore, the length of the room is 5 cm and the width of the room is 3 cm.
Step-by-step explanation:
This circle graph shows how the students in two sixth-grade classes get to school. Fifty students were surveyed. What percent takes the bus?
Forty percent of the students surveyed take the bus to school, as indicated by the circle graph.
To calculate the percent of students who take the bus to school, we can use the information provided in the circle graph. There are a total of 50 students surveyed, and the graph indicates that 20 of them take the bus. To find the percent, we can first divide the number who take the bus (20) by the total number surveyed (50). This gives us 0.4, which, when multiplied by 100, is 40%. Therefore, 40% of the students surveyed take the bus to school. Hence, Forty percent of the students surveyed take the bus to school, as indicated by the circle graph.
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Which one is right?
Answer:
a
Step-by-step explanation:
a binary tree is a structure in which each node is capable of having successor nodes, called .
A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."
In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.
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Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving?
one and one seventh pounds
nine and three sevenths pounds
two over 49 pounds
three sevenths pounds
Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The number of pounds for 3 people is given by:
\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)
Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:
\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)
24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:
one and three seventh pounds.
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Answer:
Step-by-step explanation:
the awnser is cerrot.
⚠which graph represents the solution to the givin system? (1 point)⚠
-4x+3y=-12 and -2x+3y=-18
A-(2.67,-2)
B-(-3,-8)
C-(1,-5.33)
D-(-1.5,-5.33)
plzz will give brainlyest!!!
Answer:
i thik it is B
Step-by-step explanation:
i am not a 110% sure.
If ∠1 ≅ ∠2 ≅ ∠3, ∠4 ≅ ∠5, and m∠4 = m∠3 + 10°,
what is m∠5?
Answer:
m∠5 =60°
Step-by-step explanation:
Credit: cecepham
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7 cm
3 cm
A square has the same perimeter as the rectangle.
What is the side length of this square?
I
Answer:
20 is the perimeter
20÷4=5
each side of a square is 5cm
Step-by-step explanation:
Hope it helps!!!
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Find the volume of the cone shown as a decimal rounded to the nearest tenth.
Answer:
1866.10604
Step-by-step explanation:
V=3.14(r sqaured)1/3h
Andrew sanders sells sports equipment and is paid a commission of 5.55 on regular price items and 4.5% on sale price items. What is the total commission for a week when he sells $8,880 worth of regular Price sportswear and $10,648 for sale price sports equipment?
Answer:
$971.81
Explanation:
$8,880.00 X 5.5%=$488.40 Regular price items, sales commision is 5.5%.
$10,648.00 x 4.5%=$483.41 Sales price items, sales commision is 4.5%
$488.40 Regular price items
+$483.41 Sales price items
Total $971.81 commission
Someone please help me
9514 1404 393
Answer:
14.09 square units
Step-by-step explanation:
The desired area is the area of the full circle, multiplied by the fraction that is shaded. That fraction is the ratio of the sector central angle to the central angle for a whole circle: 42°/360°.
A = πr²(d/360)
A = 3.14159(6.2²)(42/360) ≈ 14.09
The area of the shaded sector is about 14.09 square units.
The number of trams X arriving at the St. Peter's Square tram stop every t minutes has the following probability mass function: (0.25t)* p(x) = -exp(-0.25t) for x = 0,1,2,... x! The probability that 1
The probability that 1 tram arrives can be represented by the function 0.25t * exp(-0.25t).
The probability mass function (PMF) for the number of trams X arriving at the St. Peter's Square tram stop every t minutes is given as:
p(x) = (0.25t)^x * exp(-0.25t) / x!
To find the probability that 1 tram arrives, we substitute x = 1 into the PMF:
p(1) = (0.25t)^1 * exp(-0.25t) / 1!
= 0.25t * exp(-0.25t)
The probability that 1 tram arrives can be represented by the function 0.25t * exp(-0.25t).
Please note that this probability depends on the value of t, which represents the time interval. Without a specific value of t, we cannot provide a numeric result for the probability. The function 0.25t * exp(-0.25t) represents the probability as a function of t, indicating how the probability of one tram arriving changes with different time intervals.
To calculate the specific probability, you need to substitute a particular value for t into the function 0.25t * exp(-0.25t) and evaluate the expression. This will give you the probability of one tram arriving at the St. Peter's Square tram stop within that specific time interval.
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