The given inequality is expressed as
0 < a < 6
This means that the values of a that would satisfy the inequality are numbers between 0 and 6 but both 0 and 6 are not inclusive. This would be shown by not making solid circles at 0 and 6. The number line is shown below
I was doing math then I got this question wrong.
Why is C not on the y-axis, and why is b on y-axis.
The options that correctly show the points of the given graph are;
Option 4: A is on the y-axis
Option 5; D is on the x-axis
How to interpret the axis of a graph?Usually in mathematical equation graphs, the y-axis represents the range of the function which is a set of all possible output values for given input values . Whereas, the domain is usually represented on the x-axis and it shows the set of all possible input values of the function.
Now, from the given graph, we see the following;
A is on the y-axis
B is at the origin
C is at the point (1, 2)
D is on the x-axis
Looking at the options, we can tell that options 4 and 5 are correct representations of the given graph because they correctly denote the points on the x-axis and y-axis.
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I HAVE 5 MINS PLS HELP WILL MARK BRAINLIEST IF CORRECT!
Answer: Perimeter: 29 Area : 2593.5
Step-by-step explanation: Perimeter is plus it all together and the area is times altogether. Hope that helps! :)
x ≤ 8
x > 8
x < 8
x ≥ 8
Answer:
x < 8
Step-by-step explanation:
the dot isnt filled so symbol wont have a line under it
line moving left of 8 so less than 8.
Question 7
Let f (x) = -2x³ + ax² +2. You are told that f (2) = 14, what is the value of a ?
a=9
a=8
a=7
a=6
Answer:
a = 7
Step-by-step explanation:
Substitute x for 2 and f(x) for 14
14 = -2(2³) + a(2²) + 2
14 = -16 + 4a + 2
14 = -14 + 4a
14 + 14 = 4a
28 = 4a
4a = 28
Divide both sides by 4
4a/4 = 28/4
a = 7
Alternative:
Since from the question, you're already told that f(2) = 14, you just have to find the number that can be multiplied by 2 with a resultant of 14; that number is 7. To confirm, substitute a for 7 in the equation.
PLEASE HELP!!! Given that x and y vary inversely and that y is 24 when x is 8, sketch a graph of this inverse variation function for x > 0.
Note that as x gets larger, y gets smaller, but the product xy remains constant at 192.
What is function?In mathematics, a function is a relationship between two sets, called the domain and the range, such that each element of the domain corresponds to exactly one element of the range. A function takes an input value (or values) and produces an output value (or values) according to a specific rule or formula. The input values are the domain of the function, and the output values are the range of the function. Functions can be represented using equations, graphs, tables, or verbal descriptions. They are used to model relationships between variables in various fields of mathematics, science, engineering, economics, and many other areas.
Here,
If x and y vary inversely, this means that their product is a constant. We can use this fact to find the constant of proportionality k as follows:
k = xy
If we know that y is 24 when x is 8, we can substitute these values into the equation above to solve for k:
k = xy
= 8(24)
= 192
Now we can use this value of k to write the inverse variation function:
xy = 192
or
y = 192/x
To sketch a graph of this function for x > 0, we can plot a few points and connect them with a smooth curve. Here are some points we can use:
(x, y)
(1, 192)
(2, 96)
(4, 48)
(8, 24)
(16, 12)
(24, 8)
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The perimeter of the triangular park shown on the right is 10x - 6. What is the missing length?
Answer:
missing length = 6x - 5
Step-by-step explanation:
the perimeter is the sum of the 3 sides.
subtract the sum of the 2 given sides from the perimeter for missing side, that is
10x - 6 - (x + 1 + 3x - 2)
= 10x - 6 - (4x - 1 ) ← distribute parenthesis by - 1
= 10x - 6 - 4x + 1 ← collect like terms
= 6x - 5
missing length = 6x - 5
Answer the following question
9
12
7
6
Graph slope =-3 y-intercept=4
Answer:
Step-by-step explanation:
slope intercept: y = mx + b
where m is the slope and b is the y-intercept
Equation: y = -3x + 4
Since y-intercept is given, then we have the first point of the line as (0,4)
Let's find the value of x when y is 0
y = -3x + 4
0 = -3x + 4
3x = 4
x = 4/3
(4/3,0) ---second point
Since there are two points/coordinates already then we can now plot/graph.
Which example shows correlation,but NOT causation?
Answer:
D.
Step-by-step explanation:
Ice cream sold and time spent in a pool shows correlation, not causation because people tend to eat ice cream and swim when the weather is hot. One does not cause the other.
If a obtuse triangle Has a base of 9in an 13in height what is the area triangle?
Is the data set approximately periodic?
If so, what are its period and amplitude?
Hour
Number of cars
1 2 3
4
5
6
7 8 9 10 11 12
52 76 90 75 91 104 89 105 119 103 121 135
The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.
How to explain the valueThe period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.
Hour | Number of cars
------- | --------
1 | 90
2 | 52
3 | 76
4 | 75
5 | 91
6 | 104
7 | 89
8 | 105
9 | 119
10 | 103
11 | 121
12 | 135
As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.
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Derrick and Janis are planting
150 strawberry plants.
The first day, Derrick plants 20% of
the strawberry plants. Janis plants
60% of the strawberry plants.
Eliezer
How many strawberry plants do Derrick and Janis plant on the first day?
Choose one option from each drop-down menu to answer the question.
On the first day, Derrick plants Choose... strawberry plants.
Janis plants Choose... strawberry plants.
Together, they plant a total of Choose... strawberry plants.
X
Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.
To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.
Derrick planted 20% of the 150 strawberry plants:
20% of 150 = (20/100) * 150 = 30 strawberry plants.
Janis planted 60% of the 150 strawberry plants:
60% of 150 = (60/100) * 150 = 90 strawberry plants.
Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.
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Sam works at a shoe store. He earns $300 every week plus $15 for every pair of shoes that he sells. How many pairs of shoes would he need to sell to make $500 in a week?
Answer:
300 + 15x = 500
15x = 200
x = 200/15
x=13.333
14 pair of shoes
Step-by-step explanation:
Eileen is reading a novel for her library’s summer reading program. Which question can Eileen ask herself to best form a personal connection with the text?
A. What symbolism does this novel share with other novels I have read?
B. How do the facts in the text add to what I already know about my research topic?
C. What connections can I build between the themes in this text and other modern stories?
D. How do the struggles of the characters compare with challenges I have faced in my own life?
Answer:
Step-by-step explanation:
To begin with the answer. This is very personal, but I would choose D. I think you have to relate things to what you know. How do other people live through the same problem? Does the author believe that the best path has been chosen, or does he/she believe that the central character is doomed to failure? And how do these comments relate to me. You are going to get the most out of any novel when you can relate to the central character or any of the characters for that matter.
I'm not concerned with C. You can read trash and what they say is likely consistent but that only means that trash is pandering to a clientele that does not want to think much. Whatever spin you put on C, agreement is not a terrific thing. It does not make you think.
I suppose B is important if you are reading non fiction. I'm not answering it that way.
A: not the answer. This is a very remote connection. Most of the time symbolism is not the main attraction of any novel nor especially of any non fiction writing. Moby D*ick is not a great novel because of its symbolism of which there is a huge amount. It is a great novel because the conflict is between man and nature and although that is symbolic, it is not as important as the character study of Ahab (who is himself a symbol). Nor or Ishmael for that matter. I will admit you have to have a Bible in one hand and Moby Di*ck in the other, but it is not critical. The theme is.
A shopper paid 11/100 of a dollar for 1/16 of a kilogram of nails. What was the rate in dollars per
kilograms?
Answer:
\(Rate = \$1.76/kg\)
Step-by-step explanation:
Given
\(\frac{1}{16}kg\) of nails costs \(\$ \frac{11}{100}\)
Required
Determine the rate
The rate, in this case, will be calculated as:
\(Rate = \frac{amount}{weight}\)
\(Rate = \frac{\frac{11}{100}}{\frac{1}{16}}\)
This gives
\(Rate = \frac{11}{100}/\frac{1}{16}\)
\(Rate = \frac{11}{100} * 16\)
\(Rate = \frac{176}{100}\)
\(Rate = \$1.76/kg\)
Answer:
Answer:
Step-by-step explanation:
Given
of nails costs
Required
Determine the rate
The rate, in this case, will be calculated as:
This gives
Step-by-step explanation:
Someone help me please!!
What is a number that could be placed in the blank to complete this set from least to greatest?
2/5, 1/2,----,6/8
Answer:
4/10, 5/10, 6/10
I'm guessing 6/10 simplified into 3/5
elsa hikes up a mountain. she hikes back down at a constant rate the table shows elsas elevation at each hour after she begins her descent
The linear equation from the given table is expressed as:
y = -1500x + 8350
How to find the equation from the table?The general form for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
The formula for the equation of a line through two coordinates is:
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
We will take the two coordinates (1, 6850) and (2, 5350)
Thus:
(y - 6850)/(x - 1) = (5350 - 6850)/(2 - 1)
(y - 6850)/(x - 1) = -1500
y - 6850 = -1500x + 1500
y = -1500x + 1500 + 6850
y = -1500x + 8350
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$14,000 is invested for 2 months at an annual simple interest rate of 13%.
a) You will earn $
in interest (round to the nearest cent).
b) The future value is
(round to the nearest cent).
The simple interest is I = $ 303.33 and the amount after 2 months with rate of 13 % is A = $ 14,303.33
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as I
Let the amount with simple interest be A = P + I
Now , the principal P = $ 14,000
The rate of interest R = 13 %
The number of months = 2 months
The number of years = 2/12 years
Simple Interest I = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest I = ( 14,000 x 13 x ( 2/12 ) ) / 100
On simplifying the equation , we get
Simple Interest I = $ 303.33
Now , the amount after 2 months = P + I
Amount = $ 14,000 + $ 303.33 = $ 14,303.33
Hence , the interest is $ 303.33
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A clothing designer is selecting models to walk the runway for her fashion show. The clothes she designed require each model’s height to be no more than y inches from 5 feet 10 inches, or 70 inches. Which graph could be used to determine the possible variance levels that would result in an acceptable height, x?
The graph that could be used to determine the possible variance levels that would result in an acceptable height is the third graph.
How can one depict the graph?Fron the information, the required model height for the designed clothes should be less than or equal to 5 feet 10 inches. In this case, the equation for the variance in height is of the straight line form;
y = m·x + c
Where x is the height in inches
Given that the maximum height allowable is 70 inches, when x = 0 we have;
y = m·0 + c = 70
Therefore, c = 70
Also when the variance = 0 the maximum height should be 70 which gives the x and y-intercepts as 70 and 70 respectively such that m = 1
The equation becomes;
y ≤ x + 70
Also when x > 70, we have y ≤ -x + 70 with a slope of -1
In this case, to graph an inequality, we will need to shade the area of interest which in this case of ≤ is on the lower side of the solid line.
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Samantha is making lemonade for her friends. The recipe makes 2 quarts of lemonade. Samantha says that 2 quarts will make 4 cups of lemonade, just enough for each of her friends to have one cup. Is she correct? Justify your thinking.
brainliest will be given to the first one who answers correctly please answer asap!
Answer:
Not enough info given. How many friends are there? if she has 3 friends over then yes because she will have enough lemonade for all of her friends and her to have 1 cup of lemonade. If she has more than 3 friends over, then no will not, she will have to double the recipe to assure there is enough.
Step-by-step explanation:
I hope this helps somewhat. Sorry if it's not correct
HELP ME PLEASEEE!!!!Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test. How long did Jordan spend studying for each test? Answers:
1 3/4 hours. 3/5 hours. 1/5 hours. or 1 2/3
Answer:
oh god I wanna feel dead oh god i wanna feel dead
what decimal is equivalent to 41 over 100 (pls keep it simple i am only in 5th grade )
Answer: 0.41
Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).
41 over 100 as a decimal point would be 41 divided by 100
Which produces the equivalent decimal, 0.41
P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)
0.41 = 41%
so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)
Best of luck in 5th grade :)
-5+6/3(2)+9^2 simplify this equation
Answer:
80
Step-by-step explanation:
-5+6/3(2)+9^2
−5+(2)(2)+92
−5+4+92
−1+92
−1+81
= 80
Use the Remainder Theorem to evaluate P(c).P(x) = 3x3 + 4x2 − 6x + 2, c = 3P(3) =
SOLUTION:
We want to use the remainder theorem to determine the remainder of the division;
\(P(x)=3x^3+4x^2-6x+2,\text{ }c=3\)Inserting x = 3, into the polynomial, we have;
\(P(3)=3(3)^3+4(3)^2-6(3)+2=101\)Thus;
\(P(3)=101\)A manufacturer has 576 square inches of material available to construct the 6 faces of a carton, which will be in the shape of a rectangular prism. To maximize the volume, the carton will have dimensions such that the length and width are each twice the height.
To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).
What is the dimension required to maximize the volume of the box?Assuming the height of the rectangular prism is h inches.
According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.
The total surface area of the rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Substituting the values, we have:
576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)
576 = 8h² + 4h² + 4h²
576 = 16h² + 4h²
576 = 20²
h² = 576/20
h² = 28.8
h = √28.8
h = 5.37
The height of the prism is approximately 5.37 inches.
The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.
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Two cars start moving from the same point. One travels south at 50 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth.
The rate at which the distance between the cars is increasing 2 hours later is 0 mi/h, by using the Pythagorean theorem.
To find the rate at which the distance between the cars is increasing, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Let's assume that after 2 hours, the distance traveled by the southbound car is d_south and the distance traveled by the westbound car is d_west.
Since the southbound car travels at a speed of 50 mi/h for 2 hours, we have d_south = 50 mi/h \(\times\) 2 h = 100 mi.
Similarly, the westbound car travels at a speed of 20 mi/h for 2 hours, so d_west = 20 mi/h \(\times\) 2 h = 40 mi.
Now, we can use the Pythagorean theorem to find the distance between the two cars:
\(distance^2 = d_south^2 + d_west^2distance^2 = 100^2 + 40^2distance^2 = 10000 + 1600distance^2 = 11600\)
distance ≈ sqrt(11600) ≈ 107.68 mi
To find the rate at which the distance between the cars is increasing, we differentiate the equation with respect to time:
2 \(\times\) distance \(\times\) \(\(\frac{{d(\text{{distance}})}}{{dt}}\)\) = 2 \(\times\) d_south \(\times\) \(\(\frac{{d(d_{\text{{south}}})}}{{dt}}\)\) + 2 \(\times\) d_west \(\times\) (d(d_west)/dt)
Since d_south and d_west are constant (no mention of their rates of change), we can simplify the equation to:
2 \(\times\) distance \(\times\) \(\(\frac{{d(\text{{distance}})}}{{dt}}\)\) = 0
Therefore, the rate at which the distance between the cars is increasing 2 hours later is 0 mi/h.
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Next
11
Post Test: Mathematical Models and Investments
Select the correct answer from each drop-down menu.
Identify the type of chart described and complete the sentence.
A
chart shows open and close prices and highs and lows, but over a long time period it can also show pricing
Reset
Submit Test
Next
A candle stick chart shows open and close prices and highs and lows, but over a long time period it can also show pricing trends.
What is a chart?In Mathematics and statistics, a chart is an effective medium that is used to graphically display data in a pictorial form. This ultimately implies that, a chart typically comprises the following elements:
TitleLegendData labelIn Financial accounting and statistics, a candle stick chart can be defined as a type of price chart that is typically used in technical analysis to graphically represent the low, high, open, and closing prices of a derivative, security, or currency, over a specific period of time.
In conclusion, a candle stick chart can display pricing trends over a long time period.
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Complete Question:
Select the correct answer from each drop-down menu. Identify the type of chart described and complete the sentence.
A _____ chart shows open and close prices and highs and lows, but over a long time period it can also show pricing ____
\frac{w^7}{w^{-2}} = \frac{w^a}{w^2}
Answer: a = 16
Step-by-step explanation:
What is the solution to the system of equations? { X + 2y = -8
y = 1/2x - 2
Answer: x=4 and y=2
Step-by-step explanation: my brain has far surpassed the human comprehension
Answer:
x = -2 , y = -3
Step-by-step explanation:
Let's rearrange the second equation to make x and y on the same side :
y = 1/2x - 2
1/2x - y = 2
Now let's compare the 2 equations :
x + 2y = -8
1/2x - y = 2
Now we multiply the second equation by 2 to make the co-efficient of y the same :
x + 2y = -8
x -2y = 4
Since the signs are different we add the 2 equations :
2x = -4
Divide both sides by 2 to solve for x :
x = -2
Substitute x value into equation 2 to solve for y :
y = 1/2(-2) - 2
y = -1 - 2
y = -3
Our answer is x = -2 , y = -3
Hope this helped and have a good day