\(\huge\underline\mathsf \colorbox{cyan}{-1/2}\)
Step-by-step explanation:
Roots of a plotted quadratic equation f(x) can easily be known by knowing where it cuts the x- axis. So this parabola cuts x axis at (-1/2,0) and at (2,0).Boom there you have it.Amanda wants to move to a nelghborhood in Florida that has a dog restriction. Each home owner is allowed one dog with a welght limit of 30 pounds. Amanda just went to the vet and he told her that her dog welghed 12 kilograms. Does Amanda's dog meet the weight requirement so that they can move to Florida? In complete sentences explain how to convert kilograms Into pounds, and decide whether or not Amanda can move to this nelghborhood with her dog.
Yes it can as 30 pounds is 13.6078 kg
1 pound is 0.453592 so u just have to multiple it with 30
0.453592 x 30= 13.6078
A die is rolled twice. What is the probability rolling a 3 first, followed by rolling an even number? Leave your answer as a reduced fraction.
The probability of rolling a 3 first, then an even number, is 1/12.
What do we mean by probability?Probability is simply the likelihood of something occurring. When we are uncertain about the outcome of an event, we can discuss the probabilities of various outcomes—how likely they are. Statistics is the study of events governed by probability.So, in the given situation the first roll has no effect on the second roll because they are separate events.
Because they are independent, the probabilities of the two events can be multiplied.
The probability of getting a 3 is 1/6.The probability of getting an even number is 1/2 (2, 4, 6).Now, we will multiply the two probabilities as follows:
1/6 × 1/2 = 1/12Therefore, the probability of rolling a 3 first, followed by rolling an even number is 1/12.
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What is the value of 15 + x2 when the value of x is 3
Answer:
21
Step-by-step explanation:
15 + (3)2
15 + 6
21
Answer:
24
Step-by-step explanation:
15+x2
= 15 + (3x3)
= 15 + 9
= 24
what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
express following
Following numbers in the
Standard form: 3.091403
for you
Answer:
\(3.10* 10^0\)
Step-by-step explanation:
Given
\(3.091403\)
Required
Express in standard form
A number in standard form can be expressed as:
\(a * 10^b\)
Where
\(1 \leq a \leq 10\)
i.e.
a is between 1 and 10 (inclusive) and preferable, a should be in 2 decimal places
We have that:
\(3.091403\) is between 1 and 10.
So, in standard form it is:
\(3.091403 * 10^0\)
Approximate to 2 decimal places
\(3.10* 10^0\)
Hence, the standard form of \(3.091403\) is \(3.10* 10^0\)
you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game?
Answer:
The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.
Step-by-step explanation:
Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing
In this case:
Probability of Winning = 0.05
Payout for Win = $5
Cost of Playing = $1
Expected Value = (0.05 * $5) - $1
Expected Value = $0.25 - $1
Expected Value = -$0.75
Stealers, study components: In a study of the relationship between socio-economic class and unethical behavior, 129 University of California undergraduates at Berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. They were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. After completing some unrelated tasks, participants reported the number of candies they had taken. It was found that those who were identified as upper-class took more candy than others (Piff, 2012). Identify the following about this study.
a) What are the cases?_____
b) What are the variables and their types?_____
c) What is the main research question?_____
Answer:
a) 129 University of California undergraduates at Berkeley.
b) (i) social-class (ordinal), (ii) money (continuous), (iii) education (ordinal) , (iv) respected job (ordinal), (v) number of candies (continuous)
c) The main question is to find the relationship between socio-economic class and unethical behaviour
Step-by-step explanation:
a) 129 University of California undergraduates at Berkeley.
b)
i) social-class (ordinal)
ii) money (continuous)
iii) education (ordinal)
iv) respected job (ordinal)
v) number of candies (continuous)
c) The main question is to find the relationship between socio-economic class and unethical behaviour
matthew drove 252 miles to his familys vacation spot his father drove twice as many miles and then thy arrived at their hotel how far did the family travel to get to their destination
12 years ago, Catherine deposited $200 in a savings account that pays 7.25% simple
interest What is the balance in Catherinesco
Answer:
$374
Step-by-step explanation:
First you need to find how much money does the back pay per year
$200*7.25
=1450
1450/100
=14.5
Secondly you need to find how much does Catherine have in 12 years
14.5*12 years
=$174
Lastly add the money she already had 12 years ago to how much the bank payed in that 12 years
$200+$174
=$374
A popular coffee store offers rewards program where member earn points for each purchase at store. Each $1 spent is worth 2.5 points. Members can earn 200 points when they sign up. Write a function rule for total points.
The member earns a total of 325 points. This is how we write a function rule for total points in a popular coffee store.
To write a function rule for total points that members earn in a popular coffee store, some factors need to be considered. These factors are the value of each point, the amount of points members earn for signing up, and the total amount of money members spend to earn points.
To begin, each $1 spent is worth 2.5 points.
Therefore, if members spend x dollars, they earn 2.5x points. For instance, if a member spends $10, they will earn 2.5 × 10 = 25 points.
Additionally, members can earn 200 points when they sign up. This implies that the total points members can earn is 200 + 2.5x.
This total point earned can be expressed as a function of the amount spent in the store. Hence, we can use the following formula:
y = 200 + 2.5xWhere y represents the total points earned and x represents the total amount spent in the store.
To illustrate, if a member spends $50 on coffee, their total point earned will be:
y = 200 + 2.5(50)y = 200 + 125y = 325
Therefore, the member earns a total of 325 points. This is how we write a function rule for total points in a popular coffee store.
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determine which number or numbers can be a solution for the inequality
32+a>44 11, 12, 13, 14
The numbers can be a solution for the inequality 32+a>44 is 13 and 14.
What is the solution set to an inequality or an equation?If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.
Given that;
The inequality= 32+a>44
To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.
32 + a > 44
Subtract 32 from both sides:
a > 44 - 32
a > 12
This means that any number greater than 12 can be a solution to the inequality.
Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.
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Calculate the mass of solid sodium acetate required to mix with 50.0 mL of 0.1 M acetic acid to prepare a pH 4 buffer.
The mass of solid sodium acetate required to mix with 50.0 mL of 0.1 M acetic acid to prepare a pH 4 buffer is 20.1 g
To prepare a pH 4 buffer, we need to use the Henderson-Hasselbalch equation
pH = pKa + log([A-]/[HA])
where pH is the desired pH, pKa is the dissociation constant of acetic acid (1.76), [A-] is the concentration of the acetate ion, and [HA] is the concentration of acetic acid
We can rearrange the Henderson-Hasselbalch equation to solve for the ratio of [A-]/[HA]
[A-]/[HA] = 10^(pH - pKa)
Substituting the given values, we have
[A-]/[HA] = 10^(4 - 1.76) = 48.937
We want to make a buffer by mixing solid sodium acetate with 50.0 mL of 0.1 M acetic acid. Let's assume that all of the acetic acid is converted to acetate ion and that the volume of the solution remains constant.
The number of moles of acetic acid in 50.0 mL of 0.1 M solution is
moles of acetic acid = 0.1 mol/L x 0.050 L = 0.005 mol
Since [A-]/[HA] = 48.937, the number of moles of acetate ion required to make the buffer is
moles of acetate ion = 48.937 x 0.005 mol = 0.245 mol
The molar mass of sodium acetate is 82.03 g/mol. To calculate the mass of solid sodium acetate required, we can use the following equation
mass of sodium acetate = moles of acetate ion x molar mass of sodium acetate
mass of sodium acetate = 0.245 mol x 82.03 g/mol = 20.1 g
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Find the perimeter of the image below.
30.18 units
33 units
28.38 units
34.18 units
Answer:
125.74 units
Step-by-step explanation:
30.18 units
33.00 units
28.38 units
34.18 units
125.74
What is the absolute value of 7 and -7?
Absolute value represents distance from zero on a number line.
-7 and 7 are the same distance away from zero, 7 units.
To visualize this, take a look at the image I have made below.
Answer:
both are 7
Step-by-step explanation:
absolute value is always a positive number.
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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Which product is rational?
12⋅11−−√12 times square root of 11
15⋅4.398671....
13⋅π
Based on the given figures, the formula that will produce a rational number is 15⋅4.398671.
What are rational numbers?Rational numbers are numbers that do not have an infinite value. This means that they are not infinite when in decimal form.
Some rational numbers might be infinite but they will always be repeating. For instance, 0.333333333333... is a rational number because the 3 keeps repeating.
The product of 12 x the square root of 11 is infinite and so is not a rational number.
13 multiplied by π is also infinite.
15 x 4.398671.... is not infinite and takes the value of 65.980065 so this is a rational number.
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Which quadrant are the following points located:
(3, –2)
A.
4
B.
2
C.
3
D.
1
Answer:
A
Step-by-step explanation:
x is positive and y is negative
Oki and Stephen are making bags of trail mix to sell. Oki’s trail-mix recipe requires 3 cups of nuts and 3 cups of dried fruit per bag. Stephen’s trail-mix recipe requires 4 cup of nuts and 2 cups of dried fruit per bag. Together, they want to make as many bags of trail mix as possible. They have exactly 120 cups of nuts and 90 cups of dried fruit. Find the maximum number of bags of trail mix Oki and Stephen can make together.
A. write a system of inequalities
B. Graph and find coordinates of the vertices of the feasible region.
C. Find the maximum number of bags of trail mix oki and stehpen can make. How many of each type of recipe should they make to maximize the total number of bags
Answer: Oki should make 0 bags of her recipe, and Stephen should make 30 bags of his recipe.
For vertex (15,15):
3x + 4y = 120 --> 3(15) + 4(15) = 120 --> x = 15
3x + 2y = 90 --> 3(15) + 2y = 90 -->
Step-by-step explanation: A. To find the maximum number of bags of trail mix that Oki and Stephen can make together, we can use a system of inequalities to represent the constraints:
Let "x" be the number of bags of trail mix that Oki makes and "y" be the number of bags that Stephen makes. Then we have:
3x + 4y ≤ 120 (constraint on the number of cups of nuts)
3x + 2y ≤ 90 (constraint on the number of cups of dried fruit)
x ≥ 0 (non-negative constraint for Oki's bags)
y ≥ 0 (non-negative constraint for Stephen's bags)
B. To graph the feasible region, we can start by graphing the two constraint equations as lines:
3x + 4y = 120 (line A)
3x + 2y = 90 (line B)
We can find the x and y intercepts for each line:
For line A:
When x = 0, 4y = 120, y = 30 (y-intercept)
When y = 0, 3x = 120, x = 40 (x-intercept)
For line B:
When x = 0, 2y = 90, y = 45 (y-intercept)
When y = 0, 3x = 90, x = 30 (x-intercept)
Next, we can shade the region that satisfies all of the constraints. This region is below line A and to the left of line B, and is bounded by the x and y axes.
We can find the vertices of the feasible region by finding the intersection points of the two lines and the axes. These vertices are (0,0), (0,30), (15,15), and (30,0).
C. To find the maximum number of bags of trail mix that Oki and Stephen can make together, we need to evaluate the objective function at each vertex of the feasible region, and choose the vertex that maximizes the objective function.
The objective function is the total number of bags of trail mix:
z = x + y
Evaluating at the vertices:
Vertex (0,0): z = 0 + 0 = 0
Vertex (0,30): z = 0 + 30 = 30
Vertex (15,15): z = 15 + 15 = 30
Vertex (30,0): z = 30 + 0 = 30
The maximum value of the objective function occurs at vertices (0,30) and (15,15), where z = 30 bags of trail mix.
To determine how many of each type of recipe to make, we can substitute each vertex into the two constraint equations to find the corresponding values of x and y.
For vertex (0,30):
3x + 4y = 120 --> 3x + 4(30) = 120 --> 3x = -90 --> x = -30
3x + 2y = 90 --> 3(-30) + 2(30) = 90 --> y = 15
Therefore, Oki should make 0 bags of her recipe, and Stephen should make 30 bags of his recipe.
For vertex (15,15):
3x + 4y = 120 --> 3(15) + 4(15) = 120 --> x = 15
3x + 2y = 90 --> 3(15) + 2y = 90 -->
PLS HELP These tables represent a quadratics function
Answer:
A
Step-by-step explanation:
is moving by 2 but there negative numbers which makes it -2
HELP!!!!!!!!!!!!!!!!!!
Answer:
D 0.89275
Step-by-step explanation:
i need help solving ------> 2y = 18
Answer: 9
Step-by-step explanation:
divide 2 by y and 18 and the the 2divided by 2 cancel out. then divide 18 by 2 and you get y = 9
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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Kevin walked a total of 14.98 miles last week. He walked the same distance each of the 7 days. How many miles did Kevin walk each day?
Answer:
2.14?
Step-by-step explanation:
(I'm not good at explaining, but I THINK its 2.14)
You go to the snack bar to buy a bagel and a drink for lunch. You can choose from a plain
bagel, a blueberry bagel, or a raisin bagel. The choices for a drink include water or a sports
drink. How many different lunches could be made with these choices?
Answer:
18 I believe
Step-by-step explanation:
Yin min owns A small store the first month store was open she made 1375 in profit during the next month she advertising local newspaper and saw a 60% increase in profit how much profit did she make the second month?
Hey there! As far as I understand the problem, she made $2,200 in profit. Take 1,375 and multiply it by 1.6.
2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?
Answer:
12000 mg/day or 80 capsules
Step-by-step explanation:
First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.
44/2.2=20 kg
600*20=12000 mg per day
12000/150=80 capsules
Seems a bit excessive but looking over my process I don't see any mistakes.
which value of x makes this inequality true? x+9<4x
Answer:
Step-by-step explanation:
x+9
Let x, be 4
4+9=13
given condition,
x+9<4x
4+9<4(4)
13<16
The answer is:
x > 3Work/explanation:
Our inequality is:
\(\sf{x+9 < 4x}\)
Flip it
\(\sf{4x > x+9}\)
Solve
\(\sf{4x-x > 9}\)
Combine like terms
\(\sf{3x > 9}\)
Divide each side by 3
\(\sf{x > 3}\)
Hence, x > 3What is the volume of this figure?
Answer:
\(volume = 4 \times 4 \times 4 \\ = {4}^{3} \\ = 64 \: cubic \: ft\)
The dot plots represent the number of students who enrolled each year for the AP psychology course at two schools. The data represents the last 24 years. Which statement is true based on the mean number of students enrolled in the course?
Answer:
D. The number of students enrolled each year in school 1 is generally lower than the number of students enrolled in school 2.
Step-by-step explanation:
I got it right on the test :)
Lily is $90\text{ cm}$ tall. If Anika is $\frac{4}{3}$ of the height of Lily, and Sadaf is $\frac{5}{4}$ of the height of Anika, how tall is Sadaf?
Answer:
your mom
u.w.u
lol
haha
study well