Answer:
$936
Step-by-step explanation:
there are about 52 weeks in a year
18*52=936
Hope this helps!
a factory makes 400 refrigerators every day. the factory makes 125 more stoves per day than refrigerators. which equation can be used to find x, the total number of refrigerators and stoves the factory makes in one day? responses4
By using the unitary method in linear equation, the answer is 925.
We have a factory that makes 400 refrigerators every day and makes 125 more stoves per day than refrigerators is as follows:
Let's use the unitary method in linear equation to solve this problem. We can use the following equation to find x, the total number of refrigerators and stoves the factory makes in one day:
X = 400 (number of refrigerators) + (400 + 125) (number of stoves)
X = 400 + 525
X = 925
Therefore, the factory makes 925 refrigerators and stoves every day.
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Tallulah needs to order some new supplies for the restaurant where she works. the restaurant needs at least 569 glasses. there are currently 245 glasses. if each set on sale contains 10 glasses, write and solve an inequality which can be used to determine ss, the number of sets of glasses tallulah could buy for the restaurant to have enough glasses.
Tallulah needs to buy at least 33 sets of glasses, where each set has 10 glasses, to ensure the restaurant has at least 569 glasses. The inequality is 10s ≥ 324, solved as s ≥ 33.
Let's use "s" to represent the number of sets of glasses Tallulah could buy. Since each set contains 10 glasses, the total number of glasses she would purchase is 10s.
The restaurant needs at least 569 glasses, and currently has 245 glasses. Therefore, Tallulah needs to buy enough glasses to make up the difference:
569 - 245 = 324
To ensure that the restaurant has at least 569 glasses after Tallulah makes her purchase, we can set up the inequality:
10s ≥ 324
Solving for "s", we can divide both sides by 10:
s ≥ 32.4
Since Tallulah cannot buy a fraction of a set, we need to round up to the nearest whole number. Therefore, she must buy at least 33 sets of glasses to have enough for the restaurant.
So the final inequality and solution is:
10s ≥ 324
s ≥ 32.4
s ≥ 33 (rounded up to the nearest whole number)
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What’s the center of the hyperbola
What’s the left vertex?
What’s the other vertex?
The vertex is the point on the curves with minimum distance from focus and the center is the midpoint between the vertices.
A set of points on a plane such that they have a positive and constant absolute difference from its 2 fixed points is called a hyperbola.
The two separate curves of a hyperbola are called its branches. The point on each branch with a minimum distance from the focus is called the vertices of the hyperbola.
It is the midpoint between the vertice that is called the center.
Here, we can see that the center is marked by (h,k) while the left vertex is (h - a , k)and (h + a , k)
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HELP!
144/200 as a decimal and percent.
225/100 as a decimal and percent.
chloe answered 42 of the 50 questions correctly.Express this amont as a percent and a decimal.
Answer:
144/200 can be simplified to 72/100, which is equal to 0.72 or 72%
225/100 is equal to 2.25 or 225%
42/50 can be changed into 84/100 which would then be .84 or 84%
Step-by-step explanation:
If you give something a denominater of 100 then to find the decimal you just move the decimal place over 2 spots to the left, and it is just the numerator for the percent
As a town gets smaller, the population of its high school decreases by 7% each year. The senior class has 320 students now. In how many years will it have about 100 students? Write
an equation. Then solve the equation without graphing.
Write an equation to represent this situation. Let n be the number of years before the class will have 100 students.
(Type an equation using n as the vanable. Use integers or decimals for any numbers in the equation)
Help again please
Therefore, in about 15 years and 2 months, the senior class will have about 100 students.
What is equation?An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.
Given by the question.
Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).
Then, we can write the following equation to represent the situation:
P\((1-r)^{n}\) = 100
We know that the current population of the senior class is 320, so we can substitute these values into the equation:
320\((1-0.07)^{n}\) = 100
Simplifying the equation, we get:
\(0.93^{n}\) = 0.3125
Taking the natural logarithm of both sides, we get:
n ln (0.93) = ln (0.3125)
Dividing both sides by ln (0.93), we get:
n = ln (0.3125) / ln (0.93)
Using a calculator, we find that n is approximately equal to 15.21 years.
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Is (0,3), (0,7), (4,0) a function
Answer:
no because it has 2 of the same x-intercepts.
Step-by-step explanation:
On January 1st, 2017, your great uncle creates an account in your name and invests $20,000 in treasury bills. The nominal rate on the T-bills is 1.95% compounded every 73 days. Exactly 6 months later, your mother deposits $10,000 into an investment account, compounding continuously at 4% per year. What is the combined value of these two accounts on January 1st, 2019 ?
The combined value of the two accounts on January 1st, 2019, is approximately $31,642.05.
To solve this problem, we'll calculate the value of each investment separately and then combine them.
First, let's calculate the value of your great uncle's investment in treasury bills. The nominal rate of 1.95% compounded every 73 days can be converted to an effective rate per year using the formula:
Effective rate = (1 + (nominal rate / m)) ^ m - 1
Where "m" is the number of compounding periods per year. In this case, there are approximately 365 days in a year, so the number of compounding periods is:
m = 365 / 73 = 5
Effective rate = (1 + (0.0195 / 5)) ^ 5 - 1 = 0.0200
Now, let's calculate the value of the treasury bills investment after 2 years (from January 1st, 2017, to January 1st, 2019):
Value of treasury bills = $20,000 * (1 + 0.0200)^(2 * 365/73) = $20,000 * (1.0200)^(10) ≈ $20,825.40
Next, let's calculate the value of your mother's investment, which is compounding continuously at a rate of 4% per year:
Value of mother's investment = $10,000 * e^(0.04 * 2) ≈ $10,816.65
Finally, let's calculate the combined value of these two accounts:
Combined value = Value of treasury bills + Value of mother's investment
= $20,825.40 + $10,816.65 ≈ $31,642.05
Therefore, the combined value of the two accounts on January 1st, 2019, is approximately $31,642.05.
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help me pleaseeeeeeeeeeeee
Answer:
Step-by-step explanation:
1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.
2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.
So 5/4 x 1/2 is 5/8.
3. Lila will need 5/8 cups of raisins.
Which function could be represented by the graph on the coordinate plane? f(x) = (x – 8)2 6 f(x) = (x 8)2 6 f(x) = (x 8)2 – 6 f(x) = (x – 8)2 – 6
Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:
f(x) = (x - 8)² - 6.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence h = 8, k = -6 and considering a = 1 the equation is given as follows:
f(x) = (x - 8)² - 6.
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A manufacturer has a steady annual demand for 15,000 cases of sugar. It costs $10 to store 1 case for 1 year, $30 in set up cost to produce each batch, and $16 to produce each case. Find the number of cases per batch that should be produced to minimize cost.
The number of cases per batch that should be produced to minimize cost is: 300 units
How to find the economic order quantity?The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.
The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.
Thus:
Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)
Solving gives:
√((2 * 30 * 15000)/10)
= √90000
= 300 units
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compared to small samples, large samples have ___________ variability and thus will have a ___________ error from the population parameters.
Compared to small samples, large samples have less variability and thus will have a smaller error from the population parameters. Variability refers to the degree to which the data points in a sample differ from one another.
A small sample size may not accurately represent the population it was taken from, as it is subject to random variation. This random variation may lead to a large degree of variability in the sample, which in turn leads to a larger error from the population parameters.
On the other hand, large samples tend to have a more representative selection of individuals from the population. As a result, they tend to have less variability and a smaller error from the population parameters. This means that the estimates made from a large sample are likely to be more accurate than those made from a small sample. However, it is important to note that even with a large sample size, there may still be some degree of error due to other factors such as sampling bias or measurement error. Therefore, it is important to carefully consider the sample size and other factors when making statistical inferences about a population.
Compared to small samples, large samples have lower variability and thus will have a smaller error from the population parameters.
To explain further, a "sample" is a subset of a larger group, called the "population." When conducting research or analyzing data, researchers use samples to make inferences about the overall population. The characteristics of the population, such as the mean and standard deviation, are called "parameters."
When a sample is small, it is more susceptible to variability, which is the degree to which the data points in the sample differ from one another. High variability can lead to unreliable conclusions about the population parameters. A small sample may not be representative of the entire population, so the error, or difference between the sample estimate and the actual population parameter, can be larger.
On the other hand, large samples tend to have lower variability because they include more data points from the population, making them more representative of the overall group. This increased representation leads to a smaller error between the sample estimate and the actual population parameter.
In summary, using large samples is generally more advantageous because they provide lower variability and smaller errors, leading to more accurate estimates of population parameters.
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when Bart bought his car, it averaged 28 miles per gallon of gas now the car's average miles per gallon has decreased by 14%. what is the car's average mile per gallon now? round to nearest mile per gallon.
If the car originally averaged 28 miles per gallon, a 14% decrease would mean the car now gets:
28 - (0.14 * 28) = 24.08
Rounding to the nearest mile per gallon, we get the car's average miles per gallon now as 24.
What is gallon?A gallon is a unit of volume measurement in the US customary and imperial systems, equal to four quarts or 128 fluid ounces. It is commonly used to measure the volume of liquids such as gasoline, milk, and water.
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Which linear inequality is represented by the graph?
Please help!
Answer:
A. \(y\leq \frac{1}{2}x+2\)
Step-by-step explanation:
Well since it’s a solid line and it’s shaded down it should say \(y\leq\).
So we can cross out B and D.
And the slope by looking at the line is 1/2x.
So the answer is A.
Answer:
answer a
y ≤ 1/2x + 2
Step-by-step explanation:
the incline is 1/2
the intersect with y axis is at (0,2)
so the line is y = 1/2x + 2
By this answer alone we can exclude the answers c and d.
the intended area of the graph is below the line. Now you have found the right inequality, which is answer a.
is y ≤ 1/2x + 2
Describe the difference between the graphs you made by the Man walking slowly and those made by the Man walking more quickly
The graphs for the man walking slowly and walking quickly differ in various ways. Graphs are graphical representations of data that display how two variables relate to each other. Time is plotted on the x-axis, whereas the distance travelled by the man is plotted on the y-axis. A line graph is used to plot the data in each case.
The following are the differences between the graphs for the man walking slowly and quickly: Graphs for a man walking slowly: When the man walks slowly, the slope of the line graph is relatively gentle. In a given time interval, the man walks a shorter distance. As a result, the graph's slope will be less steep. The graph's slope increases as the man's pace slows down. Graphs for a man walking quickly:
When the man walks quickly, the slope of the line graph is steep. The man will walk a more extended distance in the same amount of time. As a result, the graph's slope will be more significant. The graph's slope will decrease as the man's pace increases.Based on the above information, we can conclude that the slope of the graph depends on how quickly or slowly the man walks. Therefore, the graphs for the man walking slowly and quickly differ in slope.
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Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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What is the range of the following data set? 60, 40, 35, 45, 39
Answer:
25
Step-by-step explanation:
35,39,40,45,60
60-35=25
Researchers want to see if playing with a specific toy increases the verbal abilities of young children. One group of children plays with the new toy for 4 hours a week for 4 weeks and is given a vocabulary test at the end of the experiment. The other group of matched pairs follows the same schedule, but these children play outside instead of with the toy. The children who play outside are the _____ group.
Answer:
Hence the children who play outside are the Control group.
Step-by-step explanation:
Researchers want to ascertain if twiddling with a selected toy increases the verbal abilities of young children. One group of youngsters plays with the new toy for 4 hours every week for 4 weeks and is given a vocabulary test at the top of the experiment. the opposite group of matched pairs follows an equivalent schedule, but these children play outside rather than with the toy. the children who play outside are the Control group.
Here the One group of children who plays with the toy is considered an experimental group.
help please and thank you
Step-by-step explanation:
False!
the correct equation should be ( x - 3)² + 2
3 units shifted to the right and 2 units upward.
also you can expand the equation to find the axis of symmetry to be sure. :)
What is the solution set to F(x)=x4+2? Using small values, form a list of ordered pairs.
Include all of your work in your final answer. Submit your solution.
Answer:
If you don't agree or there's an error, let me know so I can edit.
Step-by-step explanation:
f(x) = x⁴ + 2
differentiate
f(x) = 4x³ + 0 =0
x(4x²) = 0
at x= 0 f(x) = 0 points = (0,0)
at x= 1. f(x) = 3 points = (4,3)......
The ordered pair is (4,3).
What is ordered pair?An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.
Given:
f(x) = x⁴ + 2
Now, differentiate the above function for the small values
f(x) = 4x³ + 0 =0
x(4x²) = 0
When x= 0
f(x) = 0
So, the points = (0,0)
when x= 1
f(x) = 3
so, the points = (4,3).
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to be considered abnormal height a 20 year old must be 2.1 feet below average or 2.1 feet above average. if the average height is 5.8 feet, at what heights (in interval notation) would a 20 year old be considered abnormal?
A 20 year old has height below 3.7 feet and above 7.9 feet then 20 year old be considered abnormal.
The average height means that the given population determined by the interaction between the environment in which it lives and the resources it commands.
Abnormal means diffrent from what is normal or usual, in a way that worries you or that is unplesant.
We have given that average height is 5.8 feet.
And abnormal height a 20 year old must be 2.1 feet below average height or 2.1 feet above average height.
Therefore 5.8 - 2.1 = 3.7 feet
5.8 + 2.1 = 7.9 feet
Hence height below 3.7 feet abd above 7.9 feet is considered to be abnormal.
That means [-∞ , 3.7] and [7.9,∞] is considered to be abnormal height for 20 year old man.
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Round to the nearest ten thousand.
758,928
Answer:
760,000
Step-by-step explanation:
If km and np are parallel lines and m
Answer:
60 degrees
Step-by-step explanation:
For the holidays, Nicholas is driving to visit his grandparents who live 527 miles away. Nicholas's car gets 34 miles per gallon of gas when he is driving on the highway. In order to budget for his trip, Nicholas wants to know how much gas he will need.
Use an equation to find how much gas Nicholas needs for the drive.
Nicholas needs
gallons of gas.
in how many ways can first, second, and third prizes be awarded in a contest with 950 contestants? assume there are no ties.
There are 853,818,600 ways to award first, second, and third prizes in a contest with 950 contestants, assuming there are no ties.
To determine the number of ways to award first, second, and third prizes in a contest with 950 contestants, we can use the permutation formula:
P(n, r) = n! / (n - r)!
where n is the total number of contestants and r is the number of prizes to be awarded (in this case, 3).
Using this formula, we get:
P(950, 3) = 950! / (950 - 3)!
= 950! / 947!
= 950 × 949 × 948
= 853,818,600
Therefore, there are 853,818,600 ways to award first, second, and third prizes in a contest with 950 contestants, assuming there are no ties.
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Find the value of 5w+1 given that 7w-7=7.
Answer:
lets find the exact value of w
7w - 7 = 7
+7 +7
7w = 14
/7 /7
w = 2
Now let's replace w with 2
5(2) + 1 = 11
Which of the following correctly identifies the dependent variable and the independent variable for the experiment?
The correct identification of the dependent variable and the independent variable for the experiment is valid experiment.
Independent variable: The variable that is being changed or manipulated in an experiment is called the independent variable. The experimenter modifies the independent variable to observe its effect on the dependent variable.
Dependent variable: The dependent variable is the variable that is being measured and observed in an experiment. It is dependent on the independent variable because it changes as a result of the manipulation of the independent variable.
Therefore, To carry out a valid experiment, it is crucial to accurately identify the dependent variable and independent variable.
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If 180° ≤ ≤ 270 and S(A) = −4 then determine the exact values of cos(A) and tan(A)
Recall the definition of the sine of an angle on a right triangle:
\(\sin (A)=\frac{a}{c}\)On the other hand, according to this diagram, the values for tan(A) and cos(A) are given by:
\(\begin{gathered} \cos (A)=\frac{b}{c} \\ \tan (A)=\frac{a}{b} \end{gathered}\)Since 180≤A≤270, the right triangle that corresponds to the angle A on the coordinate plane looks as follows:
Where a and b are negative distances.
Since sin(A)=-4/7, we can assume that a=-4 and c=7. Use the Pythagorean Theorem to find the exact value of b:
\(\begin{gathered} a^2+b^2=c^2 \\ \Rightarrow(-4)^2+b^2=7^2 \\ \Rightarrow16+b^2=49 \\ \Rightarrow b^2=49-16 \\ \Rightarrow b^2=33 \\ \Rightarrow|b|=\sqrt[]{33} \end{gathered}\)We know that b should be negative. Then:
\(b=-\sqrt[]{33}\)Substitute b=-sqrt(33) and c=7 to find the exact values for cos(A) and tan(A):
\(\begin{gathered} \cos (A)=-\frac{\sqrt[]{33}}{7} \\ \tan (A)=\frac{-4}{-\sqrt[]{33}}=\frac{4\cdot\sqrt[]{33}}{33} \end{gathered}\)Therefore, the exact values for cos(A) and tan(A) are:
\(\begin{gathered} \cos (A)=-\frac{\sqrt[]{33}}{7} \\ \tan (A)=\frac{4\cdot\sqrt[]{33}}{33} \end{gathered}\)
What is the slope of (-9,4) (-12,8)?
Answer: -5/3
Step-by-step explanation:
Answer: m = -4/3
Step-by-step explanation:
If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .
You observe the following condition: ""Our female sales representatives have lower customer defections than do our male sales representatives."" a) Propose the concepts and constructs you might use to study this phenomenon. b) How might any of these concepts and/or constructs be related to explanatory hypotheses?
The study aims to examine the relationship between gender, sales performance, and customer defection by proposing concepts and constructs such as gender, sales performance, and customer defection and exploring explanatory hypotheses.
a) To study this phenomenon, the following concepts and constructs could be used: gender, sales performance, and customer defection. Gender can be defined as the biological differences between males and females.
b) These concepts and constructs can be related to explanatory hypotheses such as:
Female sales representatives might have better communication skills than male sales representatives, leading to lower customer defections.Male sales representatives might be more aggressive in their sales approach, causing customers to feel pressured and leading to higher customer defections.There might be a gender bias in the way customers are treated, leading to lower customer defections among female sales representatives.Learn more about the sales representatives at
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Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ADEF= AKLM?
Check all that apply.
AA
O A. LA
ОВ. НА
O C. AAS
D. SAS
E HL
F.LL
=================================================
Explanation:
LA stands for Leg Angle. More specifically, the angle is an acute angle. This theorem only works for right triangles. We see that ED = LK which is one pair of congruent leg segments. So that takes care of the L part of LA. However, we don't know anything about the acute angles. We don't know if angle E = angle L, or if angle F = angle M, or something along those lines. We need angle markers to tell us or not.
In short, we only have half the info needed for LA, so we must cross choice A off the list.
----------------
HA stands for hypotenuse angle, or hypotenuse acute angle, and this rule only applies for right triangles. We don't know anything about the hypotenuse lengths if they are the same or not.
Similar to choice A, we don't know anything about the acute angles either.
Those two facts mean we must cross off choice B.
----------------
AAS stands for Angle Angle Side. The order is important because the side is not between the angles. The diagram only shows one pair of angles that are congruent to one another. That pair being the 90 degree angles indicated with the square marker. We don't have another pair of angles, so we cannot use AAS.
Cross choice C off the list.
-----------------
We can use SAS because we have two pairs of congruent sides and one pair of congruent angles.
The congruent sides are
ED = LK (double tickmarks)DF = KM (single tickmarks)That takes care of the two "S"s of "SAS". The "A" would be those two right angles which are congruent to one another. The angles are between the congruent sides which is important. Recall that SSA is not a valid congruence theorem.
So that's why choice D is the only answer.
-----------------
Side note: We could use the LL theorem, where L stands for leg, since we are given two pairs of congruent legs for each triangle. Like LA and HA, this only applies to right triangles. LL is a special case of SAS. However, LL isn't listed so we'll just be sticking with SAS as the only answer.