Answer:
67 is Prime.
Step-by-step explanation:
It is a prime number because it only had 2 factors. 1 and 67. No other numbers can be multiplied to get this number.
Susan has two jobs and can work no more than 28 total hours per week. If she earns
$8.50 per hour as a cashier and $10.00 per hour as a florist and she needs to earn at
least $160 for the week, how many hours does she need to work at each job? Write a
system of inequalities that could represent this situation.
The system of inequalities is,
The total hours will be X+Y≤4.
The total amount she can earn 8.5X + 10Y ≤ 22.85.
First let us assume that she work 7 days in the week.
If she works for 28 hours a week, Then the hours of work done by her in a day will be,
28hours/7days
Per day working hours are 4 hours per day.
now, if she has to earn at least 160$ a week. Then, the amount she has to earn in one day will be 160$/7days,
Amount needed to be earned in one day is 22.85$,
Now, if she work for X hours as cashier, then she can work Y hours as florist.
The total hours for which she can can be represented by,
X+Y≤4
The amount she will earn in one day can be represented by the inequality,
8.5X + 10Y ≤ 22.85.
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The five number summary of a dataset was found to be:
45, 50, 57, 65, 70
The range of the numbers from the data set is 25
How to calculate the values?From the information, the five number summary of a dataset was found to be 45, 50, 57, 65, 70.
It should be noted that range is the difference between the highest and the lowest number.
Highest number = 70
Lowest number = 45
Range = 70 - 45 = 25
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The five number summary of a dataset was found to be:
45, 50, 57, 65, 70
Find the range.
15
Simplify 2√243x completely. Write answer in radical form. Assume => 0.
Answer =
Entry Tip: To enter an answer like 50x52², type 50x*root(3)(5x^2). Preview your answer
before submitting!
We need to know about radical form of a number to solve the question. The simplified version of 2[tex]\sqrt{243}[/tex]x is 18[tex]\sqrt{3}[/tex]x.
Radical form of a number is the simplified version of the number where there is no square root or third root or fourth left of the number.If there is a square root of a number present then we have to simplify it and break it down to a square root from where no other natural number root can be found.In this question we have a number 2[tex]\sqrt{243}[/tex]x, we have to simplify [tex]\sqrt{243}[/tex] so we get the radical form of the number and we assume that x>=0. We can write 243 as 9x9x3, so we can see that for the square root of 243 we can write 9[tex]\sqrt{3}[/tex]. So the number 2[tex]\sqrt{243}[/tex]x can be written as 2x9[tex]\sqrt{3}[/tex]x=18[tex]\sqrt{3}[/tex]x.
Therefore we got the radical form of 2[tex]\sqrt{243}[/tex]x to be 18[tex]\sqrt{3}[/tex]x.
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micheal launches a rocket straight up into the air. the table below gives the height H(t) of the rocket (in meters) at a few times t (in seconds) during its flight.
(a) The average rate of change for the height from 0 seconds to 4.6 seconds is 30 meters per second.
(b) The average rate of change for the height from 9.2 seconds to 11.5 seconds is -10 meters per second.
The height at 0 seconds is 0 meters.The height at 2.3 seconds is 92 meters.The height at 4.6 seconds is 138 meters.The height at 9.2 seconds is 23 meters.The height at 11.5 seconds is 0 meters.(a) The average rate of change for the height from 0 seconds to 4.6 seconds is equal to the ratio of the change in height for the given time and the time difference.The average rate of change for the height from 0 seconds to 4.6 seconds is (138-0)/(4.6-0).The average rate of change for the height from 0 seconds to 4.6 seconds is 30 meters per second.(b) The average rate of change for the height from 9.2 seconds to 11.5 seconds is equal to the ratio of the change in height for the given time and the time difference.The average rate of change for the height from 9.2 seconds to 11.5 seconds is (0-23)/(11.5-9.2).The average rate of change for the height from 9.2 seconds to 11.5 seconds is -10 meters per second.To learn more about average, visit :
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PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!
The equation of the linear least-squares regression line is given by:
[tex]\sqrt[3]{\text{Volume}} = -0.006 + 0.64(\text{Time})[/tex]
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For this problem, we have that:
The input is the time.The output is the cube root of the volume.From the table, we get that:
The intercept is the constant, of -0.006.The slope is the coefficient of 0.64.Water is being poured into the cone, hence the volume is increasing and the slope is positive. The equation will be given by:
[tex]\sqrt[3]{\text{Volume}} = -0.006 + 0.64(\text{Time})[/tex]
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Inventory accounting can often be used for unethical or fraudulent behavior. Discuss the accounting principles and practices as they relate to inventory, and list one or more way(s) that fraudulent activity can take place
One way to reduce the risk of fraudulent activity is to assign two persons to check the inventory.
Accounting principles lay out the basic guidelines and ideas and create the foundation upon which specific accounting standards are built.
Inventory-related accounting principles and procedures might be applied unethically. For instance, many teachers in my field who are required to gather and check-in inventory do so while keeping the inventory for themselves. Having two persons check off the inventory is one method to lower the risk.
Accounting fraud is the illegal modification of a company's financial statements in an effort to hide earnings or losses or to manipulate the company's appearance of health. Accounting fraud can be committed in a variety of ways, including overstating revenue, failing to record expenses, and misrepresenting assets and liabilities.
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The complete question is mentioned below:
Inventory accounting can often be used for unethical or fraudulent behavior. discuss the accounting principles and practices as they relate to inventory, and list one or more way(s) that fraudulent activity can take place. be as detailed as possible, and if appropriate, include a personal experience you have encountered. next, discuss at least one way to reduce the risk of fraudulent practices such as this from taking place in a business.
Write the function whose graph is the graph of y=x^2, but is translated 3 units to the left
Answer:
[tex]f(x) = x^2 + 6x+9[/tex]
Step-by-step explanation:
[tex]y=(x+3)^2 = x^2 + 6x+9[/tex]
A function is defined by f(x) = (x + 2)/x, where x * 0. Find f-¹(x)
The value of f-¹(x) for the function f(x) = (x + 2)/x is y = 2/(x-1).
The inverse of a function f is denoted by f-¹ and it exists only when f is both one-one and onto function. An inverse function in mathematics is function which "reverses" the another function.
For example, If function f which is applied to input a gives result b and then applying inverse of the function g to b, it gives result a and vice versa.
It can be written as:
f(a) = b if and only if g(b) = a or, f⁻¹ (b) = a
In order to calculate the inverse of function f(x) = (x + 2)/x just simply swap the x and y, and solve the resulting equation for the x.
So, we have f(x) = (x + 2)/x, swap the variable x by y, we get
f(x) = (y + 2)/y ............(1)
Now, solving the above equation x = y+2/y for y.
⇒y = 2/(x-1)
∴ The value of f-¹(x) for the function f(x) = (x + 2)/x is y = 2/(x-1).
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Given: 0= 51°
opposite = 15
Find: sin 0 =
Answer:
Given: Ø = 51°
opposite = 15
Find: sin Ø =
It doesn't matter what else you throw into the picture,
if Ø = 51° then sin Ø always equals 0.7771
Daisy walks 1.13 miles on each trip to the park. How far will Daisy walk if she makes 6.5 trips to the park?
I got this question wrong twice - can someone help me?
I have the answer but I don’t understand how they got it - can someone explain it to me step by step?
(Showing the working step by step works too)
Thanks!!
Answer:
137.54
Step-by-step explanation:
The area of the figure is the total area of the right triangle (on the left) and the rectangle (on the right)
Area of the right triangle = 1/2(9.2)(6.9) = 31.74
Are of the rectangle = (9.2)(11.5) = 105.8
The total area = 31.74 + 105.8 = 137.54
I hop this helps
How many Arithmetic means must be inserted between 1 and 36 so that the
sum of the resulting arithmetic progression shall be 148 ?
The Arithmetic means will be inserted between 1 and 36 such that the
sum of the resultant arithmetic progression will be 148 is 8.
What is defined as arithmetic progression?The distinction between the 2 arithmetic orders is a constant value in Arithmetic Progression (AP). Another name for it is Arithmetic Sequence.
We'd arrive along all a few key words in AP, which were denoted as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)The AP can also be defined in terms of common distinctions, as illustrated below.
The method of calculating an AP's n-th term is as follows: an = a + (n − 1) × dThe following is the arithmetic progression sum: Sn = n/2[2a + (n − 1) × d].Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.Now, for the stated question;
Assume the first term is'a₁' = 1.
The last term of the series that is nth term is 'a₃₆'.
The sum of all digits between 1 and 36 is given as 148.
Thus, Sn = 148
Substitute the value in the sum formula.
Sn = (n/2)×(a₁ + a₃₆)
148 = (n/2)×(1 + 36)
148 = (n/2)×(37)
n = (148×2)/37
n = 8.
Thus, the total number of Arithmetic means that can be inserted between 1 and 36 is 8.
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three less than the sum of x and y
Answer:
X+Y-3
Step-by-step explanation:
I don’t know what X/Y is, but “three less than” means you need to subtract 3 from the sum of X+Y
Prove that (1+cosα)(1-secα)=-sinα tanα
We need to prove
(1 + cos a)(1 - sec a) = -sin a tan a
LHS
= (1 + cos a)(1 - sec a)
= 1 -sec a + cos a - cos a sec a
= 1 - sec a + cos a - cos a (1/cos a)
= 1 - sec a + cos a - 1
= cos a - sec a
= cos a - 1/cos a
= [tex]\frac{cos^{2}a - 1}{cos a}[/tex]
We know that [tex]sin^{2}a+ cos^{2}a = 1[/tex],
Then [tex]1 - cos^{2}a = sin^{2} a[/tex]
[tex]cos^{2}a - 1 = -sin^{2}a[/tex]
= [tex]-\frac{sin^2a}{cos a}[/tex]
= [tex]-\frac{(sina)(sina)}{cosa}[/tex]
=[tex]- (sin a)(\frac{sin a}{cosa} )[/tex]
We know that tan a = sin a / cos a
= - sin a tan a
= RHS
LHS = RHS
Hence Proved
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A jar contains 100 marbles. There are 21 blue marbles, 19 green marbles, 37 red marbles, and 23 yellow marbles. What is the probability of randomly selecting a yellow marble? Enter the correct answer
The probability of getting yellow marbles is 0.23.
What is probability?Probability is the measure of the likelihood that an event will occur in a Random Experiment.
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
Total marbles= 100
blue marbles = 21
green marbles= 19
red marbles = 37
yellow marbles= 23
So, the probability of randomly selecting a yellow marble
= 23/100
= 0.23
Hence, the probability of randomly selecting a yellow marble is 0.23.
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ight gang whats the measure of n
The measure of side n is √(m^2 - 64).
According to the given question.
We have a right angle triangle.
Here, we have to find the measure n.
Since, the given triangle is divided into two right angle triangles.
Now in the right angled triangle with the side measure m, n and 8.
By the Pythagoras theorem we can say that
m^2 = 8^2 + n^2
⇒ m^2 = 64 + n^2
⇒ m^2 -64 = n^2 ...(i)
⇒ n = √(m^2 - 64)
Hence, the measure of side n is √(m^2 - 64).
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I have a height of a shadow that is 523 in the height of myself and my shadow 64 in and 180 in i need to cross multiply to find out what the height of the tree is
The height of the tree is 186 inches if Shadow of tree is 523 inch shadow of human is 180 inch height of human is 64 inch.
What is cross multiplication?Cross multiplication occurs when the numerator of the first fraction is multiplied by the denominator of the second fraction, and the numerator of the second fraction is multiplied by the denominator of the first fraction.
We have given information that
Shadow of tree = 523 inch
Shadow of human = 180 inch
Height of human = 64 inch
height of tree = x
Lets solve this with cross multiplication
⇒ [tex]\frac{64}{180} = \frac{x}{523}[/tex]
⇒ 180 × x = 64 × 523
⇒ x = (64 × 523)/180
⇒ x = 185.95
= 186 approx.
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What is the value of x?
1. 20
2. 17
3. 28
4. 36
lesson 8.2 HELPPPPPPP!!!!!
Find the measure of the arc or angle indicated.
Applying the inscribed angle theorem, we have:
1. Measure of inscribed angle EDF = 53°
2. m<DCB = 92°
3. m<VWS = 37°
How to Apply the Inscribed Angle Theorem?In a circle, the measure of an inscribed angle is equal to half of the measure of the measure of the intercepted arc, based on the inscribed angle theorem. In order words, the measure of the intercepted arc in a circle, is always twice the measure of the inscribed angle in the circle.
1. Measure of intercepted arc EF = 106° [given]
Measure of inscribed angle EDF = 1/2(measure of arc EF) [inscribed angle theorem]
Substitute
Measure of inscribed angle EDF = 1/2(106)
Measure of inscribed angle EDF = 53°
2. m<DCB + m<DQB = 180° [opposite angles of a cyclic quadrilateral add up to 180 degrees]
Substitute
m<DCB + 88 = 180
m<DCB + 88 - 88 = 180 - 88
m<DCB = 92°
3. m<VWS = 1/2(measure of arc VS) [inscribed angle theorem]
Substitute
m<VWS = 1/2(74)
m<VWS = 37°
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Bella needs to order some new supplies for the restaurant where she works. The restaurant needs at least 503 glasses. There are currently 295 glasses. If each set on sale contains 10 glasses, which inequality can be used to determine ss, the minimum number of sets of glasses Bella should buy?
The inequality that can be used to determine the minimum number of sets of glasses Bella bought is x ≥ 20.8.
How to use inequality to represent a situation?She needs to order some new supplies for the restaurant where she works.
The restaurant needs at least 503 glasses.
Each set on sale contains 10 glasses.
The inequality that can be used to determine the minimum number of sets of glasses Bella bought is as follows:
Therefore,
x = number of sets
Hence,
295 + 10x ≥ 503
10x ≥ 503 - 295
10x ≥ 208
x ≥ 208 / 10
x ≥ 20.8
Therefore, the inequality that can be used to determine the minimum number of sets of glasses Bella bought is x ≥ 20.8.
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7. The supply and demand curves for a new widget are shown in the
graph. Notice there are two demand curves. The original demand
curve is d. Months after the product was introduced, there was
a possible health concern over use of the product, and demand
dropped to the new demand cürve, d. The movement of the
demand curve is called a shift
Based on the demand curves and the movement of the demand curve, the equilibrium price before the demand shift is b and the equilibrium quantity before the demand shift was e.
What was the equilibrum price?The equilibrium price refers to the price at the point where the supply and demand curves meet on the graph.
Before the shift in demand, the equilibrium price was at Price b which was the intersection between demand curve d1 and the Supply curve.
The equilibrium quantity was the quantity at this equilibrium price and this was Quantity e.
Rest of the question is:
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Which graph is a parabola?
Answer:
The third one from the left
Step-by-step explanation:
I NEED THIS ANSWER FAST PLEASE!!
I will give 100 points
Answer: -4/15 (x - 15)
Step-by-step explanation: Got it from quick math
Can you solve?
John is told to find 3 specific marbles within a box of 60 marbles. The room is dark and he can’t see the marbles properly. He pours out 20 of these marbles, and blindly chooses 3 of them.
What are the chances he chooses the 3 specific marbles he was told to find?
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Answer:
1/20 are the chances to find the specific marble
Step-by-step explanation:
if he randomly gets 3 out of the 20 marbles then the chances are not high
I hope that helped u
Please help me I will give brainliest
Can someone help me with this question?
Answer:
1. 740 students
2. 4 years
3. 185 students per year
4. 357 students
5. 185t+357
6. 3132 students
Work:
1. 1837 - 1097 = 740
2. 2008 - 2004 = 4
3. (1837 - 1097) / (2008 - 2004) = 185
4. 185(0) + 357 = 357
5. 185t + 357
6. 185(15) + 357 = 3132
(8 + 7) (6-√(-81) alguien me ayuda por favor
Answer:
45 (-3 i + 2)
Step-by-step explanation:
Simplify the following:
(8 + 7) (-sqrt(-81) + 6)
Hint: | Evaluate 8 + 7.
8 + 7 = 15:
15 (-sqrt(-81) + 6)
Hint: | Express sqrt(-81) in terms of i.
sqrt(-81) = sqrt(-1) sqrt(81) = i sqrt(81):
15 (6 - i sqrt(81))
Hint: | Factor common terms from -(i sqrt(81)) + 6.
Factor 3 out of 6 - 9 i giving 3 (2 - 3 i):
15×(3 (-3 i + 2))
Hint: | Multiply 15 and 3 together.
15×3 = 45:
Answer: 45 (-3 i + 2)
may you pls help me i do not know how to do it
Answer: 118
Step-by-step explanation:
The two figures' angles are identical so the angles would have the same measurements
Which of the following points lie on the line whose equation is y - 4=3/5(x+1)?
(9, 10)
(4,8)
(-1,0)
(1,5)
(-6, -1)
[tex]y-y_{1} = m (x-x_{1})[/tex]
is the linear equation format for point slope here
(-1, 0) would lie on the line
what is the prescribed dosage of a certain medicine for a 6 year old child if the adult dosage of the medicine is 180 milligrams?
Answer: C= 60 milligrams
Step-by-step explanation:
apply the formula
C = Divide[a,\(40)a+2\(41)]A