find the value of 36 to the power of 5/2
Answer:
7776
Step-by-step explanation:
you divide 5 by 2 to get 2.5 then put 36 to the power of 2.5 to get 7,776
The cookie factory has a fixed cost of $300 per month plus $0.45 for each cookie sold. Each cookie sells for $0.95. How many cookies must be sold during one month for the profit to be at least $100?
The factory must sell at least 667 cookies per month to make a profit of at least $100.
The cost to produce each cookie is $0.50 (fixed cost of $300 + $0.45 per cookie). To make a profit of at least $100, the total revenue must be greater than the total cost of producing the cookies. We can express this as:
Revenue > Cost
(0.95)(x) > 0.50x + 300
We can solve for x by subtracting 0.50x from both sides, and then subtracting 300 from both sides:
0.45x > 300
0.45x/0.45 > 300/0.45
x > 666.67
Therefore, the factory must sell at least 667 cookies per month to make a profit of at least $100.
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10 - 9x(-6) Evaluate the following expression
Answer:
\(→10 - 9x( - 6) \\= 10 - (9)( - 6)x \\= 10 + 54x \\= \boxed{ 54x + 10}✓\)
(54x+10) is the right answer.Step-by-step explanation:
10 - 9x(-6)
10 + 54x
54x = -10
x = -10/-54
x = 10/54
x = 5/27 ✓✓✓
PLEASE HELP!! find the slope of the graph asap!
Answer: I do not understand
Step-by-step explanation:
Determine each length in right triangle ABC.
.
Right triangle ABC with right angle at vertex B. Point D lies on side AC. A dashed segment BD is drawn. Angles BAD and BCD both measure 45 degrees. Angle ADB is a right angle. Segments AD and CD both are labeled 8.
In right triangle ABC, side AB is 8 units and BC is 8 units.
What is a right triangle?A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.
Given that, ∠BAD=∠BCD=45°
By using angle sum property of triangle in triangle ABD,
We get ∠ABD=45°
By using angle sum property of triangle in triangle BCD,
∠CBD=45°
So, AB = 8 units and BC= 8 units
Therefore, in right triangle ABC, side AB is 8 units and BC is 8 units.
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grace read 1/3 of a book in the morning some at night and by the end of the day she still had 2/5 left how much did she read at night
Grace read 5/15 of the book during the day, so she read 10/15 of the book at night can use the following equation: 1/3 + x = 10/15
Grace read 1/3 of the book in the morning, and by the end of the day she still had 2/5 of the book left. To calculate how much she read at night, we can use the following equation: 1/3 + x = 10/15, where x represents the amount of the book she read at night. Solving for x, we get x = 5/15. This means that Grace read 5/15 of the book during the day and 10/15 of the book at night. To put this into context, if the book was 300 pages long, she would have read 100 pages in the morning and 200 pages at night. This equation shows that it is important to use fractions when solving these types of problems. Fractions allow us to easily calculate the amount of something that has been used or read. Without fractions, it would be much more difficult to solve these types of problems.
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You have a deck of cards. You pull 2 cards. What is the probability of pulling a red
card or a king with replacement.
a. 15/26
b. 0
c. 7/13
Answer:
7/13
Step-by-step explanation:
i just took the quiz
for how many pairs of consecutive integers in is no carrying required when the two integers are added?
The number of pairs of consecutive integers in is no carrying required when the two integers are added are 156.
How we make the pairs of consecutive integers?At the point when the last 3 digits of the continuous numbers are _999 and _000. Just conceivable case-1999, 2000
At the point when the last 2 digits of the continuous numbers are _ _ 9 9 and _ _ 0 0. Potential cases-5 (Comparing to (0,1) (1,2) (2,3) (3,4) (4,5) in the 100th spot)
At the point when the last digit of the successive numbers is of the structure _ _ _ 9 and _ _ _ 0. Potential Cases-5*5 = 25
At the point when none is of that structure. Potential cases-5*5*5 = 125
Reply = 125+25+5+1 = 156
Thus,there are 156 ways to make the pairs of the consecutive integers.
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A laboratory test for the detection of a certain disease gives a positive result 5 percent of the time for people who do not have the disease. The test gives negative results 0.3 percent of the time for people who have the disease.
Large-scale studies have shown that the disease occurs in about 2 percent of the population. What is the probability that a person selected at random would test positive for this disease?
Note that the probability that a person selected at random would test positive for this disease is 0.06894.
What is the rationale for the above answer?
We are given that the detection of a certain disease gives a positive result 5 percent of the time for people who do not have the disease.
This means:
P(positive results | do not have disease) = 0.05
We also know that the test gives a negative result 0.3 percent of the time for people who have the disease. What this means is that the test gives a positive result 99.7 percent of the time for people who have the disease.
Thus,
P(positive results | have disease) = 0.997;
Then, we know that
large-scale studies have shown that the disease occurs in about 2 percent of the population. That is P(have disease) = 0.02, P(do not have disease) = 0.98
Thus, the probability that a person selected randomly would test positive is:
P(positive results) = P( Positive results ∩ have disease) + P(Positive results ∩ do not have disease)
= P(have disease) P (Positve results | have disease) + P(do not have disease) P(Positive results) | do not have disease)
= (0.02 x 0.0997) + (0.98 x 0.05)
= 0.06894
Thus, it is right to state that the likelihood that a person selected at random would test positive for this disease is 0.06894.
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Sally owns an I cream store. Each ice cream scoop contains 2/3 cups of Ice cream. Each container of Ice cream holds 80 cups. If sally sells Ice cream for $3 per scoop, how much she earn each container of ice cream
Answer:
360$
Step-by-step explanation:
Last week, the price of almonds was $8.95 per pound. This week, almonds at the same store were on sale at a 15% discount. What is the total price of 2½ pounds of almonds this week at the store? *
Answer:
$19.02
Step-by-step explanation:
15% of 8.95 = 1.3425
one pound = 8.95 = 1.34 = 7. 61
half a pound = 3.805
7.61 + 7.61 + 3.8 = 19.02
Answer:
$19.02
Step-by-step explanation:
is the correct answer
what is the summary of a test procedure that lists the sources of variation, sum of squares, degrees of freedom, mean square and test statistic?
The summary of a test procedure that lists the sources of variation, sum of squares, degrees of freedom, mean square, and test statistic is called an ANOVA (Analysis of Variance) table. It is used to analyze the differences between two or more groups or treatments and to determine whether the differences are statistically significant.
The ANOVA table typically includes the following components:
1. Source of variation: This column lists the different sources of variation that contribute to the overall variation in the data. For example, in a one-way ANOVA, this might include the between-group variation and the within-group variation.
2. Sum of squares (SS): This column lists the sum of squared deviations from the mean for each source of variation.
3. Degrees of freedom (df): This column lists the degrees of freedom associated with each source of variation. Degrees of freedom are used to calculate the mean square (MS) and test statistic.
4. Mean square (MS): This column lists the sum of squares divided by the degrees of freedom for each source of variation.
5. Test statistic (F): This column lists the test statistic for each source of variation, which is the ratio of the mean square for that source of variation to the mean square for the residual variation.
The ANOVA table is used to calculate the F-statistic and determine whether the differences between the groups or treatments are statistically significant. If the F-statistic is greater than the critical value at a given level of significance, we can reject the null hypothesis and conclude that there is a significant difference between the groups or treatments.
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which of the following calculations multiplies 23 by 0.01? =23% =23 =23+.01 =24-.01
The correct calculation that multiplies 23 by 0.01 is 23 * 0.01. This will give you the ans.23.0
1. 23%: This represents 23 percent of a whole. To convert a percentage to a decimal, you divide it by 100. So, 23% is equal to 0.23. This is not the correct calculation.
2. 23: This is simply the number 23 without any multiplication or division. This is not the correct calculation.
3. 23 + 0.01: This equation adds 23 and 0.01 together. The result is 23.01. This is not the correct calculation.
4. 24 - 0.01: This equation subtracts 0.01 from 24. The result is 23.99. This is not the correct calculation.
In summary, to multiply 23 by 0.01, you would use the equation 23 * 0.01, which equals 0.23.
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Which proportion could be used to solve
the following problem?
A recipe for sesame chicken calls for
cup of chopped carrots. If the recipe
2
is for 4 servings, how many cups of
carrots are needed for 9 servings?
Answer:
Cups of carrot needed for 9 servings = 4.5 cups
Step-by-step explanation:
A recipe for sesame chicken calls for cup of chopped carrots
recipe 2 is for 4 servings
That is
2 cups of carrot = 4 servings
2 : 4
= 1 : 2
1 cup of carrot = 2 servings
how many cups of
carrots are needed for 9 servings?
Let x= number of carrot needed for 9 servings
1 : 2 = x : 9
1 /2 = x/ 9
Cross product
1*9 = 2*x
9=2x
Divide both sides by 2
9/2 = x
x= 4.5 Or 4 1/2
Please answer ASAP!!!
Answer:
3.5?
Step-by-step explanation:
Since AB is 7 find half of that to get BD
YES OR NO
PLEASE HELP MEE THANK YOUUU
Answer:
yes
Step-by-step explanation:
Answer:
yes !!!!!!
Step-by-step explanation:
i did this last week haha
5. Write the negation of each of the following statements:
a. R: Ron went to school.
b. S: A triangle has 3 sides.
c. T: x=9
d. U: 20 is a multiple of 3.
The negation of the following statements are a. R: Ron did not go to school. b. S: A triangle does not have 3 sides. c. T: x ≠ 9 d. U: 20 is not a multiple of 3.
What is negation?It's vital to know the opposite of a particular mathematical statement from time to time in mathematics. This practice is known as "negating" a claim. Remember that if a claim is true, then the negation must be false.
The negation of the following statements is:
a. R: Ron did not go to school.
b. S: A triangle does not have 3 sides.
c. T: x ≠ 9
d. U: 20 is not a multiple of 3.
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The Perez family is researching the cost of keeping their dog at a kennel during an upcoming vacation. The local kennel allows “Silver” families to pay a rate of $36 per day. For a fee, families can buy a “Gold” membership and will be allowed to board their dogs at a discounted rate as shown in the table.
What is the cost of a Gold membership?
$20
$34
$50
$70
Answer:
The answer would be $50
Answer:
50
Step-by-step explanation:
your welcome
f(x) = x2. What is g(x)?
5
[ f(x)
g(x)
(3,3)
X
-5
5
x2
O A. g(x)=1
-02-G
B.
X
O c. g(x) = 3²
O D. g(x)=-* x2
Please help :/
The function g(x) = x²/3
Given that graph of the function f(x) = x²,
Since, the graph of f(x) is transformed to form the g(x).
We see that g(x) is passing by (3, 3)
Here, the scale factor is 1/3,
So, we can say that the equation of the function g(x) is g(x) = x²/3
Therefore, the required function is g(x) = x²/3
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Two plans for reaching a goal are given below. Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7. 20 per hour. Plan B: Save $450 over the next 6 weeks by working 15 hours per week at $6. 50 per hour. Which of the following is a true statement? a. Only plan A will work for achieving the goal. B. Only plan B will work for achieving the goal. C. Both plans will work for achieving the goal. D. Neither plan will work for achieving the goal.
Answer:
C, both plans will work for achieving the goal.
Step-by-step explanation:
For plan A, you must multiply 7.20 by 9, then multiply the product by 8. The answer is 526.4 This means that plan A will work, and more than the original goal will be saved up.
For plan B, you must multiply 6.50 by 15, then multiply the product by 6. The answer is 585. This is more than the original goal, so plan B would work as well.
This means that C is correct, because both plans will work for achieving the goal.
Answer:
C
Step-by-step explanation:
Edged 2022
A population of squirrels is growing in a Louisiana forest with a monthly growth constant of 55 percent. If the initial count is 100100 squirrels, how many are there in a year? Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to the nearest whole number.
The population of squirrels in the Louisiana forest growing monthly at a rate of 5% currently from 100, will be 182 after a year.
The final value of any quantity growing constantly at a particular rate is given as \(V = V_{0}e^{rt}\) ,
where V is the final value, V₀ is the initial value, r is the rate of growth per time period, and t is the number of time periods.
The current population of squirrels (V₀) = 100.
The growth rate (r) = 5% per month.
The time period (t) = 1 year = 12 months.
Hence, the final population of squirrels (V), is given as:
\(V = V_{0}e^{rt}\) ,
or, \(V = 100e^{(0.05*12)}\) ,
or, \(V = 100e^{0.60}\) ,
or, V = 100*1.822119,
or, V = 182.2119 ≈ 182.
Therefore, the population of squirrels in the Louisiana forest growing monthly at a rate of 5% currently from 100, will be 182 after a year.
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write an anonymous function to compute the euclidean distance given two points (x1, y1) and (x2, y2). use the following equation to calculate the distance.
The anonymous function to compute the euclidean distance given two points (x1, y1) and (x2, y2) is ``python
euclidean_distance = lambda x1, y1, x2, y2: ((x2 - x1)**2 + (y2 - y1)**2)**0.5.
To compute the Euclidean distance given two points (x1, y1) and (x2, y2). Here's the step-by-step explanation using the Euclidean distance equation:
1. Recall the Euclidean distance equation: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
2. Use an anonymous function, which is a function without a name, typically represented using the "lambda" keyword in programming languages like Python.
3. Define the function parameters as the coordinates of the two points: (x1, y1) and (x2, y2).
4. Implement the Euclidean distance equation inside the anonymous function.
Here's an example using Python:
```python
euclidean_distance = lambda x1, y1, x2, y2: ((x2 - x1)**2 + (y2 - y1)**2)**0.5
```
Now you can use this anonymous function to compute the Euclidean distance between any two points (x1, y1) and (x2, y2) by calling it with the appropriate arguments:
```python
distance = euclidean_distance(1, 2, 4, 6)
print(distance) # Output: 5.0
```
This example demonstrates how to write an anonymous function to compute the Euclidean distance given two points (x1, y1) and (x2, y2).
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Provide a natural deduction please.
Premise 1: ((P v Q) > ~S)
Premise 2: P
Premise 3: (R v S)
Conclusion: R
Using natural deduction, we can conclude that R is true based on the given premises. The premises state that if either P or Q is true, then ~S is true, P is true, and R or S is true. From these premises, we can infer that R must be true.
1. ((P v Q) > ~S) (Premise)
2. P (Premise)
3. (R v S) (Premise)
4. P v Q (Disjunction Introduction: 2)
5. ~S (Modus Ponens: 1, 4)
6. R v S (Disjunction Elimination: 3)
7. R (Disjunctive Syllogism: 6, 5)
Therefore, we can conclude that R is true based on the given premises and the applied rules of natural deduction.
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Please helpppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
Here you go :)
Hey, don't sweat it, this is relatively simple.
0 = $0
1 = $400
2 = $800
3 = $1400
________
Answered by James
Step-by-step explanation:
Just keep adding my friend
What was the percent decrease? 2% 14% 16% 7%
Answer:
Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.
Step-by-step explanation:
Select all the correct answers.
Isosceles trapezoid ABCD is shown.
Which three statements are correct?
In the given Isosceles trapezoid ABCD, the following three statements are correct:
∠ADC ≅ ∠BCD
AD ≅ BC
AC ≅ BD
An isosceles trapezoid is a trapezoid with equal base angles and hence equal left and right side lengths. Non-parallel sides on isosceles trapezoids have the same lengths. Hence, AD ≅ BC
A triangle with two equal sides is said to be isosceles. The two angles facing the two equal sides are also equal. Hence, ∠ADC ≅ ∠BCD.
The diagonals of the isosceles trapezoid are also equal. Hence, AC ≅ BD.
Thus, three correct statements in the given question are:
∠ADC ≅ ∠BCD
AD ≅ BC
AC ≅ BD
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m<1 = 36, m<4 = 49, m<6 = 131. find m<9
a. 36
b. 242
c. 144
d. 216
Answer:
C.144
Step-by-step explanation:
Angle 1 and 9 are supplementary angles so angle 1+9=180 degrees.
Substitute it, 36+angle 9=180
Use the subtraction property of equality to get angle 9 = 144
Hope this helps and is the answer you were looking for
:)
Answer:
m∠9 = 144
Step-by-step explanation:
measure of straight angle FCE=180
angle FCE=measure of angle 9 + measure of angle 1
180=m∠9+36
180-36=m∠9
m∠9=144
Help me please I need the help right now plss
The fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).
Ryan grew \($\frac{1}{2}$\) feet in a year.
1. To express the fraction \($\frac{9}{12}$\) as a sum of smaller fractions, we can simplify it by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of \(9\) and \(12\) is \(3\).
So, we can rewrite \($\frac{9}{12}$\) as:
\($\frac{9}{12} = \frac{3 \times 3}{3 \times 4} = \frac{3}{4}$\)
Therefore, the fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).
2. To find how much Ryan grew in a year, we need to calculate the difference between his height this year and his height last year.
Let's convert the mixed fractions to improper fractions for easier computation:
Last year's height: \($4 \frac{3}{4} = \frac{4 \times 4 + 3}{4} = \frac{19}{4}feet\)
This year's height: \($5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4} feet\)
To determine the growth, we subtract last year's height from this year's height:
\($\frac{21}{4} - \frac{19}{4} = \frac{21 - 19}{4} = \frac{2}{4} = \frac{1}{2}feet\)
Therefore, Ryan grew \($\frac{1}{2}$\) feet in a year.
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The price of a coat is $65. In sale, the price is reduced by 15%. What is the price of the coat in sale?
a rectangular room is 3 times as long as it is wide, and its perimeter is 48 meters. find the dimensions of the room.
The dimensions of the room will be 12m x 6m.
What is a dimension?In mathematics, dimensions are the measurements of the size or distance of an item, area, or space in one direction. In layman's words, it is the measurement of something's length, breadth, and height. Length is the most often used dimension.So, now calculate the dimensions of the room as follows:
Let the width be x.Then the length will be 3x.Perimeter = 48 metersSolve as shown:
2 ( x + 3x) = 488x = 48x = 6mlength = 12 mTherefore, 12m x 6m will be the dimensions of the room.
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