f central pennsylvania had a really dry year, and received only one-third of our usual rainfall, we would be just dry enough to be a called a desert if such dry years stayed for a long time. how much rainfall per year would we be receiving per year then? (in an average year, pennsylvania gets about the same amount
Approximately 3.3 inches of rainfall per year.
If central Pennsylvania received only one-third of the usual rainfall in a really dry year, it would be receiving 1/3 * the usual amount of rainfall per year.
In an average year,
Pennsylvania gets about the same amount of rainfall as a desert, which is typically defined as an area that receives less than 10 inches of precipitation per year.
Therefore, if central Pennsylvania received only one-third of the usual amount of rainfall in a really dry year, it would be receiving,
1/3 * 10 inches = approximately 3.3 inches of rainfall per year.
This amount of rainfall is significantly less than the average rainfall in Pennsylvania and would qualify as a desert if it persisted over a long period of time.
Hence, Approximately 3.3 inches of rainfall per year.
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Which financial tool is most important?
The financial tool that is most important is creating a budget.
What is the financial toll about?The ideal financial instrument for long-term planning objectives is You'll be able to set away money each week or month with the use of a budget.
You may track where your money is going and determine how much you have to spend on items besides expenses by utilizing a budget.
A budget can help you prioritize your spending and saving, and ensure that you have enough money set aside to reach your goals. Here is a step-by-step explanation of how to create a budget:
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if f(x)=(2x)^2, find f(-4)
Answer:
y=32
Step-by-step explanation:
substitute x for (-4)
(2 x -4)^2= 32
Statements and Reasons
1) Quadrilateral [tex]ABCD[/tex] with diagonal [tex]\overline{AEC}[/tex] bisecting [tex]\angle DAB[/tex], [tex]\overline{BE}[/tex], [tex]\overline{DE}[/tex], [tex]\angle 1 \cong \angle 2[/tex] (given)
2) [tex]\angle BAE \cong \angle EAD[/tex] (definition of an angle bisector)
3) [tex]\overline{AE} \cong \overline{AE}[/tex] (reflexive property)
4) [tex]\triangle BAE \cong \triangle DAE[/tex] (AAS)
5) [tex]\overline{AB} \cong \overline{AD}[/tex] (CPCTC)
6) [tex]\overline{AC} \cong \overline{AC}[/tex] (reflexive property)
7) [tex]\triangle BAC \cong \triangle DAC[/tex] (SAS)
8) [tex]\overline{BC} \cong \overline{DC}[/tex] (CPCTC)
What is the answer for M 4 =- 12?
The expression be written as 4 × -3 = -12, which can be simplified to -3 × 4 = -12. Therefore, the answer for M4 = -12 is -3.
M4 = -12 is an algebraic expression that is asking us to solve for the value of M. To solve, we can start by rewriting the expression as 4 × -3 = -12. This can be simplified to -3 × 4 = -12.Now, it is easier to see that the value of M is -3. This is because when we multiply -3 by 4, we get -12. Since -12 is the same value as the original equation, M must be equal to -3.To summarize, M4 = -12 is an algebraic expression that can be simplified to -3 × 4 = -12. Solving for M, we end up with M = -3. This is because when we multiply -3 by 4, we get -12, which is the same value as the original equation.
M4 = -12
4 × -3 = -12
-3 × 4 = -12
M = -3
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the primary function of jails is to: group of answer choices a. hold persons for less than 1 year. b. hold persons for more than 1 year. c. hold persons for more than 5 years. d. hold persons for more than 10 years.
The jail's function is to hold inmates (A) for terms that are shorter than a year.
What do we mean by jails?A prison sometimes referred to as a jail, jail, penitentiary, detention center, correction center, correctional institution, lock-up, hoosegow, or remand center, is a place where people are imprisoned against their choice and typically denied a range of freedoms as retribution for various offenses.
The only purpose of a jail is to house inmates for a period of time shorter than a year.
With very few exceptions, modern jails are municipal or county-level detention centers run by local police departments or correctional facilities.
Like their historical forebears, they are employed to hold those who pose a flight risk or a threat to public safety while they await trial.
Therefore, the jail's function is to hold inmates (A) for terms that are shorter than a year.
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How many real zeros does this graph have?
Answer:
3
Step-by-step explanation:
Real zeros are the times when the graph intercepts the x-axis or, in other words, when y = 0.
In this graph, the polynomial intercepts the horizontal (x) axis 3 times!
This means there are 3 real zeros.
What are some domain examples?
The allowable set of values makes up a function's domain. The set of authorized values is the domain of a function.
what is domain ?The set of authorized values is the domain of a function. The x values of a function, like f, are included in this collection (x). The collection of such values serves as a representation of the range of values that can be used as input for a function. The function returns this set of values when we enter an x value.
here ,
Consider the function represented by y = f(x), where x and y are independent variables. If a function f provides a method of efficiently generating a single value y while employing a value for x to that end, the selected x-value is said to fall inside the domain of f.
The range of values that a function can accept is referred to as the domain.
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For what value of A is x 5 a factor of x³ 3x² ax 10?
The Value of a for which (x - 5) is a factor of x³ -3x² +ax -10 is a = -8 .
The Equation is given as x³ -3x² +ax -10 ;
the factor of the above equation is given as (x - 5) ;
Since (x - 5) is given to be a factor ,
we have , x - 5 [tex]=[/tex] 0 ;
On solving ,
we have , x = 5 .
For (x - 5) to be a factor of x³ -3x² +ax -10 ,
x = 5 should satisfy the given equation .
that means ; (5)³ -3(5)² +a(5) -10 = 0 ;
⇒ 125 - 3×25 + 5a - 10 = 0 ;
⇒ 125 - 75 + 5a - 10 = 0 ;
⇒ 50 + 5a - 10 = 0 ;
⇒ 40 + 5a = 0 ;
⇒ 5a = -40 ;
dividing both sides by 5 ,
we get ;
a = -40/5 = -8 .
Therefore , the value of a is "-8" .
The given question is incomplete , the complete question is
For what value of a is (x - 5) a factor of x³ -3x² +ax -10 ?
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What is the variance if the standard deviation is 4?
John deposits $500 into a CD that compounds interest monthly. The account pays 5.2% interest. How much is in the account after 2 non-leap years?
By using compound interest, there will be$554.68in the account after 2 years.
What is compound interest?Compound interest is interest that is calculated on the original principal of a loan or deposit, as well as on any accumulated interest from previous periods.
What is the formula to calculate the compound interest?Compound interest is calculated using the following formula:
Compound interest = P * (1 + r/n)^(nt) - P
To calculate the total amount in the account after 2 years, we can use the following formula:
Total amount = P * (1 + r/n)^(nt)
In this formula, P is the principal amount (the initial deposit of $500), r is the annual interest rate (5.2%), n is the number of times that interest is compounded per year (12 in this case, since the interest is compounded monthly), and t is the number of years for which the interest is compounded (2 in this case).
Substituting the given values into the formula, we get:
Total amount = $500 * (1 + 0.052/12)^(12*2) = $554.68
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Is it possible to make an equation from these two equations? If so, do they have infinite solutions, no solutions, or one solution?
Consider the mathematical sentence 2 = 2.
Is there any variable or constant that you could add to or subtract from both sides, or multiply or divide both sides by using the Properties of Equality to make this true sentence false? Choose variables and constants to create new mathematical sentences to justify your conclusion
Consider the mathematical sentence 2 ≠ 3.
Is there any variable or constant that you could add to or subtract from both sides, or
multiply or divide both sides by using the Properties of Equality to make both sides equal? Choose variables and constants to create new mathematical sentences to justify your conclusion.
Answer:
For the equation 2 = 2, it is not possible to make this equation false by using the Properties of Equality. This is because the equation is already true, and any manipulation of the equation using the Properties of Equality would not change this fact. Therefore, this equation has one solution.
For the equation 2 ≠ 3, it is not possible to make both sides equal by using the Properties of Equality. This is because the equation is stating that the two sides are not equal, and any manipulation of the equation using the Properties of Equality would not change this fact. Therefore, this equation has no solutions.
How do you prove AAS congruence?
To prove AAS congruence, we need to show that the angles and included sides of the two triangles are equal.
For example, consider two triangles ABC and DEF. If we know that ∠A = ∠D, ∠B = ∠E, and BC = DE, we can use the AAS theorem to conclude that triangle ABC is congruent to triangle DEF. To prove this congruence, we can set up the following system of equations:
∠A = ∠D∠B = ∠EBC = DESolving this system of equations will show that all of the angles and included sides of the two triangles are equal, thereby proving that the triangles are congruent.
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The diameter of a circle is 6 meters. What is the length of a 30° arc?
The length of a 30° arc of a circle with a diameter of 6 meters can be calculated using the formula L = θ/360 * π * d, where L is the length of the arc, θ is the angle of the arc in degrees, d is the diameter of the circle, and π is the mathematical constant approximately equal to 3.14. Plugging in the values given in the question, we get L = 30/360 * 3.14 * 6 = 3.14 meters. So, the length of the 30° arc is approximately 3.14 meters.
Lamonte earned $269.10 at his job when he worked for 13 hours. How much money did he earn each hour?
Answer:
Step-by-step explanation:
To solve this problem, we need to divide the total amount of money Lamonte earned ($269.10) by the number of hours he worked (13 hours).
We can write this as an equation as follows:
earnings per hour = $269.10 / 13 hours
To solve for earnings per hour, we can divide both sides of the equation by 13:
earnings per hour = $269.10 / 13 hours / 13 = $269.10 / 13^2 = $269.10 / 169 = $1.60
Therefore, Lamonte earned $1.60 per hour.
If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.
If 10x +5 = 100, then x is less than 10 without solving the equation, x will be multiplied with 10, and if 10 is mulptiplied with 10, it will givess 100, then 100 plus 5 will give 105 which is more than 100.
How can this be calculated?given the equation as 10x +5 = 100
then the equation can be rearranged as 10x = 100 - 5
this can be rearranged by substracting 5 from 100, which is
10x = 95
then we can make x the subject of the formula as
x=95/10
= 9.5
hence x= 9.5
Therefore, if 10 is mulptiplied with 10, it will givess 100, then 100 plus 5 will give 105 which is more than 100.
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What is the value of 994 1/3 According binomial theorem?
The value of 994 to the power 1/3 is 9.97.
The binomial theorem involves the method of expanding an expression which is raised to a finite power. A binomial theorem has its application in probability, algebra, etc.
A binomial expression is said to have two dissimilar terms.
The total number of terms in (x + y)ⁿ are n+1.
The expansion of (1 + x)ⁿ can be written as,
(1 + x)ⁿ = 1 + nx + [n*(n-1)]/2! x² + [n*(n-1)*(n-2)]/3! x³ + ....
Let us find the value of 994 to the power 1/3,
⇒ (993 + 1)¹/³
⇒ 1 + 993/3 + 993* 993* [1/3* (-2/3)]/2! + 993* 993* 993* [1/3* (-2/3)* (-5/3)]/3! + ...
⇒ 1 + 331 - 54780.5 + 60441151.67 - ...
⇒ 9.97
Thus, the required value is 9.97.
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The sum of present age of father and son is 50years.After 5years the age of father is thrice the age of son .Find their present age
Answer:
age of father is 40 and son is 10
Step-by-step explanation:
let age of father be x
and age of son is y
At present,
x+y=50 eq 1
After 5 years,
Ages are,
Father = x+5
Son = y+5
As age of father is thrice so,
x+5 = 3(y+5)
x+5 = 3y+15
x-3y= 10 eq 2
Multiply eq 1 by 3
3x + 3y = 150 eq 3
Now, Add eq 2 and 3
4x = 160
x = 40 .................... ....... Age of father
Put x in eq 1
40 + y = 50
y = 10 ......................... Age of Son
the random() method generates numbers greater than or equal to 0 and less than 1. group of answer choices true false
True. The random() method is a function that generates a random floating-point number between 0 (inclusive) and 1 (exclusive).
This means that the generated number will be greater than or equal to 0 and less than 1. For example, a call to random() might return a value like 0.342341, 0.859203, or 0.000001.
Here is an example of how the random() method can be used in Python to generate a random float between 0 and 1:
import random
# Generate a random float between 0 and 1
x = random.random()
print(x)
The output of this code might be something like 0.342341 or 0.859203.
Therefore, it's true that The random() method is a function that generates a random floating-point number between 0 (inclusive) and 1 (exclusive).
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This means that the generated number will be greater than or equal to 0 and less than 1. For example, a call to random() might return a value like 0.342341, 0.859203, or 0.000001.
Here is an example of how the random() method can be used in Python to generate a random float between 0 and 1:
import random
# Generate a random float between 0 and 1
x = random.random()
print(x)
The output of this code might be something like 0.342341 or 0.859203.
Therefore, it's true that The random() method is a function that generates a random floating-point number between 0 (inclusive) and 1 (exclusive).
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How much paint do I need for 2200 square feet?
6 cans are needed to paint an area of 2200 units square.
The cans of paints and areas are illustrations of equivalent ratios.
The quantity of paint required for a certain area of house can be found out using the area of the house.
As the area is given in this problem, it is easier to calculate the amount of paint.
The given parameter is,
Cans: area = 1: 400
Putting it in the form of fraction,
Cans/area = 1/400
Cross multiplying, we have,
Cans = 1/400 × 2200 = 5.5 ≈ 6
Thus, 6 cans are needed to paint a 2200 square feet.
The question is incomplete. The complete question is 'How many cans of paint are needed to cover an area of 2200 square units if one can of paint covers in area 400 square units.'
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How do you solve log2 value?
We solve log2 value by following logarithm laws.
What is logarithm?Logarithm is the alternating way of expressing an exponent. The power at which a number is needed to raise so as to obtain the other values is called logarithm.
What does mean by log2?log2 is termed as log base 2 or binary logarithm. It is called the inverse of the power of two function.
How do we solve log2?As stated earlier that Log base 2 is an inverse expression of the power 2.
Suppose N is a real positive number and x is the number of exponents.
Now, logarithm form of this exponent is written
as log2 N = x
2∧x = N
Besides, we can directly get the log2 value by using calculator.
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Convert 39 cups into cubic feet. Round your answer to the nearest hundredth.
Answer: 0.34 cubic feet
Sofia is 1. 35 meters tall. At 11 a. M. , she measures the length of a tree's shadow to be 23. 55 meters. She stands 18. 1 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The height of the tree, calculated according to the details of shadow and Sofia's height, to the nearest hundredth of a meter is 5.83 meters.
The tangent of angle of elevation will be equal to the ratio of height of tree ÷ distance from the tip shadow. The tangent will be same for both tree and the girl. Le the height of tree be x.
x/23.55 = 1.35/(23.55-18.1)
Performing subtraction on Right Hand Side of the equation
x/23.55 = 1.35/5.45
Rewriting the equation with x
x = (1.35×23.55)/5.45
Performing multiplication on Right Hand Side of the equation
x = 31.79/5.45
Performing division on Right Hand Side of the equation
x = 5.83 meters
Thus, tree is 5.83 meters tall.
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HELP
Michelle jogs 3 miles in 36 minutes. At the same rate, how many miles would she jog in 60 minutes?
A. 6.5
B. 6
C. 4.5
D. 5
Explain you work pls
Answer:
d) 5 miles
Step-by-step explanation:
Minutes for jogging 1 mile is,
→ 36/3
→ 12 minutes
Formula we use,
→ Total time ÷ Time needed for 1 mile
Then the distance she cross in 60 min,
→ 60 ÷ 12
→ 5 miles
Hence, she will cross 5 miles.
What are the factors of x³ Y³?
The factor for (x³ + y³) is (x+ y) (x² + y² - xy).
and, factor for (x³ - y³) is (x - y) (x² + y² + xy)
What are Factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
Given:
(x³ + y³) or (x³ - y³)
Now using Algebraic identities we have
(x³ + y³)
Using (x+ y)³ = x³ + y³ + 3xy(x+ y)
(x+ y)³ - 3xy(x+ y)= x³ + y³
x³ + y³= (x+y)[ (x+y)² - 3xy]
x³ + y³ = (x+ y) [ x² + y² + 2xy - 3xy]
x³ + y³ = (x+ y) (x² + y² - xy)
and, (x³ - y³)
Using (x- y)³ = x³ - y³ - 3xy(x+ y)
(x - y)³ + 3xy(x- y)= x³ - y³
x³ - y³= (x-y)[ (x-y)² + 3xy]
x³ - y³ = (x - y) [ x² + y² - 2xy + 3xy]
x³ - y³ = (x - y) (x² + y² + xy)
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Which strategy can be used to prove that the diagonals of a parallelogram bisect each other?.
The strategy that can be used to prove that the diagonals of a parallelogram bisect each other is congruent triangles .
Given :
Let ABCD is a parallelogram with midpoint M .
To prove that he diagonals of a parallelogram bisect each other we have to go through the following steps:
Angle DBA is congruent to angle BDC.
Angle CMD is congruent to angle AMB.
Triangle CMD is congruent to triangle AMB.
Segment AM is congruent to segment MC.
M is the midpoint of segment AC.
Segment BD bisects segment AC.
Segment BM is congruent to segment MD.
M is the midpoint of segment BD.
Segment AC bisects segment BD.
Hence we have to use the concept of congruent triangles in order to prove that the diagonals of a parallelogram bisect each other.
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4(2x + 5) = [ ]x + [ ]
rewrite using the distributive property
Answer:
Step-by-step explanation:
first you do 4 x 2x=8x
next you do 4 x 5=20
then you get 8x + 20 :)
Answer number 2 or number 3 thank you
Jose can build a wall in 10 hours. Frank can build the same wall in 15 hours. If they work together, they can paint wall in 6 hours.
Define LCM.The least common multiple, or LCM, of two numbers, such as a and b, is written as LCM in mathematics (a,b). The smallest or least positive integer that is divisible by both a and b is known as the LCM. Finding the prime factors of the provided integers and determining the least common multiple are both steps in the prime factorization process (LCM). For instance, use the prime factorization to couple the multiples that are shown to determine the least common multiple of 12 and 16. Together with the other multiples, list them.
Given,
Jose can build a wall in 10 hours
Frank can build the same wall in 15 hours
Together they can paint in,
Taking LCM
1/10 + 1/15
3/30 + 2/30
5/30
1/6
Time taken = 6 hours
If they work together, they can paint wall in 6 hours.
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3) n+ 5(n-1) = 7
4) 15=-2(2t - 1)
Answer:
3. n = 2
4. t = -13/4
Step-by-step explanation:
3)
. . . . (3a) Distribute (multiply) +5 into the expression (n-1)
. . . . . . . . [tex]n + 5n - 5 = 7[/tex]
. . . . (3b) Add like terms (terms with the same variable)
. . . . . . . . [tex]6n - 5 = 7[/tex]
. . . . (3c) Add 5 on both sides of the equation to "get rid" of the -5
. . . . . . . . [tex]6n -5 +5 = 7 +5[/tex]
. . . . . . . . [tex]6n = 12[/tex]
. . . . (3d) Divide both sides by 6 to isolate the variable
. . . . . . . . [tex]6n/6 = 12/6[/tex]
. . . . . . . . [tex]n = 2[/tex]
4)
. . . . (4a) Distribute (multiply) -2 into the expression (2t-1)
. . . . . . . . [tex]15 = -4t + 2[/tex]
. . . . (4b) Subtract 2 on both sides of the equation to "get rid" of the +2
. . . . . . . . [tex]15 -2 = -4t +2 -2[/tex]
. . . . . . . . [tex]13 = -4t[/tex]
. . . . (4c) Divide both sides by -4 to isolate the variable
. . . . . . . . [tex]13/-4 = -4t/-4[/tex]
. . . . . . . . [tex]-13/4 = t[/tex]
A candy machine contains over 1{,}0001,0001, comma, 000 pieces of candy, 30\%30%30, percent of which are blue. Customers get an srs of 151515 candies in a purchase. Let x=x=x, equals the number of blue candies that a random customer gets in a purchase.
The mean and the standard deviation of the data of the purchase are 4.5 and 1.8 respectively.
According to the question we can interpret that either the candy will be blue or it will not be blue. We use the method of Binomial distribution because the probability of getting a blue candy is not dependent on any other candy. The formula for expected value of the distribution will be
Expected value = E(X) = np
The standard deviation will be
SD = √(np(1 - p))
Now, from the question, n = 15 and the value of p = 30% = 0.3
putting these values we get
Expected value = E(X) = 15×0.3 = 4.5
SD = √(15×0.3(1 - 0.3))
SD = √4.5×0.7
SD = 1.8
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Complete Question:
A candy machine contains over 1,000 pieces of candy, 30% of which are blue. Customers get an SRS of 15 candies in a purchase. Let X= the number of blue candies that a random customer gets in a purchase. Find the mean and standard deviation of X. You may round your answers to the nearest tenth.