The range of the graphs are
1. 3 ≥ y ≥ -22. 2 > y ≥ -33. 2 > y > -24. 0 ≥ y > -3What is range in geometry?In geometry, the range refers to the set of all possible output values that a function or relation can take. More specifically, it represents the set of all y-values that can be obtained from a given function or relation, based on its corresponding x-values.
Continuous range refers to a set of values that can take on any real number within a certain interval or domain, without any gaps or interruptions.
In other words, a continuous range can have an infinite number of possible values within a given range, and hence inequality is used to state the intervals of the possible values
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The budget for a school dance is $380.00. Decorations and refreshments cost $172.00. The band charges a fee of $100.00 plus an additional $25.00 per hour. What is the maximum
number of hours the school can have the band play at the dance?
0 2 hours
0 3 hours
0 4 hours
O 5 hours
Answer:
4 hours
Step-by-step explanation:
Decorations and refreshments already cost $172, so subtract 172 from 380
380 = 172 = 208
The band charges a $100 flat fee, so subtract 100 from 208
202 - 100 = 108
We have $102 remaining
To find how many hours the band can play, divide 108 by 25
102 ÷ 25 = 4.32
You can't buy 0.32 hours, so round that 4.32 down to 4
A truck parked on the street is 56 m from the base of the apartment building on the right. The angle of elevation from the truck to the top of the building is 40°. The parked truck is 49 m from the base of the apartment building on the left. The angle of elevation from the truck to the top of that building is 50°. Which building is taller?
Answer:
The building to the left is taller.
Step-by-step explanation:
Building on right:
tan 40° = a/56
a = 56 tan 40° = 46.99
Building on left:
tan 50° = b/49
b = 49 tan 50° = 58.40
The building to the left is taller.
The weekly kennel charges an extra 5% for puppies that are not house broken. What will the extra fee be for a puppy whose stay regularly costs $29.80?
Answer:
1.49
Step-by-step explanation:
Take the cost * the 5% for not for not being house broken
29.80 * .05
1.49
Answer:
Extra fee would be $1.49
Step-by-step explanation:
Take 5% of $29.80. That would be 0.05($29.80), or $1.49
I'J'is a translation of IJ Write the translation rule.
Answer:
(x+6), (y+9)
Step-by-step explanation:
The x coordinate of J goes from -7 to -1, so it is translated x+6
The y coordinate of j goes from -8 to 1, which is a difference of 9, so it's translated y + 9
Bill started west on road u. S. 50, riding a bicycle at an average rate of 9 mph. Four hours later charles started after bill on a motor cycle and overtook him in 2 hours. What was charles' rate? which equation could be used to solve for charles' rate if it is represented by x? 6 x = 54 2 x = 54 2 x = 36.
The equation could be used to solve for charles' rate if it is represented by x is 2x=54.
In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.
Bill riding a bicycle at an average rate of 9 mph.
Charles' rate is x.
So the relative rate = x−9 mph
Distance traveled by Bill in 4 hours = 9*4 =36 mph
Charles' overtook Bill in 2 hours. So
Relative Rate = Distance/Time
x−9=36/2
Multiply by 2 on both side. We get
2(x−9)=36
Simplifying
2x−18=36
Add 18 on both side, we get
2x=36+18
2x=54
Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.
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Two angles are complementary. The first angle is 2x degrees. The second angle is (3x +5) degrees. Determine the measure of each angle.
Answer:
70 and 110
Step-by-step explanation:
2x + 3x + 5 = 180
5x = 175
x = 35
2x -- 70
3x + 5 -- 110
Thenks and mark me brainliest :)
Find the number of ways of arranging the numbers 1, 2, 3, . . . , 9 in a 3 × 3 grid, so that the sum of the numbers in each row is odd.
Answer: 151,200 combinations
Step-by-step explanation:
So we want to order the numbers 1, 2, .... , 9 in a:
\(\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)
such that the sum in each row is an odd number.
if we add 3 odd numbers we have an odd number.
if we add 2 even numbers, and an od number, we have an odd number.
where the rows are in this case (1, 2, 3), (4,5,6) and (7, 8, 9)
We have 4 even numbers and 5 odd numbers, so one combination can be:
\(\left[\begin{array}{ccc}1&5&3\\4&7&6\\2&8&9\end{array}\right]\)
Now, we for this option we can:
permute the numbers in each row: c =3*2*1 options per row and permute the rows, also c = 3*2*1
So only for this combination we have: P = (3*2)^4 possible ways of writing it.
Now, let's find the different combinations of numbers, so you can expect that we will find a lot of combinations, now let's construct them:
Suppose that in the first row we have two even numbers and 1 odd, then for the first even number we have 4 options, for the second 3 options, and for the odd number 5 options, so we have 4*3*5 combinations.
For the second row we also want two even numbers and one odd.
For the first even number we have 2 options, for the second one, and for the odd number we have 4 options, so we have 4*2*1 combinations.
In the last row we want the other 3 odd numbers, so we have 3*2*1 combinations, this adds to:
C = (4*3*5)*(3*2*1)*(4*2*1) = 2880 combinations.
If we add the fact that the rows can interchange positions, we have other 3*2*1 combinations:
C = 2880*3*2 = 16,800 and if now we add the fact that the numbers in the first two rows can permute (it is not the same (2, 4, 5) than (2, 5, 4) or (4, 2, 5)) (this happens because in these two rows we have different types of numbers, while in the third one the permutations are already included)
So the thing that can change in the first two rows is the position of the odd number, can be first, second or third, so we have other 3 permutations for the two first rows:
C = 16,800*3*3 = 151,200 which is the total number of different combinations.
Pleaseeeee helppp. I'm so confused.
Answer:
x ≤ 2
Step-by-step explanation:
Brainliest pls btw did it help
aldosterone stimulates the reabsorption of sodium while enhancing potassium secretion.
a. true b. false
I believe that may be false
Answer:
Step-by-step explanation:
True.
Aldosterone is a hormone produced by the adrenal gland that plays an important role in regulating electrolyte and water balance in the body. It acts on the cells of the distal tubules and collecting ducts of the kidneys to increase the reabsorption of sodium ions and the secretion of potassium ions.
This helps to increase blood volume and blood pressure by retaining more sodium and water in the body while getting rid of excess potassium. Aldosterone release is regulated by the renin-angiotensin-aldosterone system, which is activated in response to low blood pressure or low sodium levels in the blood.
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The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.
LAST YEAR THE POPULATION OF A TOWN WAS 50000.IF THE ANNUAL RATE OF POPULATION GROWTH IS 5%.FIND THE PRESENT POPULATION OF THE TOWN
Answer:
52500
Step-by-step explanation:
5% of 50000 is 2500
(50000 * 0.05 = 2500)
50000 + 2500 = 52500
another way to do it is just multiply 50000 by 1.05 (105%)
how many three-letter initials with none of the letters repeated can people have?
To find the number of three-letter initials with none of the letters repeated, we need to consider the number of choices for each position in the initials.
To determine the number of three-letter initials with none of the letters repeated, we can analyze each position in the initials. For the first letter, we have 26 choices since there are 26 letters in the English alphabet.
After selecting the first letter, for the second letter, we have 25 choices remaining since we cannot repeat the letter used in the first position. Similarly, for the third letter, we have 24 choices remaining since we cannot repeat either of the previous letters.
Therefore, the total number of three-letter initials with none of the letters repeated can be found by multiplying the number of choices for each position: 26 * 25 * 24 = 15,600. Hence, there are 15,600 different three-letter initials that people can have if none of the letters are repeated.
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13. Solve each equation using the quadratic formula.
2
x + 4x 21 = 0
Please help me with 13!!!
Answer:
\(x = 3, \: x = - 7\)
Step-by-step explanation:
\(using \: the \: quadratic \: formula \\ x = \frac{ - b± \sqrt{b {}^{2} - 4ac} }{2a} \)
\(compare \: with \: the \: general \: form \: of \: quadratic \: equation \\ ax {}^{2} + bx + c\)
\(a = 1, \: b = 4, \: c = - 21\)
\(substituting; \\ x = \: \frac{ - 4± \sqrt{4 {}^{2} - 4 \times 1 \times - 21 } }{2 \times 1} \)
\(x = \frac{ - 4 ± \sqrt{16 + 84} }{2} \)
\(x = \frac{ - 4± \sqrt{100} }{2} \)
\(x = \frac{ - 4±10}{2} \)
\(x = \frac{ - 4 + 10}{2} \: or \: x = \frac{ - 4 - 10}{2} \)
\(x = \frac{6}{2} \: or \: x \: \frac{ - 14}{2} \)
Therefore X = 3, X = -7
F(x)=5x and g(x)=-4x+3
Answer and Step by Step:
Alrighty people. Time to do some math!
So to find the first problem we basically need to combine all the functions and multiply them. Ugh I know I know it may seem a little complicated.
f ((-4x + 3)(5x))
(is this the final answer?)
Hmm maybe not so complicated. Oh well on the the next one. By the way let me know if the first problem is not finished.
We basically do the same thing here
(-4x+3)(f(5x))
Hope you have a good day and luck in finding good memes!
(a) explain in words how the math is supposed to work for calculating the number of scenarios. (b) show the arithmetic behind calculating the final value. (c) why is it important to be able to estimate the number of scenarios before beginning your full assessment?
Answer:your mom your mom your mom69
The cone-shaped paper cup is 2/3 full of sand. What is the volume of the part of the cone that is filled with sand?
The volume of the part of the cone that is filled with sand is 2/9 times the total volume of the cone.
To do this, we need to first determine the total volume of the cone. The formula for the volume of a cone is:
V = 1/3 x π x r² x h
Where V is the volume, r is the radius of the base of the cone, h is the height of the cone, and π is a mathematical constant (approximately equal to 3.14).
Since we know that the paper cup is cone-shaped, we can assume that it has a circular base. Let's say that the radius of the base of the cone is r and the height of the cone is h.
The total volume of the cone can be calculated using the formula above:
V = 1/3 x π x r² x h
Now we need to determine the volume of the part of the cone that is filled with sand. We know that the cup is 2/3 full of sand, so the volume of sand in the cup is 2/3 of the total volume of the cup. We can express this as:
V = 2/3 x V
We can substitute the formula for V into this equation to get:
V = 2/3 x (1/3 x π x r² x h)
Simplifying this equation, we get:
V = 2/9 x π x r² x h
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Dr. Zinab has opened a retirement fund account, which pays 12% interest and requires $10,000 annual deposits. Dr. Zinab will retire in 10 years and expects 20 years of retirement life. What is the maximum annual retirement benefit Dr. Zinab can get during her retirement years?
The maximum annual retirement benefit that Dr. Zinab can receive during her retirement years depends on the balance in her retirement fund account at the time of retirement. Based on the given information, Dr. Zinab will make annual deposits of $10,000 for 10 years, which will earn an annual interest rate of 12%.
To calculate the maximum annual retirement benefit, we need to use the formula for the present value of an annuity due, which takes into account the annual payments made at the beginning of each year and the interest earned on those payments.
Using the formula, the maximum annual retirement benefit that Dr. Zinab can receive during her retirement years is approximately $54,305. This assumes that Dr. Zinab's retirement fund account has a balance of $1,449,787 at the time of her retirement, which is calculated based on the 10-year period of annual deposits and the interest earned on those deposits. This amount can be further adjusted based on Dr. Zinab's specific retirement needs and circumstances.
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The maximum annual retirement benefit that Dr. Zinab can receive during her retirement years depends on the balance in her retirement fund account at the time of retirement. Based on the given information, Dr. Zinab will make annual deposits of $10,000 for 10 years, which will earn an annual interest rate of 12%.
To calculate the maximum annual retirement benefit, we need to use the formula for the present value of an annuity due, which takes into account the annual payments made at the beginning of each year and the interest earned on those payments.
Using the formula, the maximum annual retirement benefit that Dr. Zinab can receive during her retirement years is approximately $54,305. This assumes that Dr. Zinab's retirement fund account has a balance of $1,449,787 at the time of her retirement, which is calculated based on the 10-year period of annual deposits and the interest earned on those deposits. This amount can be further adjusted based on Dr. Zinab's specific retirement needs and circumstances.
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a computer table is given a discount of 20% the original price of the computer id php 850. What is the discounted price
Plz I need help with this ASAP
3x^2/4=48
This is solving quadratic functions by square roots btw
Answer:
x = 8
Explanation:
\(\frac{3x^2}{4} =48\)
multiply both sides by 4: \(3x^2=192\)
divide both sides by 3: \(x^2=64\)
take the square root:
\(\sqrt{x^2} = \sqrt{64} \\x=8\)
during the last year the value of your house decreased by 20%. if the value of your house is $184,000 today, what was the value of your house last year? round your answer to the nearest cent, if necessary .
Answer:
The last year value of the house will be $230,000.
Step-by-step explanation:
GIVEN: Decrease in house price = 20%
Current house price = $184,000
TO FIND: Value of the house last year
SOLUTION:
If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.
Let the value of the house last year be 'x'.
If the value of the house today is $184,000, then:
\(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)
Therefore, the last year value of the house will be $230,000.
Given the Quadrilateral pictured below. What is the
value of "X"?
Answer:
Value of x is used to consider unknown value.
Step-by-step explanation:
Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable.
HELP WILL REWARD Brainiest!!!!!!!!
The computer output below shows the result of a linear regression analysis for predicting the concentration of zinc, in parts per million (ppm), from the concentration of lead, in ppm, found in fish from a certain river. Which of the following statements is a correct interpretation of the value 19.0 in the output?Pilihan jawabanOn average there is a predicted increase of 19.0 ppm in concentration of lead for every increase of 1 ppm in concentration of zinc found in the fish.On average there is a predicted increase of 19.0 ppm in concentration of zinc for every increase of 1 ppm in concentration of lead found in the fish.The predicted concentration of zinc is 19.0 ppm in fish with no concentration of lead.The predicted concentration of lead is 19.0 ppm in fish with no concentration of zinc.Approximately 19% of the variability in the zinc concentration is predicted by its linear relationship with lead concentration.
On average there is a predicted increase of 19.0 ppm in concentration of zinc for every increase of 1 ppm in concentration of lead found in the fish.
Linear regression: What is it?A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable. More specifically, the nature and degree of the correlation between a dependent variable and a number of different independent variables are assessed using linear regression. It aids in the creation of models for making predictions, such as projecting the stock price of a corporation.
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Help! evaluate this number
Answer:
-12×3 = -36.............
What is the value of x in the equation below?
6(x-8) = 72
A 12
B 15
C 20
D 24
the answer is 20 hope it helped :)
-5x + 4y = 3
x = 2y - 15
solve for x and y
I'm failing please send help
Answer:
Let's solve for x.
−5x + 4y = 3
Step 1: Add -4y to both sides.
−5x + 4y+ −4y =3+ −4y
−5x = −4y +3
Step 2: Divide both sides by -5.
-5x divided by 5 = -4y+3 divided by -5
x=4/5y + −3/5
Step-by-step explanation:
Consider the following integral:
∫1/t^2√9+t^2 dt
(a) According to the method of trigonometric substitution, which of the following would be appropriate for this integral?
• t =3sin(θ)
• t=9tan(θ)
• t=9sin(θ)
• t=3tan(θ)
(b) Using the substitution in part (a), which of the following integrals is equivalent to the given integral for −π/2 < θ < π/2 ?
• ∫sec^2(θ)/ 9tan^2(θ) dθ
• ∫1/9tan^2(θ) dθ
• ∫ sec(θ)/9tan^2(θ) dθ
• ∫ 1/27tan(θ)sec(θ)dθ
(c) Evaluate the integral in part (b). Use a triangle to express the answer in terms of t. Use C for the constant of integration.
__________
a) By substituting t = 3tan(θ), we can rewrite this term as 9 + (3tan(θ))^2 = 9 + 9tan^2(θ) = 9(1 + tan^2(θ)), b) ∫(1/9tan^2(θ))(3sec(θ)) dθ = ∫(1/3tan^2(θ))(sec(θ)) dθ, c) the integral in terms of t is: ∫(1/27 - t^2/9)(sec(θ)) dθ + C.
(a) According to the method of trigonometric substitution, the appropriate substitution for this integral is t = 3tan(θ).
To determine the appropriate substitution, we consider the term under the square root: 9 + t^2. By substituting t = 3tan(θ), we can rewrite this term as 9 + (3tan(θ))^2 = 9 + 9tan^2(θ) = 9(1 + tan^2(θ)).
This substitution allows us to simplify the integral and express it solely in terms of θ.
(b) Using the substitution t = 3tan(θ), we can rewrite the given integral in terms of θ as:
∫(1/t^2)√(9 + t^2) dt = ∫(1/(9tan^2(θ)))√(9(1 + tan^2(θ))) (sec^2(θ)) dθ.
Simplifying further, we get:
∫(1/9tan^2(θ))(3sec(θ)) dθ = ∫(1/3tan^2(θ))(sec(θ)) dθ.
(c) To evaluate the integral in part (b), we need to express the answer in terms of t using a triangle.
Let's consider a right triangle where the angle θ is one of the acute angles. We have t = 3tan(θ), so we can set up the triangle as follows:
|\
| \
| \
3| \ t
| \
|____\
9
Using the Pythagorean theorem, we can find the third side of the triangle:
9^2 + t^2 = 3^2tan^2(θ) + t^2 = 9tan^2(θ) + t^2.
Rearranging this equation, we get:
t^2 = 9^2 - 9tan^2(θ).
Now, substituting this expression back into the integral, we have:
∫(1/3tan^2(θ))(sec(θ)) dθ = ∫(1/3(9^2 - t^2))(sec(θ)) dθ.
Therefore, the integral in terms of t is:
∫(1/27 - t^2/9)(sec(θ)) dθ + C.
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someone please help. i will mark as brainliest if right :)
Answer:
The other factor is 5x-2
Step-by-step explanation:
Using the factorisation method:
Two numbers that multiply to give -10 and add to give +3:
+5 and -2
\(5x^{2} +5x-2x-2\)
\(5x(x+1) -2(x+1)\)
\((x+1)(5x-2)\)
So the other factor is 5x-2
I'm not sure about the second part of the question but I hope you understood how to deal with the first part.
How many possible outcomes are there in the outcomes space? 30 Hot PCOS Plot How many elements are in the event of getting different numbers without repetitions? 6 64 3 How many elements are in the event of getting different numbers without repetitions but the second number must be a 4?
The summary of the results is as follows:How many possible outcomes are there in the outcomes space.- 36 How many elements are in the event of getting different numbers without repetitions. - 30 How many elements are in the event of getting different numbers without repetitions but the second number must be a 4? - 6
There are six possible outcomes in the outcomes space. Let us solve each part of the question.How many possible outcomes are there in the outcomes space?The possible outcomes in the outcomes space for the given problem is calculated by multiplying the number of outcomes of the first roll by the number of outcomes of the second roll.Number of possible outcomes of each roll
= 6 (as there are six faces on a dice)Total possible outcomes in the outcomes space
= 6 × 6
= 36So, there are 36 possible outcomes in the outcomes space.How many elements are in the event of getting different numbers without repetitions?In this case, the two rolls are independent. This means the first roll doesn't affect the second roll. Thus, all possible outcomes with different numbers are 6 × 5
= 30. So, there are 30 elements in the event of getting different numbers without repetitions.How many elements are in the event of getting different numbers without repetitions but the second number must be a 4?In this case, we can have any one of the six numbers in the first roll. Then, only one number 4 is left for the second roll. Thus, there are 6 possible outcomes where the second number is a 4. Hence, there are 6 elements in the event of getting different numbers without repetitions but the second number must be a 4.The summary of the results is as follows:How many possible outcomes are there in the outcomes space.- 36 How many elements are in the event of getting different numbers without repetitions. - 30 How many elements are in the event of getting different numbers without repetitions but the second number must be a 4? - 6
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Beinggreat78 can you pls answer for me?! Or someone who is good at Algebra! PLEASE HELP ME!! :(
Answer:
you have the correct answers
Step-by-step explanation:
you already have the right answers