Which is closest to 8?
√9
√17
√65
√72
5. The population of Haleyville, Alabama was 4,403 in 2010. Haleyville has been experiencing a population decline of 0.6% per year since 2000. What will be the projected population of Haleyville in 2020?
The projected population of Haleyville in 2020 is 4139.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Population in 2010 = 4403
The decline in population per year = 0.06%
Now,
The population in 2020.
There are 10 years between 2010 and 2020.
The function used to find the population after x years.
= 4403 x [tex]0.994^x[/tex]
Now,
x = 10
= 4403 x [tex]0.994^{10}[/tex]
= 4403 x 0.94
= 4139
Thus,
The population in 2020 is 4139.
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Layla leans a 26-foot ladder against a wall so that it forms an angle of 61° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest tenth of a foot if necessary.
Step-by-step explanation:
Calculate the approximate value: 26 x 0.87462
Calculate: 22.74012
Round 22.74012 to the required place
Answer:22.7
Hope this helps
Solve each by elimination
-3x + 4y = 29
3x + 2y = -17
Answer:
point form is: (-7,2)
equation form is: x = -7, y = 2
Step-by-step explanation:
add the equations in order to solve for the first variable. plug this value into the other equations in order to solve for the remaining variables
pls mark as brainliest lol
Mason worked at the water park over the summer. He made $425 in June and $680 in July if he made twice as much money in august as he did june. What is the ratio of money earned in august to July
The ratio of money earned in August to July is 5/4.
Now, According to the question:
Let's know
What is Ratio?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
Mason worked at the water park over the summer. He made $425 in June and $680 in July.
And if he made twice as much money In August as he did in June.
That means, he made $850 in August.
Then, The ratio will be :
= August / June
= 850/680
= 5/4
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A line starts at (negative 2, 0), goes to (5, question mark), and then goes down to (6, 0).
What would the height need to be for this curve to be a density curve?
One-fourth
One-half
StartFraction 1 Over 8 EndFraction
StartFraction 1 Over 16 EndFraction
answer is one fourth
What the height would need for this curve to be a density curve is; One-half
How to interpret Density Curves?The criteria for a curve to be a density curve is as follows;
1. The curve must always be non-negative. This tells us that the y-value of the curve must be greater than or equal to 0 at every given point.
2. The area under the curve must always be equal to 1.
Now, we are told that the curve starts at (-2, 0) and then goes to (5, question mark), and then goes down to (6, 0),.
This means that the area under the curve will be a trapezoid that has a height of question mark and then bases of length 3 (from -2 to 5) and length 1 (from 5 to 6).
The area of this trapezoid will be equal to the sum of the bases times the height divided by 2, or:
Area = ((3 + 1) × question mark)/2
Since the area under the curve must be equal to 1, we can set up the equation:
1 = ((3 + 1) × question mark) / 2
Solving for question mark, we will:
The question mark = 2/4
The question mark = 1/2
Therefore, we can conclude that the height of the curve is 1/2
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If you have 20 balls (10 black, 10 white) and two urns, how could you place the balls into the urns so as to maximize your chance of drawing a black ball
To fill one urn with one white ball and the second urn with the remaining nine white and ten black balls.
Explain about the probability?Probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. A coin flip is the most basic illustration. There are only two outcomes that can occur when you flip a coin: either heads or tails.
The basic probability formula is: Probability = Number of Favorable Outcomes / Total Number of Outcomes. or P(A) = f/N
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HELP its due today Please help!!!!!!!!!!!
Identify the range of the function shown in the graph.
the range of the function shown in the graph -1 [tex]\leq[/tex] y[tex]\leq[/tex] 1.
What is the sine and cosine graph's range?All real numbers fall within the domain of the sine and cosine functions. Both the sine and cosine functions have a range of [1,1]. An angle's sine and cosine have the same absolute value as their respective reference angles.
What is a cosine graph's range?An illustration of the function's range in the graphs of cos and sine
The cosine function's graph appears as follows: The range of the function y=cos(x) is 1y1, and the domain is all real numbers (cosine is defined for any angle measure).
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PLEASE HELP ASAP I WILL GIVE BRAINLIEST!!!
Answer:
try -5
Step-by-step explanation:
mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further
Answer:try -5
Step-by-step explanation:
mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further
Write the explicit formula for the sequence below:
The explicit formula for the sequence -28, -31, -34, -37, ..., is aₙ= -28 -3d.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
-28, -31, -34, -37, ...
The general formula of an arithmetic sequence:
aₙ= a₁ + (n)d,
where a₁ is the first term and d is the common difference.
First, we will find the common difference between consecutive terms.
Here,
a₁ = -28
To find the common difference:
a₂ - a₁ = -31 + 28 = -3
a₃ - a₂ = -34 + 31 = 3
a₄ - a₃ = -37 + 34 = 3
Hence, d = -3.
Substitute the values to the formula,
aₙ= a₁ + (n)d,
aₙ= -28 + (-3)d,
aₙ= -28 -3d
Therefore, aₙ= -28 -3d is the required sequence.
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20 Basketball players form teams of 5 players each player can play any position how many teams of 5 players can be formed?
Answer:
4
Step-by-step explanation:
:)
A magazine rack contains 5 sports magazines, 7 news magazines, and 10 fashion magazines. After a magazine is chosen, it is not replaced. Find the probability of randomly choosing two fashion magazines.
PLS HELPPPP Given: 4
if a mom has 3 kids who are 18, 16, and 26 how old is the mother
and how old was she when she gave birth
30 POINTS BEST ANSWER WILL GET BRAINLIEST
Answer:
46 i think because 20+26 is 46
A+school+is+going+on+a+trip.+There+will+be+3+buses+to+take+students.+On+each+bus,+there+are+80+seats.+Teachers+will+sit+in+3+of+the+seats+on+each+bus.+How+many+seats+are+available+for+students+on+the+buses? A. 240 B. 231 C. 83 D. 77
The solution is Option B.
Number of seats for the students is given by the equation A = 231 seats
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of seats for the students be A
Now , the equation will be
The total number of buses = 3 buses
The total number of seats on each buses = 80 seats
So , the total number of seats = number of buses x number of seats on each buses
Substituting the values in the equation , we get
The total number of seats = 80 x 3
The total number of seats = 240 seats
Now , the teachers has 3 seats each on 3 buses
So , the number of seats for teachers = 3 x 3 = 9 seats
And , the remaining number of seats = total number of seats of students
The total number of seats for students A = total number of seats - number of seats for teachers
Substituting the values in the equation , we get
The total number of seats for students A = 240 - 9
The total number of seats for students A = 231 seats
Therefore , the value of A is 231 seats
Hence , the number of seats for students is 231 seats
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Find the lengths of the diagonals of rectangle WXYZ.
WY = 14x + 10
XZ = 11x + 22
The length of each diagonal is
units.
The length of each diagonal is √(196x^2 + 816x + 324) units.
What is the formula for diagonal length?The diagonal of a rectangle can be estimated using the hypotenuse formula, such as using the Pythagorean theorem calculator.
WX^2 = WY^2 + XZ^2
Given that WY = 14x + 10 and XZ = 11x + 22, we can substitute those values in the equation:
WX^2 = (14x + 10)^2 + (11x + 22)^2
WX^2 = 196x^2 + 816x + 324
WX = √(196x^2 + 816x + 324)
The same goes for the other diagonal, WZ.
WZ = √(196x^2 + 816x + 324)
So, the length of each diagonal is √(196x^2 + 816x + 324) units.
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What is inverse property in math?
Answer:
The inverse property definition states when added together with its additive inverse, the sum of the two numbers will be zero. When a number is multiplied by its multiplicative inverse, the product will be one
Step-by-step explanation:
Negative Vectors: Mastery Test
2
Type the correct answer in each box. Round your answers to two decimal places.
Subtract vector va <2,-3> from vector u <5,2>
The magnitude of the resulting vector, u - v, is approximately
and its angle of direction is approximately
Reset
Next
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help pls!!!
graph the following inequalities on the number line provided.
step 1: plot the endpoint on the number line. Hint: Remember to think about the endpoint as an open or a closed cricle.
step 2: shade line to match the direction of the inequality.
A x>-2 (the numberlines for all starts from -8 to +8, just tell me where to plot them)
B x<-2
C x<= -1
D x>=0
Answer:
A: open circle above -2 arrow going to the right until +8
B: Open circle above -2 arrow going to the left until -8
C: Closed circle above -1 arrow going to the left until -8
D: Closed circle above 0 arrow going to the right until +8
Step-by-step explanation:
Ella bought a book whose original price was $19.89. She used a coupon
to get a 30% discount. Which of the following is a reasonable estimate of
the selling price of the book?
Answer:
the answer is 6.63
A standard deck of 52 cards contains four suits: clubs, spades, hearts, and diamonds. Each deck contains an equal number of cards in each suit. Rochelle chooses a card from the deck, records the suit, and replaces the card. Her results are shown in the table. Cards Suit Observed Frequency Clubs 29 Spades 13 Hearts 15 Diamonds 23 How does the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart
The theoretical likelihood of selecting a heart is 1/16 times higher than the actual likelihood.
In the given question, we have to find the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart.
We are aware that a deck's total number of cards= 52
Total number of hearts = 13
Then the theoretical probability of getting a heart = Number of cards have hearts/Total cards
Then the theoretical probability of getting a heart = 13/52
Then the theoretical probability of getting a heart = 1/4
Then the theoretical probability of getting a heart = 0.25
Cards chosen by Rochelle : Clubs 29, Spades 13, Hearts 15, Diamonds 23
Total cards = 80
The experimental likelihood of experiencing a heart attack = Number of cards have hearts/Total cards
The experimental likelihood of experiencing a heart attack = 15/80
The experimental likelihood of experiencing a heart attack = 3/16
The experimental likelihood of experiencing a heart attack = 0.185
Since, 0.25 > 0.1875 so, Theoretical probability > Experimental probability
and,
Theoretical probability = 0.25-0.1875
Theoretical probability = 0.0625
Theoretical probability = 625/10000
Theoretical probability = 1/16
Hence, the theoretical likelihood of selecting a heart is 1/16 times higher than the actual likelihood.
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In the following set of side lengths of a right angle triangle, which number would represent the length of the hypotenuse?? 3 cm, 4 cm, 5 cm
Answer:
5cm
Step-by-step explanation:
The hypotenuse is the longest side of the triangle
Please help fast.
Will mark brainliest.
Answer:
Both
Step-by-step explanation:
You can find both from the given 85
For a given recipe, 9 cups of flour are mixed with 18 cups of sugar. How many cups of sugar should be used if 15 cups of flour are used?
Answer:
7.5 cups of sugar
Step-by-step explanation:
You should use proportions to find the answer.
9/18 = 15/x
Cross multiply:
9*15 = 135
135/18 = 7.5
Because half of 18 is 9, you just need to find half of 15, which is 7.5.
whats the domain and range?
Answer:
Dom = R - {-4}
Range = R - {0}
Step-by-step explanation:
AB is a straight line. Work out the size of angle k
Answer:
35°
Step-by-step explanation:
180 degrees is the total sum of the angles in a triangle.
180° - 130° = 50°
180° - 85° = 95°
50° + 95° = 145°
180° - 145° = 35°
Please help I’ll give you Brainlyest
Find m
120
123
126
116
pls help me on this question
1) false
2) false
3) true
4) true
5) true
Answer:
1 false,2 false,3 true,4 true,5 true
Tierra is making steps for a doll house. She has cut a piece of wood that measures 1. 5 centimeters wide and 30 centimeters long. Each step will measure 15 millimeters by 4 millimeters. She will make 21 steps for her doll house. Which are the dimensions of the wood that remains after Tierra finishes making the 21 steps?
The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm
In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape.
A square has sides of equal dimensions.
A rectangle has length and width as its dimensions that define the area of a rectangle.
Also, dimension is used widely to term the figure as one-dimensional, two-dimensional or three-dimensional.
Wood = 1.5 cm by 30 cm
Each cut = .15 mm by 4 mm
Steps = 21
The remaining dimension is calculated as:
Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm
Express mm as cm
Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm
Evaluate the difference
Remaining = 1.185 cm by 21.6 cm
Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm
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