Answer:
Step-by-step explanation:
Derek only had time to visit 90% of the exhibits at Aquaworld Aquarium. If Derek visited 36 exhibits, how many exhibits does the aquarium have?
Answer: 4 left
Step-by-step explanation:
36 divided by 90% = 40
40-36=4
if individuals ii-3 and ii-4 have a child, what is the probability that the child is not affected by the disorder?
The probability that the child is not affected by the disorder is \frac{5}{6}
Probability is simply the likelihood of something occurring.
It is an autosomal recessive disorder because all of the defective ones are recessive. So, when a 2nd generation 3rd individual marries a 2nd generation 4th individual, the probability of their child having a genetic disease is [tex]\frac{1}{6}[/tex]. The parents must be heterozygous for the child to be diseased, and the probability of an individual being heterozygous is [tex]\frac{2}{3}[/tex]. 2nd generation, 3rd individual, and the probability of disease in the child is [tex]\frac{1}{4}[/tex], so [tex]\frac{2}{3} *\frac{ 1}{4} = \frac{1}{6}[/tex].
As a result, the probability of a child having a genetic disorder is [tex]\frac{1}{6}[/tex].
then the probability of child not having any genetic disorder is [tex]1-\frac{1}{6} =\frac{5}{6}[/tex].
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y = 2x - 3
4x = 2y + 6
Answer:
infinite solutions
Step-by-step explanation:
4x=2(2x-3)+6
4x=4x-6+6
4x=4x
these are the same lines so there are infinitely many solutions
hopes this helps
in a certain amount of time, a plane traveling at a constant $250$ miles per hour traveled $20,\!000$ feet. in this same amount of time, how many feet would a plane traveling at a constant $400$ miles per hour travel?
At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.
The speed of an object is the ratio of distance and time it takes for the object to travel that distance.
Mathematically,
S = D/T
where
S is velocity
D is the distance traveled or distance traveled
T is the time it takes to travel that distance
Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.
If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.
Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.
Mathematics,
a = v/t
When an object is in motion, its acceleration is never zero.
When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.
Given in the question:
First the plane was travelling at a constant rate of 250 miles per hour.
Initial height was 20000 feet
Now,
As the speed increases and travels at a constant rate of 400 miles per hour.
Now,
(400 /250 ) × 20000
= 1.6 × 20000
= 32000 feet
Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.
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Solve
3(2x + 9) = 24
Solve
4x - 2 = 10x + 1
3x - 4(2x + 1) = 10
Solve
3x + 10 = 19
Answer:
x = -1/2 x = -1/2 x = -14/5 x = 3Step-by-step explanation:
1) 3(2x + 9) = 24, find x?
→ 3(2x + 9) = 24
→ 6x + 27 = 24
→ 6x = 24 - 27
→ x = -3/6
→ [ x = -1/2 ]
Hence, value of x is -1/2.
2) 4x - 2 = 10x + 1, find x?
→ 4x - 2 = 10x + 1
→ 4x - 10x = 1 + 2
→ -6x = 3
→ x = -3/6
→ [ x = -1/2 ]
Hence, value of x is -1/2.
3) 3x - 4(2x + 1) = 10, find x?
→ 3x - 4(2x + 1) = 10
→ 3x - 8x - 4 = 10
→ -5x = 10 + 4
→ [ x = -14/5 ]
Hence, value of x is -14/5.
4) 3x + 10 = 19, find x?
→ 3x + 10 = 19
→ 3x = 19 - 10
→ x = 9/3
→ [ x = 3 ]
Hence, value of x is 3.
What is the square number of 13?
Answer: If you wanted to know what 13x13, or the square of something is, then the value is 169. Or if you wanted to know the square root of 13, it would be about 3.606.
Step-by-step explanation: A square number is any number multiplied by itself = that number. For example, 12x12 = 144, which means the square root of 144 is 12, and the square number of 12 is 144.
One spring day, Andres noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 60° F. For the next 9 hours, the temperature rose 2° every 3 hours. For the next 2 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 1° per hour. The temperature then dropped steadily until the temperature was 66° at midnight. On the set of axes below, graph Andres's data.
The graph of the piece-wise function containing Andres's data is given by the image at the end of the answer.
What is a piece-wise function?A piece-wise function is a function that has different definitions, based on it's input.
The variables in this problem are given as follows:
x: number of hours after 6 a.m.T(x): temperature on hour x.At 6 a.m., the temperature was 60° F, hence the intercept is of:
(0,60).
For the next 9 hours, the temperature rose 2° every 3 hours, hence a line is traced connecting these two points:
(0, 60) and (9, 66).
For the next 2 hours, it rose 2° per hour, hence these two points are connected:
(9, 66) and (11,70).
The temperature then stayed steady until 6 p.m, hence these two points are connected:
(11,70) and (12,70).
For the next 2 hours, the temperature dropped 1° per hour, hence the points at:
(12,70) and (14,68).
The temperature then dropped steadily until the temperature was 66° at midnight, then the points are:
(14,68) and (18,66).
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Debbie rides her bike to school every day. On monday, she rode 1. 5 miles to school in 10 minutes. On her way home, she took a different route through a park, and rode 3 miles in 15 minutes. On which route did debbie ride at a faster pace? going to school going home submit.
The pace or speed of Debbie during rides with her bike is greater on the way of going to home from School.
So, her pace is faster on the way of going to home .
We have given that,
Debbie ride 1.5 miles to school in 10 minute
As we know that 10 minute = 10/60⇒1/6 hour
As we know that
Speed = distance /time or S = D/T
So, the speed at which Debbie ride to school with first route,
S=1.5/1/6 => 9 mile per hour
Now, On her way home, she took other route and
she rides, 3 mile in 15 minutes,
As 15 minutes = 15/60 => 1/4 hour
Speed of Debbie of her way home
S' = 3/1/4 => 12miles per hour
As we see that S' > S
So, Debbie rides faster on her way to home.
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evaluate 24 - 2³ . 2
Answer:
8
Step-by-step explanation:
solve the 2 cube first = 8
then solve the .2 with 8 = 16
then minus 24
24-8.2
24-16
8
Consider the line y = 2x - 3. Write the equation of the line that is PERPENDICULAR to this line and that contains the point (-5, 3)
Answer:
Read carefully each step for your fully understand it.
Step-by-step explanation:
To find the equation of a line that is perpendicular to the line y = 2x - 3 and contains the point (-5, 3), we need to find the slope of the perpendicular line.
To find the slope, we use the negative reciprocal of the slope of the given line. The slope of the given line is 2, so the slope of the perpendicular line is -1/2.
We can then use the point-slope formula to find the equation of the line that is perpendicular to y = 2x - 3 and contains the point (-5, 3).
The point-slope formula is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values, we get:
y - 3 = -1/2 (x + 5)
We can then simplify this equation to get the final equation:
y = -1/2 x - 11/2
Therefore, the equation of the line that is perpendicular to y = 2x - 3 and contains the point (-5, 3) is y = -1/2 x - 11/2.
A department store buys 400 shirts at a cost of $ 7200 and sells them at a selling price of $20 each. Find the percent markup.
Answer:
the mark up is 2$
Step-by-step explanation:
each shirt was baught for 18$ divide 7200 by 400
The functions u and w are defined as follows.
u(x) = -2x+1
w(x) = -2x²-1
Find the value of u (w (2)).
u (w (2)) = 0
Answer:
[tex]u(w(2) = 19[/tex]
Step-by-step explanation:
let's evaluate w(2) first
[tex]w(2) = - 2(2) {}^{2} - 1 = - 9[/tex]
at this point let's replace thia value in u(x)
[tex]u( - 9) = - 2( - 9) + 1 = 19[/tex]
What was Veronica’s mistake
By using the concept of distance, it can be calculated that
Veronica's mistake was that the number of animals seen per kilometer was not calculated by her. Arrangement was made on the basis of animals seen
What is distance?
Distance is the length of the path travelled by an object during its motion.
Here,
For River Edge
Number of animals seen = 8
Length of hike = 3 km
Number of Animals seen per km = [tex]8 \div3[/tex] = 2.67
For Wooden Marsh
Number of animals seen = 24
Length of hike = 8 km
Number of Animals seen per km = 24 [tex]\div[/tex] 8 = 3
For Canyon Creek
Number of animals seen = 35
Length of hike = 15 km
Number of Animals seen per km = [tex]35 \div 15[/tex] =2.33
Number of animals in ascending order are 2.33, 2.67, 3
Canyon Creek, River Edge, Marshy Land is the required arrangement from the least to the greatest.
Veronica's mistake was that the number of animals seen per kilometer was not calculated by her. Arrangement was made on the basis of animals seen
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Complete Question
Veronica went on three hikes. On each hike, she saw the following numbers of animals:
Rivers Edge 3 8
Wooded Marsh 8 24
Canyon Creek 15 35Veronica tried to order the hikes from least to greatest by number of animals seen per kilometer, but she made a mistake. Here's her work:
least greatest
8 24 35
rivers edge wooded marsh canyon creek
What was Veronica's mistake?
The first equation from the previous system of equations is graphed. Graph the second equation to find the solution of the system of equations.
y = −2x + 4,
y = − 1/3x − 1
What is the solution to the system?
The system of equations y = 2x + 4 when graphed have a solution that y = − (1/3)x − 1 is (3, - 2)
A straight line's general equation is -
y = (m)x + c
where -
The slope of the line, [m], indicates the unit rate at which [y] changes in relation to [x].
The y-intercept, or the place where the graph crosses the [y] axis, is represented by [c].
A straight line's equation can also be expressed as -
Ax + By + C = 0
By = - Ax - C
y = [tex](\frac{A}{B} - \frac{B}{C})x - \frac{A}{C}[/tex]
The set of equations is as follows:
y = − 2x + 4
AND
y = − [tex](\frac{1}{3} )[/tex]x − 1
Draw the graphs for these two equations. The answer to this system of equations would be near the intersection. Please see the following graph. These lines come together at (3, - 2)
As a result, y = 2x + 4 and is the system of equations that has been solved.
y = − [tex](\frac{1}{3} )[/tex]x − 1 is (3, - 2)
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solving linear equations: joanne has job offers at two companies. one company offers a starting salary of 28,000 with a raise of 3,000 each year. the other offers a starting salary of 36,000 with a raise of 2,000 each year. after how many years would joanne's salary be the same with the both companies?
Answer: 8 years for her salary to be the same at both companies.
Step-by-step explanation:
To solve this problem, we can set up a system of linear equations to represent the salaries at each company. Let's say that the first company's salary is represented by the variable x, and the second company's salary is represented by the variable y. Since the first company offers a starting salary of $28,000 with a raise of $3,000 each year, we can represent this with the equation x = 28,000 + 3,000 * t, where t represents the number of years. Similarly, the second company offers a starting salary of $36,000 with a raise of $2,000 each year, so we can represent this with the equation y = 36,000 + 2,000 * t.
Since we want to find the number of years it will take for Joanne's salary to be the same at both companies, we can set the two equations equal to each other and solve for t:
x = 28,000 + 3,000 * t
y = 36,000 + 2,000 * t
x = y
28,000 + 3,000 * t = 36,000 + 2,000 * t
We can solve this equation by combining like terms on both sides of the equation:
28,000 + 3,000 * t = 36,000 + 2,000 * t
-8,000 = -1,000 * t
Dividing both sides of the equation by -1,000, we get:
8,000 = t
Thus, it will take Joanne 8 years for her salary to be the same at both companies.
Answer:
8 years
Step-by-step explanation:
y = salary
x = years
1st company: y = 3,000x + 28,000
2nd company: y = 2,000x + 36,000
3000x + 28000 = 2000x + 36000
subtract 2000x on both sides
1000x + 28000 = 36000
subtract 28000 on both sides
1000x = 8000
divide 1000 on both sides
x = 8
Out of the 442 Star Wars fans at a Star Wars convention, fans said they thought Baby Yoda was cuter than a Porg at a ratio of 12:5.
Answer:
442 ÷ (12+5) = 26
26 × 12 = 312, 312 ppl think yoda was cuter
26 × 5= 130, 130 ppl think Porg was cuter
A certain fossil of a beetle contains 15% as much carbon as a living beetle. The age of the fossil can be found using carbon dating.
Calculate the age of this fossil given that the half life of carbon-14 is 5715 years.
Answer:
The amount of carbon-14 in the fossil is 15% of the amount of carbon-14 in a living beetle.
This means that the amount of carbon-14 in the fossil is 0.15 * the amount of carbon-14 in a living beetle.
The age of the fossil can be found by dividing the half-life of carbon-14 by the logarithm of the ratio of the amount of carbon-14 in the fossil to the amount of carbon-14 in a living beetle.
This means that the age of the fossil is 5715 years / log(0.15).
The age of the fossil is approximately 5715 years / -1.1761.
Therefore, the age of this fossil is approximately <<4895.4683=4895>>4895 years.
Sonya walks on a treadmill at a constant rate of 3.5 miles per hour. A graph showing the relationship between the time she walks and the distance she travels passes through the origin and through the point (1, 3.5). Name three other points that lie on the graph.
The other two points on the line are (2, 7) and (4, 14).
What is the slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
Given, Sonya walks on a treadmill at a constant rate of 3.5 miles per hour
it is the slope.
∴ The equation of this line passing through point (1, 3.5) is,
3.5 = 3.5(1) + b.
b = 0.
So, y = 3.5x.
Now the other points can be obtained by choosing some integer values of x.
When x = 2, y = 7 ⇒ (2, 7).
When x = 4, y = 14 ⇒ (4, 14).
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Using the graphical method, solve the simultaneous equations: x + y = 3, 3x + y = 5
Answer: (1,2)
Step-by-step explanation:
1)
x+y=3
y=-x+3
x | 0 | 3 |
y | 3 | 0 |
2)
3x+y=5
y=-3x+5
x | 0 | 2 |
y | 5 | -1 |
WILL GIVE 20 POINTS
Margaret identified the different transformations of graphs. She made at least one mistake. For each transformation, identify whether she made a mistake and, if so, correct her error.
There is no error by Margaret identifying the different transformations of graphs
What are different transformations of graphs?The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.
Reflections, rotations, and translations are the three fundamental rigid transformations. Dilation is a fourth frequent transition.
Vertical Reflection: Mirror images are produced by reflections. Imagine the graph "folding" over the x-axis.
Horizontal reflection: Mirror images make up reflections. Imagine the graph "folding" over the y-axis.
Vertical Shift: This translation "slides" up or down in a straight line.
• The graph is translated upward by k units if k > 0.
• If k is less than 0, the graph descends by k units.
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2x-6(3x+8)=-208 please help i dont know howww
What is 3w+9+2w-24=180
Answer:
w = 39
Step-by-step explanation:
3w + 9 + 2w - 24 = 180 , that is
5w - 15 = 180 ( add 15 to both sides )
5w = 195 ( divide both sides by 5 )
w = 39
Please help me it says;
Use the pattern below to determine how many gray squares there would be if there are 15 white squares.
- click photo to see actual question / picture
-*I need help asap please!! thank you
The number of gray squares for 15 white squares based on the given ratio will be 25.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
Number of white squares = 3
Number of gray squares = 5
The ratio of gray squares to white = 5/3
With maintaining the same ratio,
Let's say the number of gray squares for 15 white squares will be x.
The ratio of gray squares to white will be as x/15
Both ratios must be the same for the same pattern.
x/15 = 5/3
x = (5/3)15 = 25
Hence "On the basis of the specified ratio, there will be 25 gray squares for every 15 white squares.".
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Can 2 similar triangles be the same size?
Answer:Yes
Step-by-step explanation:If two triangles have the same size and shape they are called congruent triangles.
How do you find Q1 and Q3?
To find Q1 and Q3, you must first arrange the data in numerical order. Once the data is in order, you will need to determine the median of the data set.
To calculate the median, count the total number of data points, divide it by two, and round down to the nearest whole number under numerical order. This number will be the median.Q1 is the median of the lower half of the data set, while Q3 is the median of the upper half of the data set. To calculate these, divide the data set into two halves, calculate the median of each half, and then take the median of those two numbers.
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a florist determines the probabilities for the number of flower arrangements they deliver each day. x 19 20 21 22 23 p ( x ) 0.21 0.23 0.30 0.13 0.13 find the mean, variance, and standard deviation of the distribution rounded to 4 decimal places.
For the given distribution the mean is 20.74 , the variance is 1.652 and the standard deviation is 1.2853 .
In the question ,
probabilities are given ,
the mean is given by the formula,
mean = [tex]\sum[/tex]x*p(x) ,
we get ,
mean = 19*0.21 + 20*0.23 + 21*0.30 + 22*0.13 + 23*0.13
= 3.99 + 4.6 + 6.3 + 2.86 + 2.99
= 20.74
For calculating the Variance we need to subtract the mean for every value x, then we square the result and multiply it by the respectively probability .
19 - 20.74 = -1.74 = (-1.74)²× 0.21 = 0.6357
20 - 20.74 = -0.74 = (-0.74)²× 0.23 = 0.1259
21 - 20.74 = 0.26 = (0.26)²× 0.30 = 0.0202
22 - 20.74 = 1.26 = (1.26)²× 0.13 = 0.2063
23 - 20.74 = 2.26 = (2.26)²× 0.13 = 0.6639
The variance = 0.6357 + 0.1259 + 0.0202 + 0.2063 + 0.6639
= 1.652
the standard deviation = √variance
= √1.652
= 1.2853
Therefore , the values are mean is 20.74 , the variance is 1.652 and standard deviation is 1.2853 .
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What is the slope of the line that contains the points (-4,-2) and (6,3)
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Substituting into the slope formula, [tex]m=\frac{-2-3}{-4-6}=\frac{1}{2}[/tex].
Answer:
1/2
Step-by-step explanation:
Sophia is selling bracelets and necklaces at her stall. She sells each bracelet for $6.25 and each necklace for
$12.50. On a day she sold a total of 15 items and made $125. How many necklaces did Sophia sell?
Answer:
5 necklaces and 10 bracelets
Step-by-step explanation:
Let N and B stand for the numbers of necklaces(N) and bracelets(B) sold. The total sales would be:
Total Sales = 6.25B + 12.50N, whcu we are told amounted to $125:
$125 = 6.25B + 12.50N
We know that B + N = 15.
Rearrange this to isolate B: B = 15-N
Now use this definition of B in the first equation:
$125 = 6.25B + 12.50N
$125 = 6.25(15-N) + 12.50N
$125 = 93.75-6.25N + 12.50N
31.25 = 6.25N
N = 5 necklaces
From B+N = 15, we can find B:
B = 15 - 5
B = 10 bracelets
Check: Do 5 necklaces and 10 bracelets add up to $125??
5*($6.25) + 10*($12.50) = $62.50 + $62.50 = $125 YES
The number of bracelets and the number of necklaces if, Sophia sells each bracelet for $6.25 and each necklace for $12.50, and the total number of items sold is 15, are 10, and 5 respectively.
What is equation?
An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
Sophia sells each bracelet for $6.25 and each necklace for $12.50,
Total number of items sold = 15,
Total income made = $125,
Write the equation as shown below,
x + y = 15
Here, x is the number of bracelets and y is the number of necklaces,
6.25x + 12.5y = 125
Solve the equations by elimination method as shown below,
y = 5 and x = 15 - 5 = 10
Thus, the number of bracelets is 10 and the number of necklaces is 5.
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What is the volume of a cylinder, in cubic feet, with a height of 20 feet and a base diameter of 8 feet? Round to the nearest tenths place
The required volume of the given cylinder is 1005 ft³.
What is a cylinder?One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid.
It is regarded as a prism with a circle as its base in basic geometry.
In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
So, the volume of cylinder formula:
V=πr²h
We have,
Height of 20 ft and diameter of 8 ft.
The radius will be 8/2 = 4 ft.
Now, calculate the volume as follows:
V=πr²h
V=π(4)²20
V=1005.30965
Rounding off: 1005 ft³
Therefore, the required volume of the given cylinder is 1005 ft³.
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refer to question 2 from homework 8. if arnie, barney and carny agree to always bid $l, then on any given day, what is the probability that barney gets the car for $l when it is actually worth $l to him?
When they decide to bid the same then the probability of Barney getting the car is 1/3. The expected profit by Barney will be the difference amount of SL and SH.
Given:
if arnie, barney and carny agree to always bid $l,
, then on any given day, what is the probability that barney gets the car for $l when it is actually worth $l to him = ?
When they choose to place identical bids, Barney has a 1/3 chance of winning the automobile. The difference between SL and SH will represent Barney's anticipated profit.
Hence we get the required answer.
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