Answer:
b.d-6 that's the correct answer
Answer:
it is a
Step-by-step explanation:
2
- A square mirror has an area of 225 ft?
How long is one side of the mirror?
Answer:
15
Step-by-step explanation:
Square area of 225 square feet what is the length of each side.Step 1. Area A=s^2 for a square where s is the side.Step 2. Take the square root to both sides of the equation Step 3: The side is 15 ft for each side.
I’d really appreciate if you were to graph it for me, it’s what I don’t understand, what I do understand is that the graph should go through the points (-8,-4), (-1,-3), and (0,-2)
Step-by-step explanation:
here is the graph for your question.
When x = 3, x² + 3(x + y) = ?
Answer:
9+9+3y= -18
y = -6
y= -6
i hope
One gallon of milk has 128 fluid ounces. How much milk is in 6.5 gallons?
Answer:
832 fluid oz
Step-by-step explanation:
Multiply 128 by 6.5
Answer:
832
Step-by-step explanation:
Multiply 128 by 6.5 gallons
what could be the value of x in the equation x/2+ 15 =64
Answer:
x = 98
Step-by-step explanation:
\(\frac{x}{2}\) + 15 = 64 ( subtract 15 from both sides )
\(\frac{x}{2}\) = 49 ( multiply both sides by 2 to clear the fraction )
x = 98
Record your answers on the answer sheet provided by your teacher or on a sheet of paper.
Suppose two lines intersect in a plane to form four angles.
What do you know about the pairs of adjacent angles formed? Explain.
44339339393888383848448484848484848
you created a scatterplot of miles per gallon against weight; check to make sure it was included in your attachment. does the graph show any trend? if
A scatterplot of miles per gallon (MPG) against weight can reveal the relationship between the two variables. If there is a trend in the graph, it can help us understand the relationship between the two variables.
For example, if the graph shows a negative correlation, meaning that as the weight of the vehicle increases, the MPG decreases, this trend may be what is expected, as heavier vehicles typically have lower fuel efficiency. On the other hand, if the graph shows no trend or a positive trend, it would indicate that weight and MPG are not significantly related, which might not be what was expected.
It is important to keep in mind that a scatterplot can only show the relationship between two variables and cannot provide a definitive explanation of the cause-and-effect relationship between them
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Complete Question: you created a scatterplot of miles per gallon against weight; check to make sure it was included in your attachment. does the graph show any trend? if yes, is the trend what you expected? why or why not?
Please answer this in two minutes
Answer: 9.9
Step-by-step explanation:
SINE RULE:
7/sin(31) = q / sin(47)
Therefore q = 7 / sin(31) * sin(47)
which equals: 9.9 to the nearest tenth.
Answer:
q = 9.9
Step-by-step explanation:
We can use the rule of sines
sin R sin Q
------------- = ------------
PQ PR
sin 31 sin 47
------------- = ------------
7 q
Using cross products
q sin 31 = 7 sin 47
Divide by sin 31
q = 7 sin 47 / sin 31
q =9.939995043
To the nearest tenth
q = 9.9
At a town meeting, the ratio of dark-haired people to blond-haired people to red-haired people is 42 : 37 : 3. If there are 1,312 people at the meeting, how many have each color hair?
Answer:
672 had dark hair, 592 had blond hair, and 48 had red hair
Step-by-step explanation:
To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.
Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:
42 + 37 + 3 = 82
We can then divide 1,312 by 82 to get the scaling factor:
1,312 ÷ 82 = 16
This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.
To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:
Dark-haired people: 42 × 16 = 672
Blond-haired people: 37 × 16 = 592
Red-haired people: 3 × 16 = 48
Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.
What is the midpoint of AB
Answer:
(0,0)
Step-by-step explanation:
a(-1 , 2) & B(1, -2)
Midpoint = \((\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\)
\(= (\frac{-1 + 1}{2},\frac{2 - 2}{2})\\\\= (0,0)\)
has one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.
one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.
What is eigenvalue?
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.
a) -4
b) 1
c) 1
Step-by-step explanation:
a) The matrix A is given by:
\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)
where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:
\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)
and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)
and the roots of this polynomial is:
\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)
hence, the real eigenvalue of the matrix A is -4.
b) The multiplicity of the eigenvalue is 1.
c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)
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Complete Quetion
The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.
Ms. Williams purchased pencils and erasers. Pencils are sold in packages of 8. Erasers are sold in packages of 12. What is the fewest number of packages Mrs. Williams can buy to have an equal number of pencils and erasers?
Answer:
easy amths
Step-by-step explanation:
If each side of a square grows 6 mm, the area of the square is multiplied by 16. How long are the sides of the original square?
Answer:
2 mm
Step-by-step explanation:
Let x be the sides of the original square,
then the area of the original square is x^2
The sides of the new square is x + 6
The area is (x + 6)^2
Then (x + 6)^2 = 16*x^2
Take square root on both sides and get
x + 6 = 4x,
3x = 6
so x = 2 mm
A group of workers can plant at a rate of 14 acres per day. How many acres can they plant in 2 days?
Answer:
28
Step-by-step explanation:
take the 14 acres x 2 beca I use it is 2 days of 14 acres a day...14x2
mary just bought a 20-year bond with an 8oupon rate (paid semi-annually) and $1000 par value for $1050. she is expecting an effective annual yield (eay) of: (round to two decimal places.)
Mary's expected effective annual yield (EAY) is approximately 1.06%.
To calculate the effective annual yield (EAY) of a bond, we need to consider the coupon rate, the purchase price, and the remaining years until maturity.
In this case, Mary bought a 20-year bond with an 8% coupon rate (paid semi-annually) and a $1000 par value for $1050. To calculate the EAY, we can follow these steps:
Calculate the semi-annual coupon payment: 8% of $1000 is $80. Since it is paid semi-annually, the coupon payment for each period is $80/2 = $40.
Calculate the total coupon payments over the 20-year period: There are 20 years, which means 40 semi-annual periods. The total coupon payments will be $40 multiplied by 40, resulting in $1600.
Calculate the total amount paid for the bond: Mary purchased the bond for $1050.
Calculate the future value (FV) of the bond: The future value is the par value of $1000 plus the total coupon payments of $1600, resulting in $2600.
Calculate the EAY using the following formula:
EAY = \((FV / Purchase Price) ^ {(1 / N)} - 1\)
where N is the number of years until maturity.
In this case, N = 20, FV = $2600, and the purchase price is $1050.
Plugging the values into the formula:
EAY = \(($2600 / $1050) ^{ (1 / 20) }- 1\)
Calculating the expression:
EAY = \((2.47619047619) ^ {0.05\) - 1
EAY ≈ 0.0106
Rounded to two decimal places, Mary's expected effective annual yield (EAY) is approximately 1.06%.
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for what value(s) of x is f continuous? f(x) = 0 if x is rational 7 if x is irrationa
f(x) is continuous for all values of x, as it can be evaluated for any real number, including both rational and irrational numbers.
f(x) is continuous for all values of x. This means that the function can be evaluated for any real number, including both rational and irrational numbers.
For rational numbers, f(x) = 0. This is because rational numbers can be expressed as a fraction, and when a fraction is divided by itself, the result is always 1. We can express this mathematically as f(x) = x/x = 1 * 0 = 0.
For irrational numbers, f(x) = 7. This is because an irrational number cannot be expressed as a fraction, and so when an irrational number is divided by itself, the result is undefined. In this case, we can define f(x) as 7, since it is a constant value that is independent of the value of x. We can express this mathematically as f(x) = x/x = undefined * 7 = 7.
Therefore, f(x) is continuous for all values of x, as it can be evaluated for any real number, including both rational and irrational numbers.
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An expression is shown below: square root of 18 plus square root of 2 Which statement is true about the expression? URGENT
it is rational and equal to 3
it is rational and equal to 4
It is irrational and equal to 3 multiplied by the square root of 2 .
It is irrational and equal to 4 multiplied by the square root of 2 .
Answer:
It is irrational and equal to 4 multiplied by the square root of 2.
Therefore, option d is true.
Step-by-step explanation:
As the expression is
'square root of 18 plus square root of 2'.
i.e. \(\sqrt{18}+\sqrt{2}\)
Lets solve the expression
\(\sqrt{18}+\sqrt{2}\)
\(=3\sqrt{2}+\sqrt{2}\) ∵ \(\sqrt{18}=3\sqrt{2}\)
\(\mathrm{Add\:similar\:elements:}\:3\sqrt{2}+\sqrt{2}=4\sqrt{2}\)
\(=4\sqrt{2}\)
or
\(=5.65685\dots\) (in decimal place)
5.65685 indicates that it is irrational and can not be written in the form p/qThus, it is irrational and equal to 4 multiplied by the square root of 2.
Therefore, option d is true.
Answer:
I think it is D
Step-by-step explanation:
The temperature in degrees Fahrenheit, ofa warming room is given by the function F (m) = 2m +58, where m is the number of minutes the room has been warming. (a) Find the value of F (8) - F (2). Show or explain how you found your answer.
The difference between F(8) and F(2) is 12
What are Functions?
A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).
Solution:
Given: Function of Warming Room = F(m) = 2m + 58
To Find: F(8) - F(2)
F(8) = 2*8 + 58 = 16+58 = 74
F(2) = 2*2 + 58 = 4+58 = 62
F(8) - F(2) = 74 - 62 = 12
The difference between F(8) and F(2) is 12
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on an architects blueprint, 1 inch corresponds to 2 feet. Find the length of a wall represented by a line 4 and 1/2 inches long on the blueprint
63001 square root by division method
Answer:
this is a correct answer
calculate the cost of 15 articles at 1.95 each
Answer:
29.25
Step-by-step explanation:
15x1.95= 29.25
Hope this helps :)
if 1 article = 1.95
then if u want to find how much 15 articles = to
you just have to multiply 1.95 * 15 which is equal to 29.25
hope this helps
:)
What is the area of shape b
Answer:
312.5 cm²
Step-by-step explanation:
Since the figures are similar , then
ratio of heights = a : b
ratio of areas = a² : b²
Here linear ratio = 12 : 15 = 4 : 5 , then
ratio of areas = 4² : 5² = 16 : 25
let x be the area of B , the using proportion
\(\frac{200}{16}\) = \(\frac{x}{25}\) ( cross- multiply )
16x = 5000 ( divide both sides by 16 )
x = 312.5
Area of shape B is 312.5 cm²
James is constructing a circle circumscribed about a triangle. He has partially completed the construction, as shown below. What should be his next step in the construction?.
Answer:
The correct answer is A.
Connect the arc markings to complete the perpendicular bisector.
Step-by-step explanation:
find the smallest number that has1 ,2 ,3 ,4 ,5 and as factors. what is the special name for this number?
The smallest number that has 1, 2, 3, 4, 5 as factors is 60. This number is called the LCM (Least Common Multiple) of the given numbers.
The smallest number that has 1, 2, 3, 4, 5 as factors is 60. This number is called the LCM (Least Common Multiple) of the given numbers.The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both of these numbers. We can find the LCM of more than two numbers by following the below procedure:Firstly, find the LCM of two numbers.
This will be the smallest number that is a multiple of both these numbers. Then, find the LCM of this number and the third number. This will be the smallest number that is a multiple of all the three numbers. Repeat the same process for other numbers until we have found the LCM of all the given numbers.
Here, the given numbers are 1, 2, 3, 4, and 5.LCM of 1 and 2 is 2.LCM of 2 and 3 is 6.LCM of 6 and 4 is 12.LCM of 12 and 5 is 60.
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PLEASE HELP!!!!!!
When an archer shoots an arrow, the arrow follows a parabolic path through the air. That parabola can be represented by a quadratic function, where × represents the arrow's horizontal distance from the archer, and y represents the arrow's height above the ground.
1. Philip releases an arrow from a shoulder height of 4 ft.
The arrow reaches a maximum height of 40 ft before it begins to fall. It lands on the ground about 160 ft away from where he is standing. Philip models this situation with a quadratic function. What is a zero of the function? What is the y-intercept of the graph
of the function? Construct a rough graph of the situation based on your findings, where y represents the vertical height, in feet, and x represents the horizontal distance, in feet.
2. Philip shoots an arrow from the top of a hill onto the ground. The flight of the arrow can be modeled with the quadratic function y = -5×2 + 15 + 90, where y represents the vertical height of the arrow, in meters, and x represents the time, in seconds. Use factoring to find the positive zero of the function. What does this zero represent? Then find the maximum value of the function by completing the square. What does the maximum value represent? Explain each step in your answer.
Given statement solution is :-The Quadratic Archer equation representing the arrow's path becomes y = \(ax^2 + bx + 4.\)
The y-intercept is 4 ft.
The positive zero of the function is 6 seconds.
To find the zeros of the quadratic function that represents the arrow's path, we need to determine the points where the arrow hits the ground. In this case, since the arrow lands on the ground about 160 ft away from where Philip is standing, the horizontal distance is x = 160 ft.
Let's assume the quadratic function representing the arrow's path is of the form y = \(ax^2 + bx + c\), where a, b, and c are constants.
Since the arrow starts at a height of 4 ft (shoulder height), we can substitute the point (0, 4) into the equation to find c:
4 =\(a(0)^2 + b(0) + c\)
4 = c
So, the equation representing the arrow's path becomes y = \(ax^2 + bx + 4.\)
Now, we know that the arrow reaches a maximum height of 40 ft. The x-coordinate of the vertex of the parabola gives us the horizontal distance at which the arrow reaches this maximum height. The vertex of a quadratic function in the form y = \(ax^2 + bx + c\) is given by the formula x = -b / (2a). In our case, a = unknown, b = unknown, and c = 4.
To find the value of x, we'll use the fact that the maximum height is reached when the horizontal distance is half of the total distance traveled (160 ft / 2 = 80 ft). So, x = 80 ft.
Now, we can substitute the values x = 80 ft and y = 40 ft into the equation y =\(ax^2 + bx + 4\) to solve for a and b:
40 = \(a(80)^2 + b(80) + 4\)
40 = 6400a + 80b + 4
This gives us one equation with two variables. We need another equation to solve for both a and b.
The y-intercept of the graph represents the height of the arrow when x = 0. From our initial equation y = \(ax^2 + bx + 4\), we know that when x = 0, y = 4. So, the y-intercept is 4 ft.
To construct a rough graph, we can plot the points (0, 4) and (160, 0), which represent the y-intercept and the point where the arrow hits the ground, respectively. We can also plot the point (80, 40), which represents the maximum height reached by the arrow.
Let's start by factoring the quadratic function y = \(-5x^2 + 15x + 90.\) To find the positive zero, we set y = 0:
\(-5x^2 + 15x + 90 = 0\)
Now, let's divide the entire equation by -5 to simplify it:
\(x^2 - 3x - 18 = 0\)
To factor this quadratic equation, we need to find two numbers whose product is -18 and whose sum is -3. The numbers are -6 and 3. So, we can rewrite the equation as:
(x - 6)(x + 3) = 0
Setting each factor equal to zero, we have:
x - 6 = 0 -> x = 6
x + 3 = 0 -> x = -3
Since we're looking for the positive zero, x = 6 represents the solution. This means that the positive zero of the function is 6 seconds.
The zero represents the time at which the arrow hits the ground. In this case, after 6 seconds, the arrow lands on the ground.
Here's a rough graph of the situation:
lua
Copy code
+-----------------+
/ | |
/ | |
/ | |
/ | |
+---------+-----------------+
| 80 | |
| | |
| | |
| | |
| | |
+---------+-----------------+
The Quadratic Archer equation representing the arrow's path becomes y = \(ax^2 + bx + 4.\)
The y-intercept is 4 ft.
The positive zero of the function is 6 seconds.
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The table below shows some inputs and outputs of the invertible function f ff with domain all real numbers.
x: -14,-7,-12,9,10,-2
f(x):11,-12,5,1,-2,13
f^-1(1)+f(−14): ?
f^-1(−2): ?
PLEASE HELP!
Answer: \(f^{-1}(1)+f(-14)=20\)
\(f^{-1}(-2)=10\)
Step-by-step explanation:
The given table :
x: -14,-7,-12,9,10,-2
f(x):11,-12,5,1,-2,13
Since f is invertible ( given) , then \(f^{-1}(x)\) exists.
Now , from table \(f^{-1}(1)=9\) [ x= 9 corresponding to f(x) =1]
\(f(-14)=11\) [ f(x) = 11 corresponding to x=-14]
then, \(f^{-1}(1)+f(-14)=9+11=20\)
So, \(f^{-1}(1)+f(-14)=20\)
Also, x= 10 corresponding to f(x) =-2, then
\(f^{-1}(-2)=10\)
Due Friday by 11:59pm Points 10. Submitting a text entry box, a website url, a media recording, or a file upload Available May 27 at 12am- Jun 3 at 11:59pm 8 days Use the fact that the world immigration to the US was 150 thousand in 2010 and 250 thousand in 2020. (Assume that the growth rate is proportional to the population size.) A) What is the relative growth rate? B) Use the model to estimate the immigration growth in 2021 and to predict the immigration in the year 2025.
A) Relative growth rate is the percentage increase of a quantity over a certain period of time. Therefore, the relative growth rate of immigration from 2010 to 2020 is approximately 66.7%. B) We can predict that there will be approximately 891,631 immigrants in the year 2025.
To calculate the relative growth rate of immigration from 2010 to 2020, we first need to find the difference in the number of immigrants between those two years. 250,000 - 150,000 = 100,000 immigrants Then, we divide this difference by the initial value and multiply by 100 to find the percentage increase. \((100,000/150,000) x 100 ≈ 66.7%\) Therefore, the relative growth rate of immigration from 2010 to 2020 is approximately 66.7%.
B) Use the model to estimate the immigration growth in 2021 and to predict the immigration in the year 2025.If we assume that the growth rate of immigration is proportional to the population size, we can use the following formula to model the growth of immigration over time:I(t) = \(I0e^rt\) Where I(t) is the number of immigrants at time t, I0 is the initial number of immigrants, r is the relative growth rate, and e is Euler's number (approximately equal to 2.71828).Using this formula, we can estimate the number of immigrants in 2021 by plugging in the values we know:\(I(2021) = 250,000 x e^(0.667) ≈ 414,499\) immigrantsTherefore, we can predict that there will be approximately 414,499 immigrants in the year 2021.To predict immigration in the year 2025, we simply need to plug in t = 15 (since we are starting at t = 5, the year 2020):\(I(2025) = 250,000 x e^(0.667 x 15) = 891,631\) immigrants.
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On average, children gain ______ pounds per year during middle and late childhood.
A. 1 to 2
B. 2 to 3
C. 5 to 7
D. 7 to 10
On average, children gain 2 to 3 pounds per year during middle and late childhood. Children in middle and late childhood grow in height and weight at a steady pace.
Children in this stage of life generally add 2 to 3 inches in height each year and gain 2 to 3 pounds in weight each year. Children's weight gain is more noticeable in the torso and legs. Children may have weight gain spurts during these years, however, children are typically gaining weight at a constant pace.
During middle and late childhood, children's metabolism slows down, which makes them gain weight. The decrease in metabolism, which occurs in the second year of life, causes the child to consume more calories than they burn.
Furthermore, children's appetite increases as they become more active in sports and physical activities. These activities require more energy, causing the child to crave more food, especially high-calorie foods and snacks.
Additionally, children are influenced by environmental factors such as family eating habits and social settings that play a vital role in promoting healthy eating habits.
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Write the equation of the line that passes through the points (-8, -1) and (5-7).
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=54°, and EF = 39 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
yuphsjsjanananajqjqjwjejreis
Answer:
28.3
Step-by-step explanation: