The equations that can be used to solve for y, the length of the room are y * (y - 5) = 750, y^2 - 5y = 750 and (y + 25)(y – 30) = 0
Which equations can be used to solve for y, the length of the room?From the question, we have the following parameters that can be used in our computation:
Area = 750
Length = y
Width = y - 5
The area is the product of the length and the width
So, we have
y * (y - 5) = 750
When expanded. we have
y^2 - 5y = 750
Lastly, we have
(y + 25)(y – 30) = 0 -- when factored
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Women in the age group of 20-29 have total cholesterol levels with a mean of 183 mg per dl and the standard deviation of 37. 2mg per dl. if 250 women were randomly selected about how many would you expect to have a total cholesterol level greater than 240mg/dl?
Answer:
Sidama Cofee Football Team, the Ethiopian premier league club in Yiregalem, plays 70 percent of their games at night and 30 percent during the day. The team wins 50 percent of their night games and 90 percent of their day games. According to today’s news, they won yesterday. What is the probability the game was played at night?
For each graph below, state whether it represents a function. I don’t know if I got these right.
Answer:
you got them all right except graph 4 is a function! The trick is to use the vertical line test. Put your pencil vertically on your paper and move it across the graph. If your pencil passes through the same point twice, it's not a function. :)
Step-by-step explanation:
You need to arrange 7 of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you?
There are 5,040 different ways you can arrange your 7 favorite books on the small shelf.
The organization or positioning of a group of items or components in relation to one another is referred to as an arrangement. It can be used in a variety of situations, such as mathematics, art, or event planning, and can relate to the arrangement, positioning, or grouping of things.
The number of different ways you can arrange 7 books in a specific order is given by the permutation formula:
P(7,7) = 7!
where "!" denotes the factorial operation.
Thus, the number of ways you can arrange your 7 favorite books along a small shelf, assuming that the order of the books makes a difference to you, is:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040
Therefore, there are 5,040 different ways you can arrange your 7 favorite books on the small shelf.
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which can be represented using the product (50)*(-5) ?
The expression that can be represented by product (50)*(-5) is 250
Which expression represented using the product (50)*(-5) ?Any number that can be expressed as the product of 50 and -5 can be represented using the expression (50)*(-5).
For example, if we multiply 50 and -5, we get -250. Therefore, -250 can be represented using the expression (50)*(-5).
Similarly, if we multiply 50 and -5 by any other number, we can represent the product using the expression (50)*(-5).
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What is the volume of the following rectangular prism? 3 1/3 1 2/5
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
please help!!!!!!!!!!!
The value of x in the given diagram is 12.
option C.
What is the value of x?The value of x in the given diagram is calculated by apply the principle of intersecting chord theorem as shown below;
The intersecting chord theorem states that angle formed at the circumference is twice the angle at the tangent.
the angle at circumference = 360 - (6 + 20x)
tangent angle = 4x + 9
360 - (6 + 20x) = 2 (4x + 9)
360 - 6 - 20x = 8x + 18
-28x = -336
x = 336/28
x = 12
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Find the Fourth vertex
The vertex of the parallelogram is (5, 13)
We know that in a parallelogram the opposite sides are equal
AB=√(-3-4)²+(-6+3)²
=√49+9
=√58 units
BC=√(6-4)²+(2+3)²
=√4+25
=√29 units
AD=√(-3-x)²+(-6-y)²
AD=√58 units
√58 units=√(-3-x)²+(-6-y)²
58 units=(-3-x)²+(-6-y)²
Now CD=√(6-x)²+(2-y)²
29 units=(6-x)²+(2-y)²
x=5 and y=13 satisfies the equation
Hence, the vertex of the parallelogram is (5, 13)
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Complete the ratio table
x2+10x+=()2
step by step
The value of the expression x² + 10x, when x = 2 is 24.
In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:
x² + 10x = 2² + 10(2)
Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.
10(2) means 10 multiplied by 2, which is 20.
So we can substitute these values in the expression:
x² + 10x = 2² + 10(2)
= 4 + 20
= 24
Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.
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The complete question:
Evaluate the expression x² + 10x, when x = 2.
Complete the following statement. Write your answer as a decimal or whole number.
% of $800,000 = $360,000
Submit
Answer:
45%
Step-by-step explanation:
Divide $360,000 by $800,000 to find the percentage
360,000/800,000=.45
To conver the decimal to a percentage, move the decimal point two places to the right, so .45 becomes 45%
CAN SOMEONE HELP WITH THIS QUESTION?✨
The value of the linear sum ∑(i = 1 to 124) (29a_i - 13b_i) is -30.
We have,
Using the linearity of the sum, we have:
∑(i = 1 to 124) (29a_i - 13b_i)
= 29∑(i = 1 to 124)a_i - 13∑(i = 1 to 124)b_i [Distributive property]
= 29(-10) - 13(-20) [Substitute the given sums]
= -290 + 260
= -30
Therefore,
The value of ∑(i = 1 to 124) (29a_i - 13b_i) is -30.
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Best represents the population
The equation that best represents the population of the town, which increases exponentially at the rate of 6% every year, after x years is C. y = 158,260(1.06)ˣ.
What is exponential growth?Exponential growth refers to a constant percentage or rate of growth per period.
The opposite of exponential growth is exponential decay and refers to the constant rate of decay in value per period.
The town's initial population = 158,260
Growth rate per year = 6%
Let x = the number of years of growth
Let y = the population after x years
Equation:y = 158,260(1 + 0.06)^x
Thus, the correct equation representing population growth after x years is Option C.
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If-4x - 6y = 8 and 6x + 5y = 7 are true equations, what would be the value
of 2x - y?
answer:
15
step-by-step explanation:
you would need to use elimination to solve thisthis can be done by adding both equations-4x - 6y = 8
+ (6x + 5y = 7)
__________
2x - y = 15
A triangle has two 90 angles a side 12 cm in lenght. Select true or false for each statement about type of triangle.
The statement is false, a triangle can't have two angles of 90°.
Is the statement true or false?Remember that for any triangle, the sum of the 3 interior angles should be equal to 180°.
So if the 3 interior angles are A, B, and C we have.
A + B + C = 180°
In this case we know that two of the angles are of 90°, so let's say that:
A = 90°
B = 90°
Replacing that we will get:
90° + 90° + C = 180°
C = 180° - 90° - 90°
C = 0°
And we can't have a 0° degree angle, so the statement is false, triangles with two 90° don't exist.
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Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.
The three different values of n to demonstrate that 2n + 3n is equivalent to 5n are 1, 4 and 10.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 2n + 3n
On simplifying the equation , we get
A = 5n
when n = 1 , we get
2n + 3n = 2(1) + 3(1) = 2 + 3 = 5
5n = 5(1) = 5
Therefore, both expressions give the same result of 5.
when n = 4 , we get
2n + 3n = 2(4) + 3(4) = 8 + 12 = 20
5n = 5(4) = 20
Again, both expressions give the same result of 20.
when n = 10 , we get
2n + 3n = 2(10) + 3(10) = 20 + 30 = 50
5n = 5(10) = 50
Hence , the equation is solved
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What is the value of x?
cos 63° = sin x
Enter your answer in the box
X=
Answer:
x = 27°
Step-by-step explanation:
using the co-function identity
cos x = sin(90 - x) , then
cos63° = sin(90 - 63)° = sin27° with x = 27°
percents (round to 1. Jing has a .320 on-base percentage. Over the course of a 3-game series, Jing will bat 14 times. Assume that the chance of getting on base a fixed number of times is a binomial distribution. *tel Is the distribution for Jing getting on base symmetric, skewed right or skewed left?
(bOn average how many times will Jing get on base? Round to nearest 10th.
(c) What is the chance of Jing getting on base exactly once? Use the formula P(X = x) = nCx * px qn-* to find an expression and then use your calculator to find the numeric answer.
(d) ] What is the chance of Jing getting on base at least 5 times? Write down P(X...) = and the calculator expression with binomedf which you used to find the numeric answer (think complement)
2. The masses for eggs at a farm are normally distributed with mean 60 g and standard deviation 10 g.
(a) Find the chance that an egg has a mass of exactly 60 g (infinite precision)? -x=60 Label X = 60. do normal distribution curve graph
Explain your answer.
(b) Find the chance that an egg has a mass of less than 70 g. Shade area and label it
do standard deviation curve graph
using P(X < 70)
The expected number of hits
= [tex]\sum xP(X=x) = 0.96[/tex]
How to solveLet X be a Binomial random variable that denotes the number of hits
where the parameters are n = 3, p = 0.320
P(X = x) = [tex]\binom{3}{x}*0.32^{x}*0.68^{3-x} , x = 0,1,2,3[/tex]
(a) The probability distribution of X is
P(X = 0) = 0.3144
P(X = 1) = 0.4439
P(X = 2) = 0.2089
P(X = 3) = 0.0328
X 0 1 2 3
P(X = x) 0.3144 0.4439
0.2089
0.0328
(c) Expected number of hits
= [tex]\sum xP(X=x) = 0.96[/tex]
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Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work. Which sums prove that the boards will create a triangular outline for the garden? Select all that apply. 5 + 2.5 > 4 5 + 2.5 < 4 4 + 2.5 > 5 4 + 2.5 < 5 4 + 5 > 2.5
So the correct possible triangular outline for the garden is:
5 + 2.5 > 4
4 + 2.5 > 5
4 + 5 > 2.5
Given information:
Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet, and 4 feet.
He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work.
The sums that prove that the boards will create a triangular outline for the garden are:
5 + 2.5 > 4
4 + 2.5 > 5
4 + 5 > 2.5
So the correct options are:
5 + 2.5 > 4
4 + 2.5 > 5
4 + 5 > 2.5
These sums satisfy the triangle inequality rule, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
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Gustave Eiffel built the Eiffel Tower (1887-89) for the______In 1889.
World's Fair
Panama Pacific Exhibition
Salon
Great Exhibition
Answer:
World's Fair. Is the correct answer
I have to factor, solve, and sketch a parabola for the following, but I do not know how.
2x(x-7)
(x+4)(x-4)
The parabola for the expression are given in attachment.
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix
y=2x(x-7)
Let us take few values of x and y and draw the parabola
Similarly we draw the graph for (x+4)(x-4)
Hence, the parabola for the expression are given in attachment.
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Find the maximum volume of the cylindrical can such that the sum of its height and its circumference is 45 cm.
The maximum volume of the cylindrical can such that the sum of its height and its circumference is 45 cm is 337.5 cm³
Let's denote the radius of the cylindrical can as r, and its height as h.
The circumference of the base of the can is 2πr, so the sum of the height and the circumference can be written as:
h + 2πr = 45..(1)
We want to find the maximum volume of the can, which is given by:
V = πr²h..(2)
From (1), h = 45 - 2πr
Substitute h value in equation above
V = πr²(45-2r)
V = 45πr² - 2π²r³
To find the maximum volume, we have to find the differentiation of V
dV/dr = 90πr - 6π²r² = 0
Solving for r, we get:
r = 15/π cm
Now plug in r value in h
V = π(15/π)²(15)
= 337.5 cm³
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Jared's class took a survey to see how many students owned a trampoline. Of the 24 students in the class, 14 students said they owned a trampoline. If you chose a student at random from Jared's class, what is the probability that the student does not own a trampoline?
The probability that the student does not own a trampoline is given by the relation P ( A' ) = 5/12
Given data ,
Let the probability that the student does not own a trampoline be P ( A ' )
Given that there are 14 students who own a trampoline out of 24 students in total, the probability of owning a trampoline is 14/24. Therefore, the probability of not owning a trampoline is:
1 - 14/24 = 10/24 = 5/12
So, the probability that a student chosen at random from Jared's class does not own a trampoline is 5/12
Hence , the probability is 5/12
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PLEASE HELP
What is the difference between the median math test score in the morning and the
afternoon?
Answer:
difference = 12.5
Step-by-step explanation:
the median score is the value of the line inside the box.
median in afternoon = 75
median in morning = 87.5
difference = 87.5 - 75 = 12.5
The average number of chocolate chips in one ounce is 63 with a standard deviation of 1.8. Find the probability that a randomly selected ounce of chocolate chips will contain between 62 and 66 chocolate chips .
The probability that a randomly selected ounce of chocolate chips will contain between 62 and 66 chocolate chips is 0.6644.
How to find the probability that a randomly selected ounce of chocolate chips will contain between 62 and 66 chocolate chipsUsing the z-score formula to standardize the values and find the probability using a standard normal distribution table:
z1 = (62 - 63) / 1.8 = -0.56
z2 = (66 - 63) / 1.8 = 1.67
Using the standard normal distribution table, we find that the area to the left of z1 is 0.2881 and the area to the left of z2 is 0.9525.
Therefore, the probability that a randomly selected ounce of chocolate chips will contain between 62 and 66 chocolate chips is:
P(62 < x < 66) = P(z1 < z < z2) = P(z < z2) - P(z < z1)
= 0.9525 - 0.2881
= 0.6644
Therefore, the probability is approximately 0.6644.
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GIVING BRINLIET
Question
The set shows the absolute values of a set of rational numbers in increasing order.
{0.4, 1, 212
, 4, 5.3, 7, 9.8}
Can you determine the order of the rational numbers themselves? Explain why.
Responses
A No, it is not possible to determine the order of the rational numbers because we only know the signs of the rational numbers.No, it is not possible to determine the order of the rational numbers because we only know the signs of the rational numbers.
B Yes, it is possible to determine the order of the rational numbers because we know the size of the rational numbers.Yes, it is possible to determine the order of the rational numbers because we know the size of the rational numbers.
C No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.
D Yes, it is possible to determine the order of the rational numbers because we know that all of the rational numbers are positive.
Answer:
C. No, it is not possible to determine the order of the rational numbers because we do not know the signs of the rational numbers.
Find the pair of numbers that completes the factorization. x^2 - 3x - 40 = (x +?)(x-?)
a- 5,8
b- 4,10
c- 10,4
d- 8,5
answer
a. 5,8
explanation
use numbers in each answer choice
+5 * -8 = - 40
+5 -8 = -3
Consider the form [tex]x^2+bx+c[/tex]. Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex]. In this case, whose product is -40 and whose sum is -3.
[tex]\longrightarrow\boxed{\bold{(-8,5)}}[/tex]
Write the factored form using these integers.
[tex](x-8) \ (x+5)[/tex]
Determine whether the given ordered list of numbers is a solution of the the system of equations
It should be noted that to evaluate whether an organized array of numbers serves as a resolution for a combination of equations, one can apply this method.
How to explain the methodWrite down the arrangement of equations that you wish to evaluate the solution for. For illustration, let us say that we have this system:
2x + 3y = 7
x - y = 2
Inject the data from the orderly list into the equations. For example, if the ordered list is (x=1, y=3), then we have:
2(1) + 3(3) = 7
1 - 3 = -2
Verify whether the outcome of the equations are equivalent to the values in the ordered list. If they are, then the orderly list is a resolution of the arrangement of equations. On the other hand, if not, then it is not a solution.
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a cylinder with a height of 32 mm and a diagonal 40 mm what is the surface area
The surface area of the cylinder is calculated as approximately:
8,444.6 mm².
How to Find the Surface Area of a Cylinder?The surface area of a cylinder (SA) = 2πrh + 2πr², where:
r is the radius
h is the height of the cylinder.
Given the following:
Diagonal of cylinder = 40 mm
Height of cylinder (h) = 32 mm
Radius (r) = √(40² - 32²) = 24 mm [based on Pythagorean Theorem]
Plug in the values:
surface area of the cylinder (SA) = (2 * π * 24 * 32) + (2 * π * 24²)
≈ 8,444.6 mm²
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Solve for x. Round to the nearest tenth, if necessary.
Step-by-step explanation:
For a RIGHT triangle tan Φ = opposite leg / adjacent leg
for this triangle
tan 71 = x / 5.7
5.7 * tan 71 = x = 16.6 units
-Calcula la primera derivada de la función (Método de Richardson).
F(X)= X4 + 3X2 +2
en X=2 h=0.01
The first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.
To calculate the first derivative of the function f(x) = x^4 + 3x^2 + 2 using Richardson's method, we need to first calculate the approximate values of the function at x=2 and x=2+h, where h=0.01.
So, we have:
f(2) = 2^4 + 3(2^2) + 2 = 24
f(2+h) = (2+h)^4 + 3(2+h)^2 + 2
= 16 + 32h + 24h^2 + 8h^3 + h^4 + 12 + 12h + 3h^2 + 2
= h^4 + 8h^3 + 24h^2 + 35h + 30
Now, we can use Richardson's extrapolation formula to calculate the first derivative of the function at x=2:
f'(2) ≈ (4f(2+h) - f(2)) / (3h)
Substituting in the values we have:
f'(2) ≈ (4(h^4 + 8h^3 + 24h^2 + 35h + 30) - 24) / (3h)
= (4h^4 + 32h^3 + 96h^2 + 140h + 96) / (3h)
= (4h^3 + 32h^2 + 96h + 140) / 3
Now, we can substitute h=0.01 to get the value of the first derivative at x=2:
f'(2) ≈ (4(0.01^3) + 32(0.01^2) + 96(0.01) + 140) / 3
≈ (4(0.000001) + 32(0.0001) + 0.96 + 140) / 3
≈ (0.000004 + 0.0032 + 0.96 + 140) / 3
≈ 140.9632 / 3
≈ 33.8933
Therefore, the first derivative of the function f(x) = x^4 + 3x^2 + 2 at x=2 using Richardson's method with h=0.01 is approximately 33.8933.
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