Answer:
133? i just did 400 divided by 3 lol
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
first, make sure that is the entire graph because if not this answer is wrong
20 people total and 3 picked science so 3/20=x/400 so 20x20=400 so 3x20 means the number of students 400 who picked science probably based on this and it is 60
5w - 4 > 11
Help please
Answer:
w > 3
Step-by-step explanation:
5w - 4 > 11
5w > 15
w > 3
I think the answer is w= 6 or more
Step-by-step explanation:
I think it's this bc if u do 5 times 6 equals 30 then minus 4 is 26. 26 or more is greater than 11
The owner of a store buys large boxes of candy bars from a warehouse and repackages them to
sell in smaller boxes in his store. The store owner packages 4 candy bars in each small box. Each
large box contains 24 candy bars. Which graph represents the relationship between x large boxes
and y small boxes?
Answer:
This should explain it
Step-by-step explanation:
If its the graph question I think it is this is the answer screenshot.
Dominic bought 4 pencils and 3 highlighters for $9.80. Zoe bought 3 pencils
and 5 highlighters for $10.65. If Micha buys 2 pencils and 2 highlighters,
how much will it cost?
If Dominic bought 4 pencils and 3 highlighters for $9.80. it will cost Micha $5.50 to buy 2 pencils and 2 highlighters.
What is the cost?Set up two equations based on the purchases made by Dominic and Zoe:
Equation 1: 4p + 3h = 9.80
Equation 2: 3p + 5h = 10.65
Multiplying Equation 1 by 3 and Equation 2 by 4
Equation 3: 12p + 9h = 29.40
Equation 4: 12p + 20h = 42.60
Subtracting Equation 3 from Equation 4
(12p + 20h) - (12p + 9h) = 42.60 - 29.40
11h = 13.20
h = 13.20 / 11
h = 1.20
Substituting the value of h back into Equation 1
4p + 3(1.20) = 9.80
4p + 3.60 = 9.80
4p = 9.80 - 3.60
4p = 6.20
p = 6.20 / 4
p = 1.55
So,
Cost:
Cost = (2 * p) + (2 * h)
= (2 * $1.55) + (2 * $1.20)
= $3.10 + $2.40
= $5.50
Therefore it will cost Micha $5.50 to buy 2 pencils and 2 highlighters.
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How many sides do 1 triangle, 4 octagons, 5 dodecagons, and 4 quadrilaterals have in all?
Answer:
3+32+60+16= 111 sides.
Step-by-step explanation:
Make sure to multiply each number of a singular shape by its number of sides then add them all together at the end :)
Enter the equation of the line in the form y= mx + b
where m is slope.
Answer:
slope:35/70
y=0.5x +0
Step-by-step explanation:
x^3 - 3x^2 + 4x - 12
Answer:
(x^2 + 4)(x - 3).
Step-by-step explanation:
I'm guessing you want to factor this.
You can do it by grouping:
x^3 - 3x^2 + 4x - 12
= x^2(x - 3) + 4(x - 3)
= (x^2 + 4)(x - 3).
A rain gutter is to be made of sheets that are 10 inches wide by turning up the edges 90. What depth will provide a maximum cross-sectional area and hence allow the most water to flow?
To find the depth that will provide a maximum cross-sectional area for the rain gutter and allow the most water to flow, we can use optimization techniques.
Let's assume the depth of the rain gutter is represented by 'x' inches. The width of the gutter is fixed at 10 inches, and by turning up the edges 90 degrees, the cross-sectional shape becomes a rectangle with dimensions x by 10 - 2x.
The area of the cross-section, A, is given by A = x(10 - 2x) = 10x - 2x^2.
To find the maximum cross-sectional area, we need to maximize the function A(x). We can achieve this by finding the critical points of the function, which occur when the derivative of A with respect to x is equal to zero.
Taking the derivative of A(x) with respect to x, we get dA/dx = 10 - 4x.
Setting dA/dx = 0, we find the critical point: 10 - 4x = 0, which gives x = 2.5.
To determine if this critical point corresponds to a maximum, we can check the second derivative of A. Taking the second derivative, we have d^2A/dx^2 = -4.
Since the second derivative is negative, the critical point x = 2.5 corresponds to a maximum.
Therefore, the depth of 2.5 inches will provide a maximum cross-sectional area and allow the most water to flow through the rain gutter.
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To find the depth that will provide a maximum cross-sectional area for the rain gutter and allow the most water to flow, we can use optimization techniques.
Let's assume the depth of the rain gutter is represented by 'x' inches. The width of the gutter is fixed at 10 inches, and by turning up the edges 90 degrees, the cross-sectional shape becomes a rectangle with dimensions x by 10 - 2x.
The area of the cross-section, A, is given by A = x(10 - 2x) = 10x - 2x^2.
To find the maximum cross-sectional area, we need to maximize the function A(x). We can achieve this by finding the critical points of the function, which occur when the derivative of A with respect to x is equal to zero.
Taking the derivative of A(x) with respect to x, we get dA/dx = 10 - 4x.
Setting dA/dx = 0, we find the critical point: 10 - 4x = 0, which gives x = 2.5.
To determine if this critical point corresponds to a maximum, we can check the second derivative of A. Taking the second derivative, we have d^2A/dx^2 = -4.
Since the second derivative is negative, the critical point x = 2.5 corresponds to a maximum.
Therefore, the depth of 2.5 inches will provide a maximum cross-sectional area and allow the most water to flow through the rain gutter.
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A factory manufactures 9 x 10^5 packs of gum each month. They send these out to 16 different distribution centers. If each distribution center gets the same number of packs, how many are sent to each center?
Answer:
The answer would be A.
Step-by-step explanation:
You would take 9 x 10^5 = 900000 and divide that by 16 to get 56250.
After that, you move the decimal over by 4 to make it a number with only one number above zero in front of the decimal to make 5.625 (negate the 0 bc it does not mean anything after you moved the decimal over)
Since you moved it over by four places, the exponent next to the 10 will be 4, making the final answer 5.625 x 10^4
Good luck and hope this helps!!
A point is a physical measurement approximately equal to 1/16th of an inch. Group of answer choices False True
imagine you are drawing from a deck of 52 cards (the 52 standard cards). determine the number of ways you can achieve the following 5-card hands drawn from the deck without repeats. discrete math
To determine the number of ways you can achieve a 5-card hand without repeats from a deck of 52 cards, we can use the formula for combinations:
C(52, 5) = 52! / (5! * (52-5)!) = 2,598,960
This means that there are 2,598,960 ways to draw a 5-card hand without repeats from a standard deck of 52 cards.
In order to find the number of ways you can achieve a specific 5-card hand from a standard deck of 52 cards, you'll need to use combinations in discrete math. Combinations are used to calculate the number of ways to choose a certain number of items from a larger set, without considering the order of the items.
In this case, you want to choose 5 cards from a deck of 52 cards. Using the combination formula, you can determine the number of ways to do this:
C(n, k) = n! / (k!(n-k)!)
Where n is the total number of items (52 cards), k is the number of items you want to choose (5 cards), and ! represents the factorial function (e.g., 5! = 5 x 4 x 3 x 2 x 1).
Using the formula for your situation:
C(52, 5) = 52! / (5!(52-5)!)
C(52, 5) = 52! / (5!47!)
Calculating the factorials and dividing, you get:
C(52, 5) = 2,598,960
So, there are 2,598,960 ways to draw a 5-card hand from a standard deck of 52 cards without repeats.
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three ratios that are equivalent to 5:25
Answer:
5 to 25 25:5 5:25
Step-by-step explanation:
this is what I got so I hope it helps you
Graph the linear equation: y=7/5x -6.
draw a straight line through (4.3,0) and (0,-6)
Select the ratio equivalent to tan (o)
Answer:
D.
tangent = opp over adj
Step-by-step explanation:
Find the value of y.
(6y - 3)
129°
Answer:
y=22
Step-by-step explanation:
set 6y-3 equal to 129 and then solve
What is the least common denominator of the rational expressions below?
1
3
x2 -5x x2 + 2x - 35
+
O A. x(x - 5)
B. X(X - 5)(x + 7)
C. x(x + 7)
D. x(x - 5)(x - 5)(x + 7)
Answer: B. x(x−5)(x+7)
Step-by-step explanation: LCD...Apex
Help
I'll give branliest
Heart
and 5 stars
Answer:
122
Step-by-step explanation:
hope this helps plz like and star
-mercury
please help me with this
Thanks~
Answer:
(-6,8)
Step-by-step explanation:
A shop owner offered a 40% discount off the regular price of a mirror. The amount of the discount is $6.
What is the regular price of the mirror?
Step-by-step explanation:
the original price of the mirror is not known so we will call it x for now.
The discount on the original price is a 40% discount, so it is 40% of x or 0.4x
We are told that the discount is $6, so 0.2x will = 6. So now we will solve the equation for x.
0.4x = 6
x= 6/0.4
x= 15
The original price is $15
The regular price of the mirror is $15.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a shop owner offered a 40% discount off the regular price of a mirror.
Let the regular price of a mirror be x.
The amount of the discount is $6.
Now, 40% of x=6
40/100 ×x=6
0.04x=6
x=6/0.4
x=15
Therefore, the regular price of the mirror is $15.
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What is the distance between the Library and Post Office?
5
5
3
2
In a City
Library
1
Restaurant
O6 units
O 4 units
O 5 units
3 units
Park
Complex
0 1 2 3 4 5 6 7
Museum
Post Office
Answer: The answer is 5 units
Step-by-step explanation:
If you plot it on a graph and what not it comes out to 5 units, going diagonally.
In a city, the distance between the library and the post office is three units. This may be calculated by counting the gaps between the two points on the grid illustrated above. The Library is in position 1 and the Post Office is in position 4, therefore the distance between them is three units.
What is distance?The amount of space between two locations is defined as distance. It is commonly measured in meters, kilometers, miles, or feet. Distance is used to compute the length of a journey, the time required to go a specific distance, and the speed of an item moving a specific distance. It may also be used to determine the dimensions of an item. In trigonometry, distance is also used to measure angles, such as the angle between two points on a circle. Distance may be present in practically every facet of our daily lives, from city distances to item sizes. Distance is an important term to grasp in both physics and mathematics.
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How many, and what type of solutions, does3x2−x−5=0 have?
2 irrational solutions
2 rational solutions
1 rational solution
2 non-real solutions
Answer:
2 irrational solutions
Step-by-step explanation:
using the quadratic formula:
\( \frac{ -b \:± \sqrt{b {}^{2} - 4ac } }{2a} \)
3x²−x−5=0
where a = 3, b = -1 and c = -5, plug in those values in the quadratic formula
\( \frac{ - ( - 1)±\sqrt{(1) {}^{2} - 4(3)( - 5) } }{2(3)} \)
you get two solutions:
\( \frac{1 + \sqrt{61} }{6} \: and \: \frac{1 - \sqrt{61} }{6} \)
both can be written as:
\( \frac{1± \sqrt{61} }{6} \)
They are irrational as they cannot be written in the form p/q where p and q are whole numbers (integers)
List the domain and range of the relation. {(7,-8), (4,4), (0,-8), (4,1),(7,8)}
Answer:
Domain: {7, 4, 0} Range: {-8, 4, 1, 8}
Step-by-step explanation:
the domain is just the x values and the range is just the y values when just a list of cordinates are given.
how to find a point on a surface that ensures that the tangent plane will contain point (3, 0, 0)?
The point on the surface that ensures the tangent plane contains (3,0,0) is (1/2, 0, 1/4).To find a point on a surface that ensures the tangent plane contains the point (3,0,0), we need to use the following steps:
Find the gradient vector of the surface at a general point (x,y,z).
Set the gradient vector equal to the normal vector of the tangent plane passing through (3,0,0). Since the normal vector of the tangent plane is perpendicular to the plane, it must be orthogonal to the gradient vector.
Solve the resulting system of equations for x, y, and z to find the specific point on the surface that satisfies the condition.
For example, let's consider the surface defined by the equation z = x^2 + y^2. The gradient vector of this surface is given by <2x, 2y, -1>. Setting this equal to the normal vector of the tangent plane passing through (3,0,0), which is <1,0,0>, gives us the following system of equations:
2x = 1
2y = 0
-1 = 0
Solving for x and y, we get x = 1/2 and y = 0. Plugging these values into the original equation of the surface, we get z = (1/2)^2 + 0^2 = 1/4. Therefore, the point on the surface that ensures the tangent plane contains (3,0,0) is (1/2, 0, 1/4).
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Find a parametrization of the circle of radius 5 in the xy-plane, centered at the origin, oriented clockwise. The point (5, 0) should correspond to t = 0. Use t as the parameter for all of your answers. X(t) = y(t) =
The parametrization of the circle of radius 5 in the xy-plane, centered at the origin, oriented clockwise is: x(t) = 5 * cos(t). y(t) = -5 * sin(t).
To parametrize the circle of radius 5 in the xy-plane, centered at the origin and oriented clockwise, we can use the trigonometric functions sine and cosine.
The equation of a circle with radius r centered at the origin can be written as:
x^2 + y^2 = r^2.
In this case, since the radius is 5, the equation becomes:
x^2 + y^2 = 25.
To parametrize the circle, we can express x and y in terms of the angle θ, where θ is measured counterclockwise from the positive x-axis. Since we want the circle to be oriented clockwise, we need to use the angle -θ.
Let's express x and y in terms of θ:
x = r * cos(-θ) = 5 * cos(θ).
y = r * sin(-θ) = -5 * sin(θ).
Therefore, the parametrization of the circle is:
x(t) = 5 * cos(t).
y(t) = -5 * sin(t).
Here, we have used t as the parameter instead of θ, where t represents the parameterization of the circle. The point (5, 0) corresponds to t = 0.
So, the parametrization of the circle of radius 5 in the xy-plane, centered at the origin, oriented clockwise is:
x(t) = 5 * cos(t).
y(t) = -5 * sin(t).
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Sue invested $2400 at a 3% simple interest rate for 18 months. How much did she earn on her investment after the 18 months?
Answer:
sinple interest= principle*rate*time/100
SI= 2400*3*1.5/100
SI= 108
AMOUNT= SI + PRICIOLE
AMOUNT= 108+2400
AMOUNT= 2508
{ I converted 18 months to 1.5 years}
Find the area of the figure below
77.25 cm^2 154.5 cm^2 87.55 cm^2 175.1 cm^2
The area of the given triangle is 87.55 square centimeter.
From the given triangle, base=17 cm and height=10.3 cm.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, area of a triangle = 1/2 ×17×10.3
= 87.55 square centimeter
Therefore, area of the given triangle is 87.55 square centimeter.
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Find the value of x. Show your work, please!
The value of x is 10.
Given triangle is a right-angled triangle.
Let the lengths of not mentioned lengths be 2p(hypotenuse) and 2q (other side).
There are two triangles in the given picture.
Consider the smaller triangle.
Apply Pythagoras theorem to that i.e.,
\(p^{2}\) = \((3x)^{2} + q^{2}\)
(Here, total hypotenuse is 2p length and the smaller triangle has half of its length. So, length is p. Similarly in case of q)
\(p^{2} = 9x^{2} + q^{2}\) (Equation 1)
Now, consider the large triangle.
Apply Pythagoras theorem to that i.e.,
\((2p)^{2} = (4x + 20)^{2} + (2q)^{2}\)
\(4p^{2} = (16x^{2} + 160x + 400) + 4q^{2}\)
Substitute \(p^{2}\) from Equation 1
\(4(9x^{2} + q^{2} ) = 16x^{2} + 160x + 400 + 4q^{2}\\\)
\(36x^{2} + 4q^{2} = 16x^{2} + 160x + 400 + 4q^{2}\)
\(36x^{2} = 16x^{2} + 160x + 400\) (\(4q^{2}\) from both sides got cancelled)
\(20x^{2} - 160x - 400 = 0\)
Solving the quadratic equation,
\(20x^{2} - 200x + 40x - 400 = 0\)
\(20x(x - 10) + 40(x - 10) = 0\)
\((20x+ 40)(x - 10) = 0\)
So, 20x + 40 = 0 or x - 10 = 0
i.e., x = -2 or 1o
But \(x \neq -2\) because angles cannot be negative.
So, x is 10.
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A company is hosting a charity meal 800 people work for the company it is estimated 70% of the employees will attend it is expected that if an employee attends they will bring a partner the cost of attending the meal is £5 how much money will there is for charity?
Answer:
5600 pounds
Step-by-step explanation:
first find the number of workers attending:
70%of 800 = 560
Next find the number of people attending:
560 x 2 = 1120
Now, Calculate the money raised:
5 X 1120 = 5600
Hope this helps
Good Luck
margot is sewing a ribbon on a seam along the perimeter of a square pillow. the side length of the pillow is 2x2 1 inches. she plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. what expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x
To find the expression for the length of ribbon Margot needs for both pillows, we first need to find the perimeter of each pillow.
For the first pillow with a side length of 2x+1 inches, the perimeter is calculated by multiplying the side length by 4:
Perimeter of first pillow = 4 * (2x+1) = 8x + 4 inches.
For the second pillow with a side length of 4x-7 inches, the perimeter is calculated in the same way:
Perimeter of second pillow = 4 * (4x-7) = 16x - 28 inches.
To find the expression for the length of ribbon needed for both pillows, we add the perimeters together:
Expression for total length of ribbon = Perimeter of first pillow + Perimeter of second pillow
= (8x + 4) + (16x - 28)
= 24x - 24 inches.
Now, to find the length of the ribbon if x = 3, we substitute x = 3 into the expression:
Length of ribbon if x = 3
= 24(3) - 24
= 72 - 24
= 48 inches.
The expression for the length of ribbon Margot needs for both pillows is 24x - 24 inches. If x = 3, the length of the ribbon is 48 inches. To find the expression for the length of ribbon needed for both pillows, we calculated the perimeter of each pillow. The first pillow has a side length of 2x+1 inches, so its perimeter is 4 * (2x+1) = 8x + 4 inches. The second pillow has a side length of 4x-7 inches, so its perimeter is 4 * (4x-7) = 16x - 28 inches. To find the total length of ribbon needed, we added the perimeters together: (8x + 4) + (16x - 28) = 24x - 24 inches. To find the length of the ribbon if x = 3, we substituted x = 3 into the expression: 24(3) - 24 = 48 inches. Therefore, the expression for the length of ribbon Margot needs for both pillows is 24x - 24 inches, and if x = 3, the length of the ribbon is 48 inches.
The expression for the length of ribbon Margot needs for both pillows is 24x - 24 inches. If x = 3, the length of the ribbon is 48 inches.
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what would be the null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup
The null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup is Divorce Opinions and Gender I.
We introduce the results of a
May 2010 Gallup poll of 1029 US adults. When asked if they view divorce as “morally acceptable”,
71% of the men and 67% of the women in the sample responded yes. In the test for a difference in
proportions, a randomization distribution gives a p-value of 0.165. Does this indicate a significant
Solution
If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not
reject H0 : pf = pm. This means the data do not show significant evidence of a difference in the
proportions of men and women that view divorce as “morally acceptable”
Solution
(a) The p-value (0.003) is small so the decision is to reject H0 and conclude that the mean recall
for sleep (¯xs = 15.25) is different from the mean recall for caffeine (¯xc = 12.25). Since the mean
for the sleep group is higher than the mean for the caffeine group, we have sufficient evidence to
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The table shows the numbers y of students absent from school x days after a flu outbreak.
Write a function that models the data.
Use the model to approximate the number of students absent 10 days after the outbreak.
A scatter plot is also referred to as scatter chart, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.
What is a quadratic function?A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the polynomial function is given by:
y = -0.4908x² + 5.8845x + 1.3572
For the number of students that are absent 10 days after the outbreak, we have:
y = -0.4908(10)² + 5.8845(10) + 1.3572
y = -0.4908(100) + 58.845 + 1.3572
y = -49.08 + 58.845 + 1.3572
y = 11.12 ≈ 11 students.
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