As women's coat comes in sizes 4,6,8 , or 10 in black, brown, ivory, and cinnamon , possibility of selection of different coats is equal to 16.
As given in the question,
Availability of size number in women's coat = 4, 6, 8, or 10
⇒N(S) =4
Availability of color in women's coat = black, brown, ivory, and cinnamon
⇒ N(C) =4
Possibility of selection of different women's coats = N(S) × N (C)
=4 × 4
=16
Therefore, the possibility of selection of different coats is equal to 16 as per the availability of women's coat sizes and colors.
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Write this ratio in the simplest form 15 to 25
Answer:
I think dividing them by the same number is a solution so , 15/5 to 25/5
= 3:5
29 POINTS IF YOU CAN HELP ME!!!!!!!!!!!!!!!!!!!! A Striped bass is swimming at an elevation of −3 feet, while a flounder is swimming at an elevation of −11 feet. Write and interpret a statement of the order showing the elevation of the striped bass compared to the elevation of the flounder. (1 point) Responses A, −3 < −11; the flounder is at a higher elevation than the bass. B, −3 > −11; the bass is at a higher elevation than the flounder. . C, −3 > −11; the flounder is at a higher elevation than the bass. D, −3 < −11; the bass is at a higher elevation than the flounder.
Answer:
B -3>(-11)
Step-by-step explanation:
because of integers
The graph of quadratic function g is shown on the grid. The coordinates of the x-intercepts, the y-intercept, and the vertex are integers.
What is the minimum value of g?
Answer:
-1
Step-by-step explanation:
This quadratic function shows this equation:
[tex]g(x)=(x-3)^2-1[/tex]
But you shouldn't need to know that! By observation, the minimum value of g is -1, because that is the lowest y value at the vertex on the graph! Since this is a parabola, we know that the graph will not have another minimum anywhere else!
A (vector, reflection) is a congruence transformation.
Congruent transformations can be divided into three categories: rotation, translation, and reflection. We can accurately characterize translations by using vectors.
What is the name of a congruence transformation?
A congruent transformation, also known as a congruence transformation, is: Isometry's other name; see congruence (geometry).
Is reflection a transition that congruence?
Congruence transformations can be divided into three categories: reflections (flips), rotations (turns), and translations (slides). These transformations for congruence can be applied to obtain congruent shapes or to confirm the congruence of two shapes.Learn more about congruence
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One-fifth of the greater of two consecutive Integers is 7 less than one-half of the lesser Integer. What are the integers?
The two consecutive integer numbers are 24 and 25.
How to find the two consecutive integers?
We can write the two consecutive integers as x and x + 1, where the larger one is x + 1.
We know that 1/5 of the larger is 7 less than 1/2 of the lesser one, then we can write the linear equation:
1/5*(x + 1) = 1/2*x - 7
1/5*x + 1/5 = 1/2*x - 7
So we need to solve that for x:
1/5 + 7 = 1/2*x - 1/5*x
1/5 + 35/5 = 5/10*x - 2/10*x
36/5 = 3/10*x
(36/5)*(10/3) = x = 24
So the smaller is 24, and the larger is x + 1 = 25.
The two consecutive integer numbers are 24 and 25.
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Need help with these two problems
Answer:
Question 4 : 10 m
Question 5 : Square root 37
Step-by-step explanation:
QUESTION 4: So for the this one here we need to make a drawing (unfortunately). Lets break down the question because having a math problem with a ton of words is confusing sometimes. So we have a pole that is 8m high, so we can draw that out. So we take some cable and go 6 m from the bottom of the pole. So now we want to know how long the cable is and if we go from the top of the pole to the bottom 6m away it looks like this. (Below I'll put what I have written) Since now it's a 90 degrees angle there is a specific formula we can use in situations like this. Where we know 2 sides and need 1 more. a^2 + b^2 = c^2 should look familiar if it doesn't its all good! :D a^2 + b^2 = c^2 is called 'Pythagorean's theorem' (we don't really need to know that part) but basically we use it whenever we need to figure out a side when we already know the other two. We know that the straight line is 8, and the horizontal line is 6. So we can use that formula to get the last number. just know that whenever we have the right triangle, we can use the a^2 + b^2 = c^2 to get all the sides for it. The a and b in the formula are always the straight lines. The c is always the slanted line (the red line I drew). We don't know what it is, so we'll just put c^2 into our equation but we can solve for it! So 8^2 would equal to 64. 6^2 would equal to 36. 64 + 36 here gets us 100. Here's another trick you might need to memorize. Whenever there is a number squared like c^2, we can take the square root of both sides to get rid of it. So c^2 just becomes c. It's a little weird but very useful to remember. But if you remember the a^2 + b^2 = c^2 and use that square root technique you can get an A+ every time. :D Now all we need to know is the square root of 100. It's a big one so using a calculator is fine, here its just 10. Therefore our answer is 10.
QUESTION 5: We'll start off by reading 'distance between points' is a big thing to note here. There is a formula that we can directly use here. (I'll write under the picture in black). So distance between points always uses this formula: (In black). Okay, so the formula in black has more letters in it (which sucks) but we can break it down. When we have numbers like this (3, 0) it means (x, y). So I wrote down what the x1, y1, x2, y2, are here. X1 is just the first number, y1 is the second, x2 is the third, and y2 is the fourth. I just plugged in all the numbers from above in the order we put (x2, x1, y2, y1). Basically we can just solve this now! As of right now we'll need to solve (-3 -3)^2 when we solve that we should get 36. Next we're gonna solve (-1 - 0)^2 and we should get the answer of 1. Now we need to solve 36 +1 and we should know that it equals 37. Therefore we'd get answer: square root 37.
A zoo has an agreement with the local farmers. they sell the daily waste from their elephants to the farmers for $5.00 per pound. if the amount of waste produced by the elephant on a given day is at the 10th percentile of the distribution of waste, how much money would the zoo make selling the waste that day?
Answer:0.86
Step-by-step explanation:
I need help asap right now
Answer:
52 cm
Step-by-step explanation:
since all sides of a square is equal u do 4*13 and get 52 cm!
Answer: 52
Step-by-step explanation:
Square has 4 equal sides
13 x 4
Solve each equation. 4 y-6=2 y+8
The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.
According to the given question.
We have a linear equation in one variable.
4y - 6 = 2y + 8
As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by
4y - 6 = 2y + 8
⇒ 4y - 2y - 6 = 8 ( subtracting 2y from both the sides)
⇒ 2y -6 -8 = 0 (subtracting 8 from both the sides)
⇒ 2y - 14 = 0
⇒ 2y = 14
⇒ y = 14/2
⇒ y = 7
Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.
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Determine the truth value of each conditional statement. If true, explain your reasoning. If false, give a counterexample. [Lesson 2.3]
If x²=25 , then x=5 ,
According to the given statement the given data is true.
we can see that the number 5 is a perfect square of 25.
In math, what constitutes a perfect square?Informally: When someone multiplies an integer (a "whole" number, positive, negative, or zero) by itself, mathematics resulting product is known as a square number, a perfect square, or simply "a square." So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on are all square numbers.
How do you find a perfect square?To check the accuracy of your square, simply calculate the exact square root of something like a given value. If the square root seems to be an integer, your number is the perfect square. Let's compute the squares of something like the following numbers: 49 and 53. 49 = 7 - 7 is an integer number 49 is a perfect square.
Briefing:As can be seen, the calculated value is:
x²=25 , then x=5
While find the square root of the given number of:
x²=25
x = √25
x=5
So,
we can see that the number 5 is a perfect square of 25.
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Find the coordinates of the centroid of the triangle with the given vertices. A(-1,11), B(3,1), C(7,6)
The orthocenter is the point where a triangle's three altitudes intersect, and the centroid is the point where the three medians intersect.
The coordinates of the orthocenter of Δ RST is (3, 6).
What is the orthocenter of the triangle?An orthocenter of a triangle is the point at which altitudes drawn perpendicular from the vertex to the opposite sides of a triangle intersect. A triangle typically has three altitudes, and the intersection of all three altitudes is known as the orthocenter.
The orthocenter is the point where a triangle's three altitudes intersect, and the centroid is the point where the three medians intersect.
The midpoint of AD is (-1+3/2, 11+1/2) or (1, 6). Note that DC is a line that connects the vertex C and D, the midpoint of AB. The distance from D(1, 6) to C(7, 6) is 7 - 1 or 6 units.
If P is the centroid of the triangle XYZ, then PC = (2/3) DC.
So, the centroid is 2/3(6) or 4 units to the left of C. The coordinates of the centroid (P) are (7 - 4, 6) or (3, 6).
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Find and sketch a real-world logo with an inscribed polygon.
A cyclic polygon is inscribed in a circle, and the circle is its circumscribed circle or circumcircle. The radius of the inscribed circle or sphere, if it exists, is the inradius or filling radius of a given outer figure.
What is a polygon inscribed in a circle?
An inscribed angle in geometry is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle formed by two given points on a circle at a given point on the circle.
An inscribed polygon is one with all of its vertices on a circle. The circle is encircled by the polygon, and the polygon is encircled by the circle. (It's a polygon inside a circle) A circumscribed polygon is one with each side tangent to a circle.
A cyclic polygon is inscribed in a circle, and the circle is its circumscribed circle or circumcircle. The radius of the inscribed circle or sphere, if it exists, is the inradius or filling radius of a given outer figure.
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Determine whether y is a function of x . Explain.
y² = 3x - 7
If x = ≥ 7/3 this equation gives an Imaginary value for y, so it is still a function; it is just not a real valued function.
What is function explain?
Then, a set of ordered pairs can be used to define a function: Example: The function (2,4), (3,5), (7,3) says. 3 and 5 are related to 2, and 3 and 7 are related. Additionally, take note that the domain is 2,3,7. (the input values)the Domain of x will be limited (assuming by "function" we mean a "real value function")
y² = 3x - 7
[tex]y = \sqrt{3x - 7}[/tex]
which gives a unique value provided x = ≥ 7/3
If x = ≥ 7/3 this equation gives an Imaginary value for y, so it is still a function; it is just not a real valued function).
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Find the center and the radius of each circle. (x+3)²+(y-5)²=38
The equation of the circle (x + 3)^2 + (y - 5)^2 = 38 has a radius of √38 and a center located at (-3 , 5).
The standard form of the equation of circle is given by
(x - h)^2 + (y - k)^2 = r^2
where (h , k) is the location of the center and r is the radius of the circle.
On the other hand, the general form of the equation of circle is given by
x^2 + y^2 + Dx + Ey + F = 0
where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.
If the equation of the circle, (x + 3)^2 + (y - 5)^2 = 38, is in standard form, then
h = -3
k = 5
r = √38
Hence, the equation of the circle (x + 3)^2 + (y - 5)^2 = 38 has a radius of √38 and a center located at (-3 , 5).
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The 7-digit numbers in a given area code have the form ABC-XXXX, where B, C and X can be any digit 0-7 and A is restricted to 2-8. How many 7-digit numbers are possible in a single area code?
MUST SHOW WORK
Using the Fundamental Counting Theorem, it is found that 1,835,008 numbers are possible.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, we have that:
For the first digit, there are 7 possible outcomes, hence [tex]n_1 = 7[/tex].For the remaining 6 digits, there are 8 possible outcomes, hence [tex]n_2 = \cdots = n_7 = 8[/tex].Hence:
N = 7 x 8 x 8 x 8 x 8 x 8 x 8 = 1,835,008.
1,835,008 numbers are possible.
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Question No: 6
A store offers a discount card for $65. If you have the card, you receive 10% off all purchases.
How much do you need to spend to make buying the card worth while?
x >
Answer:
$650
Step-by-step explanation:
You need to get at least $65 in savings to make the card worthwhile
10% of x is 65
multiply both sides by 10
100% of 10x is 65
get rid of 10x since we don't need that
100% of our answer is 650
Solve y3 = −125.
please please help
Answer:
-41.6 repeating
Step-by-step explanation:
Not sure if this is for homework or anything, but...
y3=-125
y/3=-125/3
y=-41.6 repeating
Answer:
-5
Step-by-step explanation:
5^3 is 5×5×5
Which gives 125
since the y3 = −125.
then y=-5
The Perez family saves 3% of their monthly income for their summer vacation. This past year, they saved $774 for their vacation. What is their monthly income?
Answer:2,166
Step-by-step explanation:
can some one help me please?
charlie buys candy bars for $2.25 each in total he spends $20.25
Write and solve the equation
Please help!!!!!!
Answer:
Step-by-step explanation:
2.25 times 9 equals 20.25 dollars hope it helped
Write the equation of each line in slope-intercept form and identify the slope.
5 y=-3 x-10
The equation of the line 5y = -3x - 10 expressed in slope-intercept form is y = -3/5 x - 2 with a slope equal to -3/5.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
Given the equation of the line 5y = -3x - 10, which the variable y is already isolated in one side, divide both sides by 5.
5y = -3x - 10
y = -3/5 x - 2
Hence, the equation of the line in slope-intercept form is y = -3/5 x - 2 where the slope, m, is equal to -3/5.
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Solve the following quadratic function by utilizing the square root method.
Simplify your answer completely
y=49x^2 - 1
x= ?
_
?
[tex]y = 49x^2 - 1\implies \stackrel{y}{0}=49x^2 -1\implies 1=49x^2\implies \cfrac{1}{49}=x^2 \\\\\\ \sqrt{\cfrac{1}{49}}=x\implies \cfrac{\sqrt{1}}{\sqrt{49}}=x\implies \cfrac{1}{7}=x[/tex]
In Exercises 21-23, write and graph an inequality for the given solution set.
21. {x|x > 3}
22. {p p ≤ 0}
23. {ww≥-6}
if you already have the answer and just need the graph, you can look for it on Desmos. Just write the answer and it will show you. Hope this helps.
6 2/3 * (-4 1/5) help me please :)
Answer:
Step-by-step explanation:
20/3 * (- 21/5) = -84/3 = - 28
Find the value of x, if
(i) In figure, AB|| CD
A=108
C=112
Then E=x
Using adjacent angles, The value of a given figure, the value of E = 132°
What is an Adjacent angle?
When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end. When adjacent angles have a same vertex and side, they can be a complimentary angle or supplemental angle.
draw a line EOF parallel to AB
now EF || AB and CD||AB
∵ AB || EF and AO is a transversal
we have
∠AOF+∠OAB=180°
∠AOF+108 = 180 °
∠AOF=72 °
∵ EF|| CD and OC is transversal
so
∠COF+∠OCD=180°
∠COF+112° = 180°
∠COF=60°
∴∠AOC=∠AOF+∠COF
=72 ° + 60°
=132°
Hence the value of E = 132°
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Find the area of the polygon with the given vertices. $J(-3,\ 4),\ K(4,\ 4),\ L(3,-3)$
The area of the polygon become 24.5.
According to the statement
We have to find that the area of the polygon.
So, For this purpose, we know that the
Polygon is a plane shape (two-dimensional) with straight sides.
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
From the given information:
The given vertices are:
J(-3,\ 4),\ K(4,\ 4),\ L(3,-3)
And then the base of the polygon become:
Base = [tex]\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2} }[/tex]
Then
Base = [tex]\sqrt{(-3 - 4)^{2} + (4 -4)^{2} }[/tex]
Base = 7
Then
Height = [tex]\sqrt{(y_{1} - y_{2})^{2} +(z_{1} - z_{2})^{2} }[/tex]
Height = [tex]\sqrt{(4 - 4)^{2} +(4 - (-3))^{2} }[/tex]
Height = 7
Then the area of the polygon becomes:
Area = 1/2 *Base*Height
Area = 1/2 *7*7
Area = 1/2*49
Area = 24.5
Thus, The area of the polygon become 24.5.
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Identify the pattern and find the next three terms.
16,32,64,.......
Answer:
128,256,512
Step-by-step explanation:
Because 64×2=128, 128×2=256,...
Suppose you make a 4-minute local call using a calling card and are charged 7.6 cents. The cost of a local call varies directly with the length of the call. How much more will it cost to make a 30 -minute local call?
b. How does the word "more" affect the method needed to solve the problem?
The additional cost required to pay for a 30 minutes call is 49.4 cents.
What is a word problem?
A word problem is defined as a mathematical problem written in form of words or sentences. These are assigned to students to determine their hold on the concepts.
Calculation of cost of calling 30 minutes
The cost for calling 4 minutes is 7.6 cents
The cost for calling 1 minute is 7.6 / 4
= 1.9
The cost for calling 30 minutes = 1.9 × 30
= 57 cents
The word 'more' in the word problem specifies the additional cost needed to make a 30-minute call i.e. it requires the difference between the cost of a 4-minute call and a 30 minutes call.
More cost = còst for calling 30 minutes- cost for calling 4 minutes
= 57 - 7.6
= 49.4 cents
Hence, the additional cost required to pay for a 30 minutes call is 49.4 cents.
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Look at the pattern shown.
144,72,36,. . .
b. What is the first non-integer number in this pattern?
Non-Integer numbers are those that are not whole numbers, whole numbers that are negative numbers, or zero.
The first non-integer number in this pattern is 4.5
What is a non- integer?Non-Integer numbers are those that are not whole numbers, whole numbers that are negative numbers, or zero.Any number that isn't a member of the integer set is referred to as a non-integer, and its expressions are -4, -3, -2, -1, 0, 1, 2, 3, 4.Imaginary numbers, fractions, and decimals are a few non-integer examples.Example = 3.14, 1.414, and 1.763The pattern is as follows,
144/2 = 72
72/2 = 36
36/2 = 18
18/2 = 9
9/2 = 4.5.
4.5 is the first non-integer number in this pattern.
Therefore, the first non-integer number in this pattern is 4.5.
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Felicia has $45.00 to spend on games at the arcade. Each game costs $2.25. How many games will she be able to play?
Answer:
Step-by-step explanation:
45 / 2.25 = 20 games
Find the distance between the pair of parallel lines with the given equations. (Lesson 3-6)
y=-4x-6 y=-4x+11
The distance between the pair of parallel lines given by the equations y = -4x - 6 and y = -4x + 11 is √17 units.
The shortest distance between two parallel lines is the length of the perpendicular segment between them.
First, determine the slope of the segment perpendicular to the parallel lines.
y = -4x - 6
m = -4
slope of perpendicular segment = 1/4
Consider a point that one of the equation passes through. Line y = -4x - 6 passes through (0 , -6).
Write the equation for the perpendicular line using the point-slope form.
(y - y1) = m(x - x1)
(y - -6) = 1/4(x - 0)
y + 6 = 1/4 x
y = 1/4x - 6
Determine the point where this perpendicular line intersects with the 2nd parallel line by equating both equations.
y = 1/4x - 6 = -4x + 11
1/4x + 4x = 11 + 6
17/4 x = 17
x = 4
Substitute this value of x in the previous equations,
y = 1/4x - 6
y = 1/4(4) - 6
y = 1 - 6
y = -5
Now, the distance between the two points (0 , -6) and (4 , -5) is the distance between the two parallel lines.
d = √(x2 - x1)^2 + (y2 - y1)^2
d = √(4 - 0)^2 + (-5 - -6)^2
d = √4^2 + 1^2
d = √16 + 1
d = √17
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