Answer: 11.5
Step-by-step explanation:
[tex]\sin 35^{\circ}=\frac{x}{20}\\\\x=20 \sin 35^{\circ}\\\\x=11.5[/tex]
Help me pleaseeee I don't know what the answer is
Answer:
Not enough context
Step-by-step explanation:
We need the bar graph/information for the amount child and adult tickets cost.
I’m having trouble and knowing what the name of the line is.
the name of the line is both XY and YX
A rectangular parking lot must have a perimeter of 520 feet and an area of at least 12,000 square feet. Describe the possible lengths of the parking lot.
The required possible lengths of the parking lot is 300.
Explain perimeter and area.The perimeter of a shape is characterized as the complete length of its limit. The border of a not entirely set in stone by adding the length of the relative multitude of sides and edges encasing the shape.
The area of a shape is the "space encased inside the border or the limit" of the given shape. We compute the region for various shapes utilizing math equations.
According to question:Perimeter = 520 feet, area = 12000 feet
We know that,
Perimeter = 2(L + B)
2(L + B) = 520
(L + B) = 260--------(1)
And
Area = L×B = 12000
From equation(1),we get
L(L - 260) = 12000
L^2 - 260L = 12000
L^2 - 260L - 12000 = 0
On solving above quadratic equation
L = 300 or L = -40
Thus, possible value of length is 300.
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Solve this1
HURRY pleasee
Answer:
Part a
[tex]m = \dfrac{280-\boxed{140}}{\boxed{4} - 2} = \dfrac{\boxed{140}}{\boxed{2}}[/tex]
[tex]y = \boxed{70}x[/tex]
Part b.
The heart's resting rate is [tex]\boxed{70}[/tex] beats each minute
Step-by-step explanation:
Q6
Part a
The slope-intercept form of an equation is y = mx + b
where m is the slope and b the y-intercept ie the value of y when x is 0
Here we see when x = 0, y = 0 so the value of b is 0 and the equation is simply
y = mx
To compute m, all we have to do is take 2 points on the graph, find the difference in y values(called rise) and divide by the difference in x values(called run)
This would be [tex]\dfrac{y2-y1}{x2-x1}[/tex]
We are given y2 as 280(on the numerator). The corresponding x2 value from the graph is 4
We are given x1(on the denominator) as 2. The corresponding y1 value is 140 from the graph
So just fill in the missing values to get
[tex]m = \dfrac{280-\boxed{140}}{\boxed{4} - 2} = \dfrac{\boxed{140}}{\boxed{2}}[/tex]
The above simplifies to 70
So the equation is
[tex]y = \boxed{70}x[/tex]
Part b
The interpretation is:
The heart's resting rate is [tex]\boxed{70}[/tex] beats each minute
Please help question in photo
Is a = 9 a solution to the inequality below?
Answer:
No, 9 is not a solution to 12 [tex]\leq[/tex] a
Step-by-step explanation:
The expression 12 [tex]\leq[/tex] a states " 12 is less or equal to a." If a were 9, the statement would not be true, since 9 is less than 12. This contradicts the expression.
What is the simplest form of the expression (–11.7y – 3.3x) + 1.2x + (5.2y + x)?
–16.9y – 5.5x
–16.9y – 4.5x
–6.5y – 2.1x
–6.5y – 1.1x
Answer:
-6.5y - 1.1x
Step-by-step explanation:
Rearrange the problem to where like terms are closer together:
11.7y+5.2y + 1.2x + x - 3.3x
Simplify by adding the like terms and your final answer will be -6.5y -1.1x
Write a linear equation in the form y=mx+b that represents the table. x 0 1 2 3 4 y 15 13 11 9 7
Answer: A linear equation in the form y = mx + b can be determined by examining the values in the table. To find the value of m, we can use the formula for the slope of a line, which is (y2 - y1) / (x2 - x1). Using the first and last values in the table, we can compute the slope as (7 - 15) / (4 - 0) = -1/4.
Therefore, the equation that represents the table is:
y = (-1/4) * x + b
We can use any of the given points to find the value of b. For example, using the point (1, 13), we can solve the equation to find b:
13 = (-1/4) * 1 + b
b = 14 - 1/4 = 13 3/4
Therefore, the final equation that represents the table is:
y = (-1/4) * x + 13 3/4
Please help me urgently!!!!
Lots of points!!!
Answer:
See Picture
Step-by-step explanation:
PLS HELP!!!
I attached the question in the picture below
Solve the equation. Show your work. Express your answer as both a simplified mixed number and as a decimal.
−4.75+0.8x=−3.7
Answer: x = 1.3125
Step-by-step explanation:
−4.75+0.8x=−3.7
First, add 4.75 to both sides
0.8x = 1.05
Then divide by 0.8 on both sides
x = 1.3125
Answer:
x = 1.3125
Step-by-step explanation:
Find the equation of the line passing through the points (-1,-1) and (3,5).
Answer:
y = 2/3x + 3
Step-by-step explanation:
(-1,-1) (3,5)
5+1/3+1
6/4
2/3
y = 2/3x + b
5 = (2/3)(3) + b
5 = 2 + b
b = 3
y = 2/3x + 3
If the original quantity is 10 and the new quantity is 3, what is the percent decrease?
Answer:
The percent decrease is 70%.
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
2x - 3y = 9
x = 4 + y
Answer:
x = 3; y = -1
Step-by-step explanation:
2x - 3y = 9
x = 4 + y
Since the second equation is already solved for x, use the substitution method. Substitute 4 + y for x in the first equation and solve for y.
2x - 3y = 9
2(4 + y) - 3y = 9
8 + 2y - 3y = 9
-y = 1
y = -1
Now substitute -1 for y in the second original equation, and solve for x.
x = 4 + y
x = 4 + (-1)
x = 3
Answer: x = 3; y = -1
HELP! how do you solve it
Using Venn diagram, The value of x is equal to 15.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that 50 students study at least one of the subjects geography (G), mathematics (M) and history (H).
Thus, 18 study only mathematics. 19 study two or three of these subjects.
23 study geography.
G + M - (x + 7) = 23 + 18 -(x + 7) = 19
23 + 18 -(x + 7) = 19
41 - x - 7 = 19
x = 15
Therefore,the value of x is 5.
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Write the equation of the line that is parallel to y=-1/2x-3 and that will pass through the point (4,-1) . Write your answer in slope-intercept form
The equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.
What is the slope of the equation?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
To find the equation of a line that is parallel to y = -1/2x - 3 and passes through the point (4, -1), we can use the point-slope form:
y - y1 = m(x - x1)
where (x1, y1) is the given point, and m is the slope of the line.
Since the given line is parallel to y = -1/2x - 3, it has the same slope, which is -1/2. Substituting this value for m and the coordinates of the given point into the point-slope form, we get:
y - (-1) = (-1/2)(x - 4)
Combining like terms and multiplying through the parentheses, we get:
y + 1 = -1/2x + 2
Hence, the equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.
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Merissa and mykuria are planning a trip to Orlando to celebrate graduation. They want to buy a three-day ticket to their favorite but the also need to find a place to stay during their trip. the theme park, which costs $299 per person but they also need to find a place to stay during their trip. They found a beautiful vacation rental in Orlando that has room for a number of guests and costs a total of $872.50. If Marissa and Mykuria are able to fill the room up to its maximum capacity with their friends, the price that each person would have to pay for the entire trip would be 361.25.
1. define a variable to represent the unknown.
2 write an expression for the 3-day ticket rate per person plus the total rental cost.
3 Write another expression for the total amount paid per person for the trip, assuming Marissa and mykuria are able to get enough friends to come on the trip so that the vacation rental house will be at maximum capacity.
Let x represent the number of people coming on the trip.
The 3-day ticket rate per person plus the total rental cost is 299 + 872.50 = $<<299+872.50=1171.50>>1171.50.
The total amount paid per person for the trip, assuming Marissa and Mykuria are able to get enough friends to come on the trip so that the vacation rental house will be at maximum capacity, is 361.25. This can be represented as an expression as follows:
(299 + 872.50)/x = 361.25
This equation can be rearranged to solve for the value of x, which represents the number of people coming on the trip.
Two linear functions are shown. Which function has the greater initial value?
The function that has the greater initial value is function A
How to determine the function with the greater value?From the question, we have the following parameters that can be used in our computation:
Function A: table
Function B: y = 3x + 6
The initial value of a function is when the input value is 0
i.e. when x = 0
From the table, we have
x = 0 when y = 8
From the equation, we have
y = 3(0) + 6
y = 6
8 is greater than 6
Hence. function A has the greater initial value
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At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.20 and the cost of a large greeting card is $4.25. How much would it cost to get 5 small greeting cards and 4 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
Answer:
Q: How much are 5 small greeting cards?
A: $6
Q: How much are 4 large greeting cards?
A:$17
How much is it altogether? $23.
Step-by-step explanation:
Small greeting card cost: $1.20
Large greeting card cost: $4.25
Let's solve how much it would cost to get 5 small greeting cards.
5 (1.20)=6
So $6 for 5 small greeting cards
Let's solve how much it would cost for 4 large greeting cards
4 (4.25)= 17
So $17 for 4 large greeting cards.
I hope this helps!!! I didn't understand the question completely, so hopefully I added everything that you needed.
find the value of unknowns in each of the following
chapter matrices
with full workings and explanations
The value of the unknowns are w = 5 , x = 12 , y = 1 and z = 15
What is a Matrix?
In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object
A+B = B+A Commutative Law of Addition.
A+B+C = A +(B+C) = (A+B)+C Associative law of addition.
ABC = A(BC) = (AB)C Associative law of multiplication.
A(B+C) = AB + AC Distributive law of matrix algebra.
R(A+B) = RA + RB
Given data ,
Let the Matrix be A
Now , the given matrices are
[tex]2\left[\begin{array}{ccc}w&2\\5&z\\\end{array}\right] + 3\left[\begin{array}{ccc}2&x\\-2&-6\\\end{array}\right] =4\left[\begin{array}{ccc}4&7\\y&3\\\end{array}\right][/tex]
On simplifying the matrices , we get
[tex]\left[\begin{array}{ccc}2w&4\\10&2z\\\end{array}\right] + \left[\begin{array}{ccc}6&2x\\-6&-18\\\end{array}\right] =\left[\begin{array}{ccc}16&28\\4y&12\\\end{array}\right][/tex]
Now , from the distributive law of matrices ,
2w + 6 = 16 be equation (1)
4 + 2x = 28 be equation (2)
10 - 6 = 4y be equation (3)
2z - 18 = 12 be equation (4)
So on simplifying the equation , we get
2w + 6 = 16 be equation (1)
Subtracting 6 on both sides , we get
2w = 10
Divide by 2 on both sides , we get
w = 5
So on simplifying the equation , we get
4 + 2x = 28 be equation (2)
Subtracting 4 on both sides , we get
2x = 24
Divide by 2 on both sides , we get
x = 12
So on simplifying the equation , we get
10 - 6 = 4y be equation (3)
4y = 4
Divide by 4 on both sides , we get
y = 1
So on simplifying the equation , we get
2z - 18 = 12 be equation (4)
Adding 18 on both sides , we get
2z = 30
Divide by 2 on both sides , we get
z = 15
Therefore , the values are w = 5 , x = 12 , y = 1 and z = 15
Hence , The value of the unknowns are w = 5 , x = 12 , y = 1 and z = 15
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the volume of a cube decreases at a rate of 10 m/sec. find the rate at which the side of the cube changes when the side of the cube is 2 m.
If the volume of a cube decreases at a rate of 10 m/sec, then the rate at which the side of the cube changes when the side of the cube is 2 m is -0.83 meter per second
The rate of volume of the the cube decreasing = 10 meter per second
Consider the side of the cube is x
The volume of the cube = x^3
The rate of change of volume with respect to time
dV / dt = 3x^2 dx/dt
dV / dt = -10 meter per second
The dx / dt = (dV / dt) / 3x^2
We haver to find the rate at which side of the cube changes when the side of the cube is 2 meter
Then x = 2
dx / dt = -10 / (3 × 2^2)
= -10 / 12
= -0.83 meter per second
Therefore, the rate at which side of the cube changes when the side of the cubes is 2 meter is -0.83 meter per second
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What are the values of x and y in the figure ?
Answer:
[tex]x=64, y=72[/tex]
Step-by-step explanation:
Using the angle sum of a triangle, [tex]x=180-57-59=64[/tex].
Thus, the left hand triangle has angles of 42°, 64° (using vertical angles), and y°. It follows that [tex]y=180-42-64=74[/tex].
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The x-coordinate of the point is 9.
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line y = (2/3)x - 6 ______(1)
Now,
The line passes through a point (x, 0).
(x, 0) = (x, y) ______(2)
Now,
Putting (2) in (1) we get,
0 = (2/3)x - 6
6 = (2/3)x
x = 6 x 3 / 2
x = 9
Thus,
The x-coordinate of the point is 9.
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Edwina measured the length of this swimming pool by drawing similar triangles as shown. What is the best estimate of p, the length of the swimming pool?
The measure of length of side p is 33 ft .
What is measure of length?
Some of the commonly used units for measuring length are centimeters, millimeters, meters, inches, feet, yards, feet, etc. Some of the units to measure mass are pounds, ounces, kilograms, grams, centigrams, milligrams, etc.
Given as the length of the swimming pool measured by drawing similar triangle :
I.e The smaller Triangle similar to larger Triangle
Let o is the points of meeting of two triangles
And OAB is smaller triangle having sides OA , AB , BO
The measure of side OA = 8 ft
The measure of side AB = 12 ft
Again, OPQ is larger triangle having sides OP , PQ , QO
The measure of side OP = 22 ft
The measure of side PQ = p ft
∵ both Δ OAB and ΔOPQ are similar
The from similarity property
[tex]\begin{aligned}& \frac{P Q}{A B}=\frac{O P}{O A} \\& \text { l.e } \frac{p}{12}=\frac{22}{8} \\& \text { Or, } \frac{p}{12}=\frac{11}{4} \\& \therefore \mathrm{p}=\frac{11}{4} \times 12 \\& \text { or. } \mathrm{p}=11 \times 3 \\& \text { l.e } \mathrm{p}=33 \mathrm{ft}\end{aligned}[/tex]
Hence, the measure of length of side p is 33 ft .
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He John Hancock Building in Chicago i 455 meter tall, which i about 1,400 feet, or about a quarter of a mile high. It ha one of the fatet elevator in the world, traveling at 20. 5 mile per hour, or about 5 meter per econd. How many econd woud it take to travel the the length of the building?
The required number of seconds would it take to travel the the length of the building is 91.
What is speed and its formula?The equation for speed is basic like distance partitioned by time. You take the distance voyaged (for instance 3 meters) and gap it when (three seconds) to get the speed (one meter each second) Thus, we can characterize Speed as the pace of progress of position of an article toward any path.
According to question:We have,
length of the building = 455 meter
speed of elevator = 5 m/s
We know,
speed = distance/time
5 = 455/time
Time = 455/5
Time = 91 seconds.
Thus,time take to travel the the length of the building is 91 seconds.
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What are the x-intercepts for the graph below?
A. (0,5), (0, -2)
OB. (-5, 0), (-2, 0)
OC. (5,0), (2, 0)
OD. (0,-5). (-2, 0)
Answer:
B
Step-by-step explanation:
what is the slope and y-intercept of y= 7 over 5 x−5
A certain shampoo is available in two sizes. A 13.5-ounce bottle costs $2.19. what is its unit price
The difference between the two is only 0.01 %. The first size is a better purchase for Unit Price even though both might be rounded off to $0.3/oz.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
A shampoo's unit price is its cost per ounce. It is a straightforward division problem that may be solved with a simple calculator or pen and paper.
The first size weighs 14.2 ounces and costs $3.98.
This shampoo's unit price is ($3.98/14.2 oz) = $0.28/oz ( rounded off to nearest cent)
The second size weighs 33.9 ounces and costs $9.98.
The second shampoo's unit price is ($9.98/33.9 oz) = $0.29/oz (also rounded off to nearest cent)
Hence, There is just a 0.01% difference between the two. Even though both sizes may be rounded to $0.3/oz, the first size is the preferable choice in terms of unit price.
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Complete Question-
A certain shampoo is available in two sizes. A 13.5 ounce bottle costs $2.19, A 29.2 ounce bottle costs $5.37. Find the unit price for each size. then state which size is the better buy based on the unit price. Round your answers to the nearest cent.?
due today pls help thank youuuu
Check the picture below.
does this table represent a function 2,1 3,4 4,4 5,2 5,5
The answer is No because one x-value corresponds to two different
y-values.
What is the function?
Each element of X is given exactly one element of Y by a function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.
Here the given function is,
x y
3 4
4 4
5 2
5 5
From the table we can see that there are 2 values of x having same
y - value.
Hence, the given table does not represents a function.
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
A. x2 + (y – 3)2 = 36
B. x2 + (y – 5)2 = 6
C. (x – 4)² + y² = 36
D. (x + 6)² + y² = 144
E. x2 + (y + 8)2 = 36
The equation represents a circle that has a diameter of 12 units will be x² + (y - 3)² = 36. Hence, option A is correct.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the provided information in the question,
Use the equation of a circle,
(x -a)² + (y - b)² = r²
Here, a and b represent the center of the circle and r is the radius of the circle.
A center can be anywhere along the y-axis if it is (0, 3).
(x -0)² + (y - 3)² = 6²
x² + (y - 3)² = 36
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