9514 1404 393
Answer:
BC ≈ 9.6 mi
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle.
Tan = Opposite/Adjacent
tan(58°) = BC/(6 mi)
BC = (6 mi)tan(58°)
BC ≈ 9.6 mi
The city council is considering a law that would ban smoking in all public facilities. A sample has been selected from the community and tested for support of the ordinance. Is there a statistically significant relationship between age and support for the anti-smoking law? Use the five step model as a guide and write a sentence or two interpreting your results.
Age
Less than 40 More than 40
SUPPORT For 145 78 223
Against 103 169 272
Total 248 247 495
Answer:
Reject Null Hypothesis given that P-value < ∝
Step-by-step explanation:
Applying the Five ( 5 ) step model and assuming ∝ = 0.05
First step : determine the Null hypothesis
H0 : Age and support for Anti-smoking = independent
Second step : Determine the alternate hypothesis
Ha : Age and support for Anti-smoking ≠ independent
Thirdly : Identify significance level ( ∝ ) = 0.05
4th step : Calculate the Test statistic and P-value
Chi-squared test = 36.1429 using excel function
P-value = 1 - CHISQ.DIST(36.1429, 1, TRUE) < 0.0001
finally : we can conclude that Age and support for Anti -smoking are not Independent hence we Reject The Null hypothesis. Given that
P-value < ∝
How do you find the equation of a scatter plot?; Which line best represents the data in the scatter plot?; Which equation best represents the line of best fit for the scatterplot?; Which data are shown by the scatter plot?
An illustration of the relationship between two sets of data is a scatter plot. A scatter plot's data can occasionally be used to determine a mathematical relationship between two variables. A scatter plot's equation can be determined manually in one of two ways: graphically, or via a method known as linear regression.
How to Make a Scatter Plot
Graph paper can be used to make a scatter plot. Identify the origin, draw the x- and y-axes, and make sure they intersect. Make sure the x- and y-axes have the proper titles as well. Plot each data point on the graph after that. Any patterns between the plotted data sets ought to be clear at this point.
Finding the equation is simple once a line of best fit has been drawn on a scatter graph. y = mx + c is the general formula for a straight line.
where c is the line's y-intercept and m is the line's slope (gradient). Find two places along the line to get the gradient. Let's assume for the purposes of this example that the two points are (1,3) and (0,1). By dividing the difference in the x-coordinates by the difference in the y-coordinates, it is possible to determine the gradient.
In this instance, the gradient is equal to 2. The equation for the straight line up until this point is y = 2x + c.
By swapping the values for, one can get the value for c.
a well-known fact. As an illustration, one of the well-known points is (1,3). Rearrange this for c after plugging it into the equation:
3 = (2 × 1) + c \\ c = 3 - 2 = 13=(2×1)+c\sc=3−2=1
In this instance, the solution is y = 2x + 1.
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The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
Tyler has two maps of Ohio
Answer:
that’s nice good for him
A pattern has 32 blue squares for every 35 purple squares. What is the ratio of blue squares to purple squares?
Answer:
32:35 is the ratio to your question.
Blue squares : Purple squares = 32 : 35
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
A pattern has 32 blue squares for every 35 purple squares.
∵ 32 Blue squares : 35 Purple squares
∴ Blue squares : Purple squares = 32 : 35
The ratio of blue squares to purple squares = 32 : 35
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Samantha is making lemonade for her friends. The recipe makes 2 quarts of lemonade. Samantha says that 2 quarts will make 4 cups of lemonade, just enough for each of her friends to have one cup. Is she correct? Justify your thinking.
brainliest will be given to the first one who answers correctly please answer asap!
Answer:
Not enough info given. How many friends are there? if she has 3 friends over then yes because she will have enough lemonade for all of her friends and her to have 1 cup of lemonade. If she has more than 3 friends over, then no will not, she will have to double the recipe to assure there is enough.
Step-by-step explanation:
I hope this helps somewhat. Sorry if it's not correct
Pls, help asap! I am struggling and this is my last attempt to get full credit.
Answer:
On a number line, the solution x = -10 would be located to the left of the origin (0) by a distance of 10 units. So, you would mark the point representing -10 on the number line to the left of 0.
The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.
v (t) = 25,900(0.95)'
Find the initial value of the car and the value after 13 years.
Round your answers to the nearest dollar as necessary.
So, the value of the car after 13 years is approximately $13,330.
What is initial value?In mathematics, an initial value refers to the value of a function or a variable at a specific starting point or initial condition. For example, when solving a differential equation, the initial value is the value of the function at the starting point or initial time.
In the context of calculus, the initial value of a function f(x) at a point x=a is denoted by f(a). In the context of differential equations, the initial value of a function y(x) at a point x=a is denoted by y(a) or y(a) = y0.
he given exponential function can be written as:
\(v(t) = 25,900(0.95)^t\)
where t is the age of the car in years.
To find the initial value of the car, we need to evaluate v(0):
\(v(0) = 25,900(0.95)^0\)
\(v(0) = 25,900(1)\)
\(v(0) = 25,900\)
So, the initial value of the car is $25,900.
To find the value of the car after 13 years, we need to evaluate v(13):
\(v(13) = 25,900(0.95)^{13}\)
v (13) ≈ 13,330
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The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?
Answer:
the equation is : 7x + 15 + 15 = 17xand x = 3Step-by-step explanation:
The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?
7x + 15 + 15 = 17x
30 = 10x
x = 3
--------------------
check
7×3+15+15=17×3
21 + 30 = 51
51=51
the answer is good
Answer:
17x=30+7x
Step-by-step explanation:
the base of a certain solid is the region r. cross sections through the solid taken perpendicular to the x-axis are squares. an integral that expresses the volume of the solid is:
The integral\($\int_{-\infty}^{\infty} f(x)^2 dx$\) expresses the volume of the solid, where f(x) is the side length of the square cross sections taken perpendicular to the x-axis in the region r.
The given integral \($\int_{-\infty}^{\infty} f(x)^2 dx$\) expresses the volume of the solid whose base is the region r. The integral is calculated by taking the cross sections of the solid perpendicular to the x-axis and consider them as squares. The side length of each square is denoted by f(x). The integral is calculated over the region r, which is the base of the solid. This integral is the sum of the areas of all the squares, which is equivalent to the volume of the solid. The integral is calculated by taking the lower limit of integration as\($-\infty$\) and the upper limit of integration as\($\infty$\). Hence, the integral \($\int_{-\infty}^{\infty} f(x)^2 dx$\) expresses the volume of the solid with the base region r and square cross sections.
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Write an explict formula for the sequence 7,2,-3,-8,-13
Write an explict formula for the sequence 7,2,-3,-8,-13
we have
a1=7
a2=2
a3=-3
a4=-8
a5=-13
Find the commom difference d
d=a2-a1=2-7=-5
d=a3-a2=-3-2=-5
d=a4-a3=-8-(-3)=-5
d=a5-a4=-13-(-8)=-5
so
d=-5
In this problem we have an artithmetic sequence
so
an=a1+d(n-1)
we have
a1=7
d=-5
substitute
an=7+(-5)(n-1)
an=7-5n+5
an=12-5n
therefore
the answer is
an=12-5nThe length of a rectangle is 3 times the width. The area of this rectangle is 243 feet squared.
What are the dimensions?
Width =____feet (this is the short side)
Length=____feet (this is the long side that is 3 times the width)
Step-by-step explanation:
width = x
length= 3x
Area = length * width
243=3x * x
3÷243 =3x^2÷3
√81=√x^2
x=9
3x=3*9=27
Width=9
Length=27
I’ll pay $20 in cashapp for whoever can do this
Answer:
10
Step-by-step explanation:
Determine the intercepts of the line. Do not round your answers. y = − 3 x + 12
What is 5 ÷ 1 ? PLEASE HELP!!!
Answer:
5 / 1 = 5
Step-by-step explanation:
Say you are having 5 chocolates and you are dividing them equally to 1 person... then, how many chocolates will you give ??
all 5 right...
Answer:
5/1=5is your answer. hope this helps
True or False: A line perpendicular to x=7 has a slope of 0
Answer:
True, I believe
Step-by-step explanation:
Answer:
The answer is yes because its horizontal
Can the following quadrilateral be proven to be a parallelogram based on the given information? Explain.
(picture shown below)
A.) No. It cannot be proven because at least two of the adjacent angles are not congruent to each other
B.) Yes. It can be proven because both pairs of opposite sides are congruent.
C.) No. It cannot be proven because it does not have an angle that is supplementary to both of its consecutive angles.
D.) Yes. It can be proven because both pairs of opposite angles are congruent.
Answer:
Step-by-step explanation:
The answer is, no!
Step-by-step explanation:
The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.
So, here is the given information on what we need to classify a shape as a parallelogram:-
1) Parallel Sides
2)Opposite Sides are equal.
3) Adjacent sides are not equal.
4) Opposite angles are equal.
5)Adjacent angles are not equal.
Based on this, we can classify a shape as a parallelogram.
Hope, this answer helps!
Use this image to answer the following question. The ice cream shop needs 5 pounds of strawberries for every gallon of strawberry ice cream. The shop chose to produce 4 gallons of chocolate ice cream. How many pounds of strawberries should the shop purchase?
24
30
40
60
Answer: 60
Step-by-step explanation: The thing does the thing and it's 60..
I took the test it's right.
The solution is , 20 pounds of strawberries should the shop purchase.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
As per the question , the ice cream shop needs 5 pounds of strawberries for every gallon of strawberry ice cream and the shop choose to produce 4 gallons of ice cream ,
So, we get the following information:
Quantity of chocolate ice cream produced by the shop = 4 gallons
Quantity of strawberries required for each gallon of ice cream = 5 pounds
Therefore,
Pounds of strawberries required to be purchased by the shop = Quantity of chocolate ice cream produced by the shop Quantity of strawberries required for each gallon of ice cream
= 4 × 5
= 20 pounds .
Hence, The solution is , 20 pounds of strawberries should the shop purchase.
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stephine puts 30 cubes in a box.the cubes are 1/2 inch on each side.the box holds 2 layers with 15 cubes in each layer.what is the volume of the box
The Volume of the box is 3.75in³
Volume of a cubeThe volume of the box is dependent on the volume of the cube in it.
To obtain the volume of a cube, we use the relation, V = s³
s = side of the cube
For each cubeVolume = 0.5³ = 0.125 in³
Number of cubes in box = 30
Volume of the boxVolume of each cube × Number of cubes
0.125 × 30 = 3.75 in³
Hence, the volume of the box is 3.75in³
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What is the best description of originality?
nonobvious
special or interesting
convergent
having a low probability, unique
Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.
An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.
Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.
Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.
Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.
In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
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2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Last year, Liz gave 90 piano performances. This year, she gave 126 piano performances. What is the percent of increase in the annual number of performances?
Answer:
40%
Step by step explanation is given above
Question 3 of 10
Which of the following shows the polynomial below written in descending
order?
5x3x+9x7+4+3x11
OA. 9x² + 5x³+4+3x¹¹ - x
OB. 3x¹¹ +9x7 + 5x³ − x + 4
OC. 3x¹1 +9x7-x+4+5x³
D. 4+ 3x¹¹+
D. 4+ 3x¹1 +9x7 + 5x³ - x
Answer:
B. 3x¹¹ +9x⁷ +5x³ −x +4
Step-by-step explanation:
You want to identify the polynomial that has terms written in descending order of their degree.
DegreeThe degree of a term is the exponent of x in that term. In the given polynomial, the term degrees are 3, 1, 7, 0, 11.
When these are put into descending order, that order is ...
11, 7, 3, 1, 0
Standard formThe answer to this question will be the polynomial with terms written in the order of their degree as shown above:
3x¹¹ +9x⁷ +5x³ −x +4
__
Additional comment
When the exponent of x is 0, the value of the term x^0 is 1. That is why we can say the constant term is a term that has the variable to degree 0.
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please help! a point is chosen at random in the square, what percent of the time will the point be in the circle,round to the nearest tenth of a percent?
Answer:
78.5%
Step-by-step explanation:
You take the area of the circle which is pie*r^2
and divide it by the area of the square
orthogonal projection onto plane 1 point possible (graded) find an expression for the orthogonal projection of a point onto a plane that is characterized by and . write your answer in terms of , and . (enter theta 0 for the offset . enter norm(theta) for the norm of a vector . use * to denote the dot product of two vectors, e.g. enter v*w for the dot product of the vectors and . )
This is the expression for the orthogonal projection of v onto the plane P characterized by θ and θ_0 is, proj_P(v) = [v₁ - (v₁ cos(θ) + v₂ sin(θ)) cos(θ), v₂ - (v₁ cos(θ) + v₂ sin(θ)) sin(θ)]
Let's assume that the plane P is given by the normal vector n = [cos(θ), sin(θ)], and a point on the plane is given by r = [cos(θ_0), sin(θ_0)].
To find the orthogonal projection of a point v onto P, we need to find the component of v that lies in the direction of the normal vector n, and then subtract that component from v. This can be done using the dot product of v and n:
proj_n(v) = (v · n) / ||n||^2 × n
where · denotes the dot product, ||n|| is the length of n, and proj_n(v) is the projection of v onto n.
To find the projection of v onto P, we need to subtract the projection of v onto n from v:
proj_P(v) = v - proj_n(v)
= v - (v · n) / ||n||^2 × n
Substituting the expressions for n and θ, we get:
proj_P(v) = v - (v · [cos(θ), sin(θ)]) / (cos^2(θ) + sin^2(θ)) × [cos(θ), sin(θ)]
= v - (v₁ cos(θ) + v₂ sin(θ)) / (cos^2(θ) + sin^2(θ)) × [cos(θ), sin(θ)]
= v - (v₁ cos(θ) + v₂ sin(θ)) / 1 × [cos(θ), sin(θ)]
= [v₁ - (v₁ cos(θ) + v₂ sin(θ)) cos(θ), v₂ - (v₁ cos(θ) + v₂ sin(θ)) sin(θ)]
where v₁ and v₂ are the components of v in the x and y directions, respectively. This is the expression for the orthogonal projection of v onto the plane P characterized by θ and θ_0.
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The given question is incomplete, the complete question is:
Find an expression for the orthogonal projection of a point v onto a plane P that is characterized by θ and θ_0. Write your answer in terms of v, θ and θ_0
Plz help yo boi out thank u
Answer:
either the first or second but id go with the second one!
Step-by-step explanation:
Simplify
8!/(8-2)
A. 720
b. 0.018
C. 8
d. 56
e. 40320
f. 1.333
Answer:
D) 56
Step-by-step explanation:
\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
Rotation
Step-by-step explanation:
Its not a dilation because that is making a shape bigger or smaller, assuming you can only do one it cant be a reflection. and none is wrong. so It has to be rotation
Write the equation of the line in slope-intercept form that passes through (3, 10) and (2, 4)
Answer:
y=6x-8
Step-by-step explanation:
10-4/3-2
m=6/1
y=mx+b
y=6x+b
4=6(2)+b
4=12+b
-8=b
y=6x-8
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1833 yes votes, what was the total
number of votes?
Answer: 1,222
Step-by-step explanation:
I would set this up as a fraction
3/2=1833/x
I would divide 1833 by 3 to see what the multiple is that would be used to find the equivalent fraction. Then multiply that number by 2 to solve for x.
Another option is to cross multiply
3x=2(1833)
1833*2=3666
Divide 3x by 3 to get x alone
Divide 3666 by 3 to get answer
1222