The measure of angle W is 30 degrees.
What is the measure of angle W?The figure in the image is a right triangle.
Angle W = ?
Adjacent to angle W = 12
Opposite to angle W = 4√3
To determine the measure of angle W, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Plug in the values:
tan(W) = 4√3 / 12
Take the tan inverse
W = tan⁻¹( 4√3 / 12 )
W = 30°
Therefore, angle W measure 30 degrees.
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c) 2×x×3×y
im just typing now bc it says i need 20 characters but yh
Answer:
the answer is 6xy , hopefully that helped you
Answer:
2x^9 x
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x3" was replaced by "x^3".
STEP 1 :
Multiplying exponential expressions :
1.1 x4 multiplied by x3 = x(4 + 3) = x7
The Equation at the end of step 1 :
((2x7 • x) • x) • y
STEP 2: Final result :
2x^9 y
Hope this helps!
Brain-List?
Question
What is the name of the bolded part of this shape?
A three-sided figure. The corners of the figure are labeled A, B, and C. The side from endpoint A to endpoint B is in bold.
The bolded part of the given shape is a side. A side is a line segment that connects two adjacent vertices of a polygon.
a line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that
connects two points. A line has no endpoints and extends infinitely in both the direction but a line segment has two
fixed or definite endpoints. The difference between a Line segment and a ray is that a ray has only one endpoint and
its other end extends infinitely.
A polygon is a two-dimensional geometric shape that is made up of straight sides and angles.
A polygon can be concave or convex depending on the angles and lengths of its sides.
For example, a triangle is a convex polygon because all of its interior angles are less than 180 degrees.
On the other hand, a star polygon is a concave polygon because some of its interior angles are greater than 180 degrees.
Some common examples of polygons include triangles, squares, rectangles, pentagons, hexagons, and octagons.
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calculate the area of the triangle in front of the triangular prism?
The area of the triangle in front of the triangular prism is xy/2.
How do we define a triangular prism?The triangular prism is a three-dimensional shape with three rectangular and two triangular faces. The triangular faces are parallel to one another and the rectangular faces are perpendicular to the triangular edges.
What is meant by an area?The area of a shape is determined by the measurement of the surface of the shape.
The area of a triangle is base multiplied by the height of a triangle divided by 2.
We have to find the area of the front triangle which means the area of the one triangle.
Assume that the base of the triangle is x and the height of the triangle is y
So,
Area of triangle= ½ base×height
= ½ x × y
= xy/2
Therefore the area of a triangle is xy/2
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Help pleasee!!!!! ANDD thank
Answer: y-intercept: f(0)=1
Step-by-step explanation:
use p h o t o m a t h
Mr. Roush asked students to factor the expression 56x-8.
What is the correct factored expression that is equivalent to the original?
Answer:
8(7x-1)
Step-by-step explanation:
the expected value for a binomial probability distribution is group of answer choices e(x) = pn(1 - n) e(x) = p(1 - p) e(x) = np e(x) = np(1 - p)
The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.
The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.
The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.
Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.
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if f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 then g(f(x)) is
the answer is A. fggggggggtggg
estimate the value of 1573 + 1211
- 697.
Answer:
2087Step-by-step explanation:
1578+1211-697 2784-697 =2087 this is my answerI need help please I dont get this .
Answer:
Below
Step-by-step explanation:
The line has negative slope and y-axis intercept = 2 from inspection
two points on the line are needed to calculate the slope
find two easy to work-with points
like (-3,4) and (4,-1)
slope = (y1-y2) / ( x1-x2) = (4 - -1) / ( -3-4) = -5/7
Slope intercept form y = mx +b m is slope b is intercept of y-axis
soooo ... y = -5/7 x + 2
The graph is rather fuzzy:
I looked a little longer and decided points (-4,5) and (4,-1) may be more accurate:
slope = 5--1 / -4-4 =- 6/8 so then the answer would be y = -3/4x + 2
Slope, m = 1/4 Point (5,3)
Bpetro, this is the solution:
Let's recall that the general form of the line equation is:
y = mx + b
Let's find b, this way:
3 = 1/4 * 5 + b
3 = 5/4 + b
b = 3 - 5/4
b = 12/4 - 5/4
b = 7/4
In consequence, the equation of the line that passes through the point (5,3) with a slope of 1/4 is:
y = 1/4x + 7/4
Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works. If the number of pizzas varies directly with minutes, how many pizzas can Allan make in 3 hours? Please Help
Answer:
96 pizzas
Step-by-step explanation:
Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.
We are told that;
If the number of pizzas varies directly with minutes,
P ∝ M
P = kM
Hence:
8 = 15k
k = 8/15
How many pizzas can Allan make in 3 hours?
Convert 3 hours to minutes
1 hour = 60 minutes
3 hours = x
x = 3 × 60
x = 180 minutes
Hence,
M = 180 minutes
k = 8/15
P = kM
P = 8/15 × 180
P = 96 pizzas
Therefore, Allan can make 96 pizzas in 3 hours
Five friends had lunch together. Their
total bill was x dollars, including tax and
tip. They shared the cost equally and
each friend paid less than $10. Which inequality shows the possible solutions for x, the total amount of the bill?
A. x > 50
B. x < 50
C. x > 50
D. x < 50
Answer:
B and D are the same, but its less than 50 so X < 50
Step-by-step explanation:
HELP! WILL GIVE BRAINLIEST
Answer:
second answer
Step-by-step explanation:
6 is added to the
product of 7 and a number.
The equation model of the given statement in question is 6 + 7× x.
What are equation models and arithmetic?The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.
In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.
Given that;
6 is added to product of a number and 7
Now,
Let, the number multiplied by 7 be x,
=7*x
6 is added to the product;
= 6 + 7 × x
Therefore, the equation of model will be given as 6 + 7 × x;
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a book is 220 mm in width. what is this width in centimeters?; what is this width in meters?
The width of the book is 20cm and 0.2 mm.
To convert Milimeteres to other units, we can use :
1 cm = 10mm
1 m = 1000mm.
Width in centimeters = 200mm × 1/10
= 200/10 cm
= 20 cm
Width in meters = 200mm × 1/1000
= 200/1000 cm
= 2/10 cm
= 0.2 m
Therefore, the width of the book is 20cm and 0.2 mm.
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145 over 1000 in simplest form
29/200. 145 / 5 = 29, and 1000 / 5 = 200. 29 is a prime, so that's the lowest you can go: 29/200.
For each equation, enter two more equations using the same numbers that express the same relationship in a different way. 3+2=5
Answer:
\(3 = 5 - 2\)
\(2 = 5 - 3\)
Step-by-step explanation:
Given
\(3 + 2 = 5\)
Required
Express in different ways
The first way is:
\(3 + 2 = 5\)
Subtract 2 from both sides
\(3 + 2 -2= 5 - 2\)
\(3 = 5 - 2\) ------ (1)
Another way is:
\(3 + 2 = 5\)
Subtract 3 from both sides
\(3 - 3 +2 = 5 - 3\)
\(2 = 5 - 3\) --- (2)
A popular radio show recently suggested that when commuting on a bicycle, people tend to eat more doughnuts. To test this, you found a group of 8 people who would be willing to ride a bike to work for the next month. You first figure out how many doughnuts per week they ate on a normal basis, then you have them commute to work on a bike for a whole month! During the last week of their biking, you again measure how many doughnuts they eat (the data is provided below). Determine if there is any truth to the claims made in the radio show. Assume an alpha level of .05. Doughnuts Eaten: Before Bike Commuting: 2, 3, 6, 7, 4, 8, 6, 4 After Bike Commuting: 4, 5, 7, 8, 10, 8, 8, 6 N
ote: Please make show all of the steps we covered when formally testing hypotheses!
From the data and the results of the paired t-test, we have evidence to support the claim made in the radio show that people tend to eat more doughnuts after bike commuting
How do we calculate?The Null hypothesis states that there is no difference in the average number of doughnuts eaten before and after bike commuting.
The alternative hypothesis states that here is a difference in the average number of doughnuts eaten before and after bike commuting.
Differences = After Bike Commuting - Before Bike Commuting
Differences = (4-2), (5-3), (7-6), (8-7), (10-4), (8-8), (8-6), (6-4)
Differences = 2, 2, 1, 1, 6, 0, 2, 2
Sample mean= sum of differences / number of differences
Sample mean = ( (2 + 2 + 1 + 1 + 6 + 0 + 2 + 2) / 8
Sample mean = 2
Sample standard deviation (s) =√ [(sum of (difference - sample mean)²) / (number of differences - 1)]
Sample standard deviation (s) = √[(0² + 0²+ (-1)² + (-1)² + (4)² + (-2)² + 0² + 0²) / (8 - 1)]
Sample standard deviation (s) = √(10/7)
Sample standard deviation (s) = 1.195
t = (sample mean - μ) / (s / √n)
t = (2 - 0) / (1.195 / √8)
t = 2 / (1.195 / 2.828)
t = 2 / 0.423
t = 4.724
The critical t-value is obtained from a t-distribution table to be 2.365.
we can reject the null hypothesis, because the absolute value of the calculated t-value is greater than the critical t-value.
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Ready walks 1/2 miles in each 1/5 hour
Using the given information, Randy will walk 2 1/2 miles in one hour
Calculating Distance: Determining how far Randy will walk in one hourFrom the question, we are to determine how far Randy will walk in one hour
Let the distance Randy walks in one hour be x
From the given information,
Randy walks 1/2 mile in each 1/5 hour
If Randy walks 1/2 mile in each 1/5 hour
Then,
Randy will walk x miles in 1 hour
x × 1/5 = 1/2 × 1
x/5 = 1/2
Multiply both sides by 5
5 × x/5 = 5 × 1/2
x = 5/2
x = 2 1/2 miles
Hence, Randy will walk 2 1/2 miles
Here is the complete and correct question:
Randy walks 1/2 mile in each 1/5 hour. How far will Randy walk in one hour
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How many different ways are there to get 10 heads in 20 throws of a true coin?
After awarding its money this year, the program received a gift of $1,275. The program leader decided to award this money to an additional 15 students. How much money did each of these students receive?
Answer:
pls like and make me brainliest :)
Step-by-step explanation:
1275 divided by 15=$85 each
B. analyze relationships deloria says she can find the relative
frequency of nuts based on another relative frequency. what might
she be doing
nuts:3/30=15%
Deloria is analyzing the relationships between relative frequencies of nuts.
She has found that the relative frequency of a specific type of nut is 15%, which is calculated by dividing the number of that nut (3) by the total number of nuts (30).
Deloria might be comparing this relative frequency to other types of nuts to determine their prevalence or importance in a given context.
To calculate the relative frequency, we can divide the number of occurrences of the specific nut (3) by the total number of nuts (30):
Relative frequency = (Number of occurrences of specific nut) / (Total number of nuts)
Relative frequency = 3 / 30 = 0.1 = 10%
Therefore, the relative frequency of the specific type of nut is 10%, not 15%. It seems there was an error in the initial statement.
By analyzing relative frequencies, Deloria can compare the prevalence or importance of different types of nuts in a given context.
By calculating and comparing the relative frequencies of different types of nuts, Deloria can gain insights into the distribution and significance of each nut type within the dataset or sample.
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consider the experiment of rolling two dice. let x be the value of the first roll and y the sum of the two dice. find e(x | y ). i.e., give the value of e(x | y )(y) for all y.
The conditional expectation E(X | Y = y) for all y is:
E(X | Y = y) = (y + 1) / 2.
To find the conditional expectation E(X | Y = y), we need to calculate the expected value of X given that the sum of the two dice is y.
Let's consider all possible values of y from 2 to 12 (the possible sums of rolling two dice):
For y = 2:
The only possible combination is (1, 1). In this case, X can only take the value 1. Therefore, E(X | Y = 2) = 1.
For y = 3:
The possible combinations are (1, 2) and (2, 1). In both cases, the value of X is 1. Therefore, E(X | Y = 3) = 1.
For y = 4:
The possible combinations are (1, 3), (2, 2), and (3, 1). In these cases, the value of X can be 1, 2, or 3. Taking the average, we have E(X | Y = 4) = (1 + 2 + 3) / 3 = 2.
Similarly, we can calculate the conditional expectations for y = 5, 6, 7, 8, 9, 10, 11, and 12:
For y = 5: E(X | Y = 5) = (1 + 2 + 3 + 4) / 4 = 2.5
For y = 6: E(X | Y = 6) = (1 + 2 + 3 + 4 + 5) / 5 = 3
For y = 7: E(X | Y = 7) = (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5
For y = 8: E(X | Y = 8) = (2 + 3 + 4 + 5 + 6) / 5 = 4
For y = 9: E(X | Y = 9) = (3 + 4 + 5 + 6) / 4 = 4.5
For y = 10: E(X | Y = 10) = (4 + 5 + 6) / 3 = 5
For y = 11: E(X | Y = 11) = (5 + 6) / 2 = 5.5
For y = 12: E(X | Y = 12) = 6
In summary, the conditional expectation E(X | Y = y) for all y is given by:
E(X | Y = 2) = 1
E(X | Y = 3) = 1
E(X | Y = 4) = 2
E(X | Y = 5) = 2.5
E(X | Y = 6) = 3
E(X | Y = 7) = 3.5
E(X | Y = 8) = 4
E(X | Y = 9) = 4.5
E(X | Y = 10) = 5
E(X | Y = 11) = 5.5
E(X | Y = 12) = 6
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Express the following numbers as a ratio between an internet and a natural number: 1 2/5,. 3, -3 1/4, -27, 0
So, the ratios for the given numbers are:
7/5, 3/1, -13/4, -27/1, and 0/1.
1 2/5 can be expressed as the ratio 1/1 + 2/5 = 7/5
3 can be expressed as the ratio 3/1
-3 1/4 can be expressed as the ratio -13/4
-27 can be expressed as the ratio -27/1
0 can be expressed as the ratio 0/1
An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0.
A proportion is an equation that sets two ratios at the same value.
For example, if there is 1 boy and 3 girls you could write the ratio as:
1 : 3 (for every one boy there are 3 girls)1 / 4 are boys and 3 / 4 are girls0.25 are boys (by dividing 1 by 4)25% are boys (0.25 as a percentage)So, the ratios for the given numbers are:
7/5, 3/1, -13/4, -27/1, and 0/1.
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The number of solutions of (x 2 + 1) 2 + 2(x 2 + 1) - 3 = 0 is equal to
A. 1
B. 2
C. 3
D. 4
Need a correct explanation from everyone !!
To determine the number of solutions of the given equation, let's simplify it first:
(x^2 + 1)^2 + 2(x^2 + 1) - 3 = 0
Let's substitute a new variable, let's say u = x^2 + 1, to simplify the equation further:
u^2 + 2u - 3 = 0
Now, we have a quadratic equation in terms of u. To find the solutions for u, we can factorize the equation:
(u + 3)(u - 1) = 0
This equation will be true if either (u + 3) equals zero or (u - 1) equals zero.
For (u + 3) = 0, we have u = -3.
For (u - 1) = 0, we have u = 1.
Now, let's substitute back u = x^2 + 1:
For u = -3:
x^2 + 1 = -3
x^2 = -4
This equation has no real solutions because the square of any real number cannot be negative.
For u = 1:
x^2 + 1 = 1
x^2 = 0
This equation has a single solution: x = 0.
Therefore, the given equation has only one solution, x = 0.
The correct answer is A. 1.
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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer:
2
Step-by-step explanation:
simplify the equation to
\(2{x}^{2} + 2 + 2 {x}^{2} + 2 - 3 = 0\)
simplify again by combining lIke terms to get
\(4 {x}^{2} + 1 = 0\)
since x 2 can mean that x can be both a positive and negative number so there can be 2 solutions. they will both involve imaginary numbers because 4x 2 is guaranteed to be positive
true/false if y is a differentiable function of u and u is a differentaible function of u and u is a differentaible function of x, then y is a differentiable function of x
True. If y is a differentiable function of u and u is a differentiable function of x, then the chain rule states that y is a differentiable function of x.
The chain rule states that if y is a function of u and u is a function of x, then the derivative of y with respect to x is equal to the derivative of y with respect to u multiplied by the derivative of u with respect to x. This means that if y is a differentiable function of u and u is a differentiable function of x, then y is also a differentiable function of x.
In mathematics, a function is said to be differentiable at a point if it is possible to define the derivative of the function at that point. The derivative of a function is a measure of how the function changes as its input (or independent variable) changes. It is defined as the limit of the difference quotient, which is a measure of the rate of change of the function over a small interval around the point of interest.
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If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q→p?
O the original conditional statement
O the inverse of the original conditional statement
O the converse of the original conditional statement
O the contrapositive of the original conditional statement
Answer:
(c) the converse of the original conditional statement
Step-by-step explanation:
If a conditional statement is described by p→q, you want to know what is represented by q→p.
Conditional variationsFor the conditional p→q, the variations are ...
converse: q→pinverse: p'→q'contrapositive: q'→p'As you can see from this list, ...
the converse of the original conditional statement is represented by q→p, matching choice C.
__
Additional comment
If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.
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Complete the equation describing how x and y are related.
The equation of the related data is y=3x-2.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
From the given table we can take two points to find the slope.
(-2, -8) and (-1, -5)
m=-5-(-8)/-1-(-2)
=3/1=3
Now we need to find the y intercept.
-8=3(-2)+b
-8=-6+b
-8+6=b
-2=b
So the equation will be y=3x-2
Hence, the equation of the related data is y=3x-2.
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A triangular prism is 12 meters long and has a triangular face with a base of 8 meters and a height of 9 meters. What is the volume of the triangular prism?
The volume of the triangular prism is 216 cubic meters.
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.
Calculate the area of the triangular base.
The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.
Plugging in the values, we get:
Area = (1/2) * 8 meters * 9 meters = 36 square meters.
Multiply the area of the base by the length of the prism.
The length of the prism is given as 12 meters.
Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.
Adjust for the shape of the prism.
Since the prism is a triangular prism, we need to divide the volume by 2.
Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.
Therefore, the volume of the triangular prism is 216 cubic meters.
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Please solve this giving 150 points plus the crown
I have been looking everywhere for this and still can't find it so please help me please odnt spam/scam me because it took me a while to gt the points.
Answer:
money saved = 1.5 x time
Step-by-step explanation:
Find the gradient with rise over run
3/2 = 1.5
Answer:um i think money saved = 1.5 x time
im not 100% sure but i think it is right
Step-by-step explanation: