Answer:
y = 43
Step-by-step explanation:
47° , y and 90° lie on the straight line AB and sum to 180° , that is
47 + y + 90 = 180
y + 137 = 180 ( subtract 137 from both sides )
y = 43
What does the point (7,84) represent in this situation?
The point (7,84) represents a precise location on a graph or coordinate plane.
A coordinate is a set of values that specifies the position or location of a point in a geometric space.
The point (7,84) represents a specific location on a graph or coordinate plane. The first number, 7, represents the point's position on the x-axis, which is a horizontal line that runs left to right. The second number, 84, represents the point's position on the y-axis, which is a vertical line that runs up and down. Together, the two numbers give us a precise location for the point.
In this situation, we don't have enough context to know what the point (7,84) represents. It could be the location of a city on a map, the amount of rainfall in inches on a specific day, or the price of a stock at a particular time. However, regardless of the situation, the point (7,84) is simply a specific location in a two-dimensional space that has been identified using coordinates.
To know more about coordinate here.
https://brainly.com/question/27749090
#SPJ4
Complete Question:
What does the point (7,84) represent in the graph? And define the explanation for each value.
Solve for r in terms of q, s, and t.
s = -tqr
r=
Answer:
I didn't understand the question 100% but I think the question is asking you to give an equation from the given one
so the answer will be
-s divided over tq
A large data set includes samples of body temperatures. Analyzing one sample of body temperatures results in n=107, x=98.19°F, and s=0.624°F. It is
commonly believed that humans have a mean body temperature of 98.6°F. If the analysis is repeated with a different sample and it is found that for 100
randomly generated samples, 38 of these generated samples have a mean that is as extreme as the mean of the actual sample, what should be concluded
about the assumed mean of 98.6°F? (Assume that an event is significant if it has a probability of 0.05 or less.)
Since 38 of the 100 samples have means that are as much as the sample mean, then that sample mean
strong evidence against the assumed mean of 98.6°F. It appears the population mean
▼98.6°F.
so there
The profanity filter refused my answer.
Please find it in the txt file.
Read more about statistics here:
https://brainly.com/question/15525560
#SPJ1
PART A
How many solutions does the system have? Explain.
PART B
Identify the slope and y-intercept of each line. What do you notice about
the slopes of the lines?
The slope and y-intercept of the equation y= -4/3 x-2 are -4/3 and -2 respectively.
What is slope of a 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.
In the given graph two lines are plotted.
Part A: From the graph, the two equations are intersected at (-1.5, 0) and the solution is (-1.5, 0).
Part B: Slope and y-intercept
Equations of lines from the graph are y=3/4 x+1 and y= -4/3 x-2.
For the equation y=3/4 x+1,
Compare, y=3/4 x+1 with y=mx+c, we get
Slope (m)= 3/4 and the y-intercept (c)=1
For the equation y= -4/3 x-2,
Compare, y= -4/3 x-2 with y=mx+c, we get
Slope (m)= -4/3 and the y-intercept (c)=-2
Therefore, the slope and y-intercept of the equation y= -4/3 x-2 are -4/3 and -2 respectively.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ9
question 12
help me asap
Answer:
ED = 4 cm
Step-by-step explanation:
given 2 secants from an external point to the circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and that entire secant, that is
CD × CE = CB × CA
8(8 + x) = 6(6 + 10) = 6 × 16 = 96 ( divide both sides by 8 )
8 + x = 12 ( subtract 8 from both sides )
x = ED = 4 cm
an urn contains 3 red and 7 black balls. (a) you randonly draw the balls out one by one without replacement. what is the probability that the last red ball was the 8th ball out?
The probability that the last red ball was the 8th ball out is 3/10
Number of red balls = 3 red balls
Number of black balls = 7 black balls
Then you randomly draw the balls out one by one without replacement.
The probability is the ratio of the number of favorable outcomes to the total number of outcomes
The equation will be
Probability = Number of favorable outcomes / Total number of outcomes
Total number of outcomes = 3 + 7
= 10
Substitute the values in the equation
The probability that the last red ball was the 8th ball out = 3/10
Therefore, the probability is 3/10
Learn more about probability here
brainly.com/question/11234923
#SPJ4
Question 10:
A plumber cut a
pipe into 5
equal pieces and had 27 cm of the pipe left. For a second
pipe 15m long, he cut 11 pieces of the same length as that of each piece cut from the
first pipe and had 15 cm of the second pipe left. What was the length, in cm, of each
shorter piece of the second pipe? What was the length of the first pipe originally?
If a plumber cut a pipe into 5 equal pieces and had 27 cm of the pipe left. the length of the first pipe originally is 702 cm.
How to find the length?Let's call the original length of the first pipe "L"
Let the length of each of the 5 equal pieces "x".
set up the equation:
5x + 27 = L
Each piece of the second pipe is "x" cm long. The second pipe is 15 m long, which is equivalent to 1500 cm. The plumber cut 11 pieces of the same length as each of the 5 equal pieces from the first pipe, so the total length of the 11 pieces is:
11x
The plumber had 15 cm of the second pipe left over after cutting 11 pieces, so we can set up another equation:
1500 - 11x = 15
Solving for "x" in the second equation:
11x = 1485
x = 135
So each piece of the second pipe is 135 cm long.
To find the original length of the first pipe, we can substitute x = 135 into the first equation and solve for L:
5x + 27 = L
5(135) + 27 = L
L = 702
Therefore, the original length of the first pipe was 702 cm.
Learn more about length here:https://brainly.com/question/2217700
#SPJ1
In a circle, a 315° sector has area 504π in2. What is the radius of the circle?
Let's call the radius of the circle "r". The formula for the area of a sector of a circle is given by:
(θ/360) * π * r^2,
where θ is the central angle of the sector in degrees.
In this case, we know that the central angle is 315° and the area of the sector is 504π, so we can set up an equation as follows:
(315/360) * π * r^2 = 504π
Solving for r, we can isolate it on one side of the equation:
r^2 = 504 / (π * (315/360))
To simplify the expression on the right-hand side, we can divide both the numerator and denominator by 45 (which is a factor of both 315 and 360):
r^2 = 504 / (π * (7/8))
Finally, taking the square root of both sides gives us:
r = sqrt(504 / (π * (7/8)))
So the radius of the circle is approximately 17.14 inches.
Shade ______ line
for greater than (>).
[tex]above \: the \: line[/tex]
A STORY OF RATIOS
A positive, finite decimal s is said to be written in scientific notation if it is expressed as a product d x 10", where d
is a finite decimal so that 1 ≤ d < 10, and n is an integer.
The integer n is called the order of magnitude of the decimal d x 10".
Are the following numbers written in scientific notation? If not, state the reason.
Exercise 1
1.908 x 1017
Exercise 2
0.325 x 10-2
Exercise 3
7.99 x 10³2
EUREKA
MATH
Lesson 9:
Scientific Notation
© 2019 Great Mindeurekamath.org
Exercise 4
4.0701 +10
Exercise 5
18.432 x 5
Lesson 9 Classwork 8.1
Exercise 6
8x 10-¹1
85
Exercise 1: Yes, 1.908 x 10^17 is written in scientific notation.
Exercise 2: Yes, 0.325 x 10^-2 is written in scientific notation.
Exercise 3: No, 7.99 x 10^32 is not written in scientific notation. The decimal d must be between 1 and 10, not between 10 and 100.
Exercise 4: No, 4.0701 + 10 is not written in scientific notation. The correct format is d x 10^n.
Exercise 5: No, 18.432 x 5 is not written in scientific notation. The correct format is d x 10^n.
Exercise 6: No, 8x 10^-11 is not written in scientific notation. The correct format is d x 10^n.
On the first night of Rosh Hashanah, David cuts 5 apples into slices and gives 3/8 of an apple to each of his guests. He has 2 apples left over. How many guests does david have? Let g equal the number of guests David has. Write an equation that represents the situation.
Based on the information provided, the number of guests was 8 guests and the equation to represent this situation is 3/8 x + 2 = 5.
How to calculate the number of guests?The first step to get to know the number of guests is to write an equation, this will help us discover the number of x or guests. To write the equation, let's include the variable and values given:
3/8 x + 2 = 5
Now, let's solve this equation:
0.375x + 2 = 5
x = 5 -2/ 0.375
x = 3 / 0.375
x = 8 guests
Based on the above, it can be concluded that the number of guests, in this case, was 8.
Learn more about equations in https://brainly.com/question/29657983
#SPJ1
Which quantity is unknown?
the number of guest
_____________________________________
Write an equation that represents the situation.
3/8g + 2 = 5
_____________________________________
How many guests does David have?
g = 8
suppose x is the number of times a woman is selected when 3 people are randomly chosen (without replacement) from a group of 2 women and 2 men. what are the possible values of x?
Suppose x is the number of times a woman is selected when 3 people are randomly chosen from a group of 2 women and 2 men, the possible values of x are 0, 1, 2, and 3.
When 3 people are randomly chosen without replacement from a group of 2 women and 2 men, there are a total of 4C₃ = 4 possible outcomes, which we can list as follows:
WWx (two women and one of either gender)
WMx (one woman, one man, and one of either gender)
MWx (one man, one woman, and one of either gender)
MMx (two men and one of either gender)
In each of these outcomes, x represents the number of times a woman is selected. We can see that the possible values of x are 0, 1, 2, and 3, depending on which outcome occurs.
In outcome 1 (WWx), a woman is selected twice, so x = 2.
In outcomes 2 (WMx) and 3 (MWx), a woman is selected once, so x = 1.
In outcome 4 (MMx), no women are selected, so x = 0.
Therefore, the possible values of x are 0, 1, 2, and 3.
To learn more about combinations click on,
https://brainly.com/question/11086288
#SPJ4
hello can anyone help me wiith this
Answer: Correct answer is -1
Step-by-step explanation:
what is the discriminant of 4x^2+4x-3=0
Answer:
-47
Step-by-step explanation:
The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
b^2−4 (ac)
Substitute in the values of a, b, and c.
1^2 − 4 (4 x 3)
Evaluate the result to find the discriminant.
Simplify each term.
One to any power is one.
1 − 4 (4 x 3)
Multiply
−4 (4 x 3)
Subtract 48 from 1.
-47
15a2+12b-9a2 Solve with step by step please
Answer:
(assuming the 2 was an exponent, if I am wrong don't use this answer) 6a^2 + 12b
Step-by-step explanation:
Add like terms
6a^2 + 12b
Could someone help me please??
Answer:
0.32958 kilometers per minute
Step-by-step explanation:
Distance covered = 26.219 miles
Step 1: Convert this distance to kilometers using the conversion( 1mi = 1.609 km)
==> 26.219 miles = 26.219 miles x 1.609 km/mile = 42.186371 km
This distance was covered in 128 minutes
Step 2: To find the speed in km/min, divide 42.186371 by 128
= 42.186371/128
= 0.32958 kilometers per minute
------------------------------------------------------------------------------------
We could also solve this problem using the following alternative technique
Step 1 Determine speed in miles/minute = 26.219/128 = 0.2048 m per min
Step 2: Multiply by conversion factor 1.609:
0.2048 x 1.609 = 0.32958 kilometers per minute
What is the complete square corresponding to x2 – 6x? A. (x – 1.5)2 B. (x – 3)2 C. (x – 4.5)2 D. (x – 9)
Answer:
So the answer is C. (x - 3)^2.
Step-by-step explanation:
The complete square corresponding to x^2 - 6x is (x - 3)^2.
A complete square is a trinomial that can be written in the form (x - a)^2, where a is a constant. To find the complete square of x^2 - 6x, we need to rewrite x^2 - 6x into the form (x - a)^2. We do this by adding and subtracting a constant term to make the trinomial a perfect square.
x^2 - 6x + 9 = (x - 3)^2
So the answer is C. (x - 3)^2.
32 children voted for thier favorite ice cream chocolate 3/8 so how may children voted for chocolate explanation step by step plssss
On solving the provided question we can say that The result of multiply the total number of kids by the proportion of those who enjoy chocolate is 12
What is Multiplication?Along with addition, subtractiοn, and division, multiplication is one of the four arithmetic operations. Multiplicatiοn in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals prοduct.
Specifically, multiplicand: First number (factοr). divider: Second number (factor). After multiplying the multiplicand and the multiplier, the result is knοwn as the product. Multiple additiοns are made while adding numerals. as in 5 times 4 Equals 5 + 5 + 5 + 5 = 20, I multiplied 5 by 4 times. Multiplication is frequently referred tο as "doubling" because οf this.
The result of multiply the tοtal number of kids by the proportion of those who enjoy chocolate is
32 × 3/8 = 12
To know more about multiply visit:
brainly.com/question/23536361
#SPJ1
On Thursday a theme park sells 627 tickets. Each ticket costs
£54.99. The park has costs of £18,273 on Thursday. What is the
percentage profit that the theme park make on Thursday?
Answer: The theme park made a 46.8% profit on Thursday.
Step-by-step explanation:
Step 1: First, we need to calculate the total revenue from ticket sales:
627 tickets x £54.99 = £34,341.73
Step 2: Subtract the costs from the total revenue:
£34,341.73 - £18,273 = £16,068.73
Step 3: Calculate the percentage profit:
£16,068.73 / £34,341.73 x 100 = 46.8%
The theme park made a 46.8% profit on Thursday.
is 10/x linear or nonlinear
Answer:
10/x is a nonlinear equation. Linear equations represent a straight line in a graph, whereas nonlinear equations are used to represent curves. In this case, the degree of variable y is 1 and the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
(x + 1) /x³ − 3x² + 6x +11.
The polynomial expression cannot be divided
How to divide the polynomial expressionFrom the question, we have the following parameters that can be used in our computation:
(x + 1) /x³ − 3x² + 6x +11.
The degree of the numerator is 1
While the degree of the denominator is 3
For a polynomial quotient to be evaluated, the degree of the numerator must be greater than the degree of the denominator
Because 1 is less than 3, then the polynomial expression cannot be divided
Read more about polynomial at
https://brainly.com/question/7693326
#SPJ1
Please help me answer this question 20 points
Answer:
uhhhh
Step-by-step explanation:
Suppose that a motorboat is moving at 83 ft/s when its motor suddenly quits, and that 1 s later the boat has slowed to 23 ft/s. Assume that the resistance it encounters while coasting is proportional to the square of its velocity so that dv/dt =-kv^2 where k > 0. How far will the boat coast in the first 2 minutes after its motor quits?
The boat will coast approximately 16752.9 feet (or about 3.17 miles) in the first 2 minutes after its motor quits.
From the problem statement, we know that the velocity of the boat, v, changes from 83 ft/s to 23 ft/s over a period of 1 second. Therefore, we can write:
[tex]dv/dt = -k v^2[/tex]
Separating variables and integrating from v = 83 at t = 0 to v = 23 at t = 1, we get:
[tex]∫83^23 dv / v^2 = ∫0^1 -k dt[/tex]
=> [1/83 - 1/23] = k
So the equation for the velocity of the boat as it coasts is:
[tex]dv/dt = -[(1/83 - 1/23)] v^2[/tex]
The differential equation is separable:
[tex]dv/v^2 = -[(1/83 - 1/23)] dt[/tex]
Integrating both sides, we get:
-1/v = [(1/83 - 1/23)] t + C
where C is an integration constant. Using the initial condition v(0) = 83, we get:
C = -1/83
Substituting this back, we have:
-1/v = [(1/83 - 1/23)] t - 1/83
Solving for v, we have:
v(t) = 83 / [1 + (83/23 - 1) t]
To find the distance traveled, we integrate v(t) from t = 0 to t = 120:
s =[tex]∫0^120 v(t) dt[/tex]
Substituting v(t) and simplifying, we have:
s = 23 ln(1 + 3.6087t) + 60.391t + C
where C is another integration constant. Using the initial condition s(0) = 0, we get:
C = 0
Therefore, the distance traveled by the boat in the first 2 minutes after its motor quits is:
s = 23 ln(1 + 3.6087t) + 60.391t
Evaluating this expression at t = 120 seconds, we get:
s = 23 ln(433.044) + 7246.92 ≈ 16752.9 ft
To learn more about integrating please click on below link
https://brainly.com/question/14502499
#SPJ4
With the given budget, what’s the farthest distance a truck can travel from the warehouse to the retail outlet?
Camden is working two summer jobs, making $10 per hour babysitting and making $18 per hour lifeguarding. In a given week, he can work no more than 14 total hours and must earn no less than $180. If Camden worked 9 hours lifeguarding, determine the minimum number of whole hours babysitting that he must work to meet his requirements. If there are no possible solutions, submit an empty answer.
Camden must work a minimum of 2 hours babysitting and 9 hours of lifeguarding to meet the requirements.
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
Let's call the number of hours Camden works babysitting "x".
We know that x + 9 (hours of lifeguarding) cannot be more than 14 and that his total earnings must be at least $180. So we can write two equations based on these conditions:
x + 9 ≤ 14 (hours worked can't exceed 14)
10x + 18 × 9 ≥ 180 (earnings must be at least $180)
Now we can substitute the first equation into the second:
10x + 18 × 9 ≥ 180
10x + 162 ≥ 180
10x ≥ 18
x ≥ 1.8
Since x has to be a whole number of hours, we round up to find that Camden must work at least 2 hours babysitting.
So, Camden must work a minimum of 2 hours babysitting and 9 hours of lifeguarding to meet the requirements.
Learn more about the solution of equation here:
https://brainly.com/question/15272274
#SPJ9
Complete the function for this graph.
1 y=|x-[?]|+[]
-Hint: y = |x - h| + v
The absolute value function on the graph is:
f(x) = |x + 2| + 3
How to write the function for the graph?We know that for an absolute value function with a vertex at (a, b), then the absolute value function is:
f(x) = |x - a| + b
Here we can see that the vertex is at the point (-2, 3)
Then:
a = 2
b = 3
The function will be:
f(x) = |x + 2| + 3
Laern more about absolute value functions at:
https://brainly.com/question/3381225
#SPJ1
2. Two observers are 600 ft apart on opposite sides of a flagpole. The angles of elevation from the
observers to the top of the pole are 19 and 21°. Find the height of the flagpole. Round to the nearest
foot.
The height of the flagpole is 110 feet.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
tan 19 = f/x
tan 21 = f/(600 - x)
Now,
tan 16 x = tan 21 x (600 - x)
0.34x = 0.38 x 600 - 0.38x
0.34x = 230 - 0.38x
0.34x + 0.38x = 230
0.72x = 230
x = 319
Now,
tan 19 = f/319
0.34 x 319 = f
f = 109.8
f = 110 feet
Thus,
110 feet is the height of the flagpole.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ1
A quilter created the following shape to use in a block for a new quilt. A six-sided figure with a large base of 16 inches. The side to the right of the base is 9 inches. The small side parallel to the base is 6 and two fifths inches. There are two sides that form a point at a right angle. The smaller is 6 inches, and the larger is 7 and one-half inches. What is the area of the shape for the quilt block? ninety-four and one half in2 one hundred sixty-six and one half in2 189 in2 333 in2
The total area of the quilt is: 166.5 square inches
How to determine the total area of the quilt?The six-sided figure is given, and we can deduce the following parameters from the question:
The shape is made of a triangle and a rectangle
The side lengths derived from the question are:
The triangle on top:
base: 6 inches and height: 7.5 inches
The rectangle at the bottom:
Base: 16 inches with a height of 9 inches
So, we have the total area of the figure to be
Area of figure = (1/2 * 7.5 * 6) + (16 * 9)
Area of figure = 22.5 + 144
Area of figure = 166.5 in²
Based on the parameters, the total area is 166.5 square inches
Read more about Area at: https://brainly.com/question/15351887
#SPJ1
in exchange of a square plot of side 96m,a man wants toaccquire a rectangular plot 180m long and of the same area of the square plot . find the width of the rectangular plot
If the length of the rectangular plot is 180m , then the width of the rectangular plot is 51.2 m .
The Area of square plot is ⇒ Area = (Side) × (Side),
In this case, Side is = 96m,
So , the area of the square plot is : A = 96m x 96m = 9216 m² .
The Area of Rectangular Plot is ⇒ A = (Length) × (Width) ;
We know that the area of the rectangular plot is the same as that of the square plot,
that means ⇒ Length × Width = 9216 m² ;
We also know that Length = 180m, so we substitute this value in the equation above ;
⇒ 180m × Width = 9216 m² ;
Dividing both sides by 180m ;
we get ;
⇒ Width = 9216/180 ;
⇒ Width = 51.2 m ;
Therefore, the width of the rectangular plot is 51.2 meters.
Learn more about Area here
https://brainly.com/question/15393483
#SPJ4
The given question is incomplete , the complete question is
In exchange of a square plot of side 96 m, a man wants to acquire a rectangular plot of 180m long and of the same area of the square plot .
Find the width of the rectangular plot .
The Grade 8 learners decided to start living more healthily.They will either jog or cycle.there are 125 Grade 8 learners and they jog and cycle in the ratio 3:2.calculate how many learners participate in each sport
Answer:
We can start by finding the total number of learners who participate in jogging and cycling by multiplying the ratio by the total number of learners. Let's say x is the number of learners who jog. Then, the number of learners who cycle is 2x.
The total number of learners who jog and cycle is 125, so:
x + 2x = 125
3x = 125
x = 125 / 3
x = 41.67
Since x represents the number of learners who jog, there are 41.67 learners who jog. Since the number of learners who cycle is 2x, there are 2 * 41.67 = 83.33 learners who cycle.
Since these are whole numbers of learners, we round up to the nearest whole number to get 42 joggers and 83 cyclists.
The number of students participating in each of the sports will be 75 for jogging and 50 for cycling.
Solution:
Let's assume that the number of students who participated in jogging will be 3x and those in cycling will be 2x
Given,
3x + 2x = 125
5x = 125
So, x = 25
Therefore, the number of students in jogging will be 3*25 = 75 and in cycling will be 2*25 = 50
Learn more about Ratios and Proportions here:
https://brainly.com/question/12024093