A triangle has three angles that measure 16˚, 38˚ and 126˚ will lead to
C) Infinite (More than one)How to know when infinite number of triangles are formedThere are an infinite number of triangles produced when no side is specified.
The three angles produce an unlimited number of distinct triangles if side lengths are not provided.
The option that offered just angles—namely, angles of 16˚, 38˚ and 126˚—and no sides—meets the requirement for the production of an infinite number of triangle sides.
When there are options have sides or a side is provided, but not in accordance with that, to form an infinite number of triangles.
This condition forms infinite number of triangles
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Answer:
C) Infinite (More than one)
Step-by-step explanation:
O No; there are y-values that have more than one x-value.
• No; the graph fails the vertical line test.
• Yes; the graph passes the vertical line test.
Yes; there are no y-values that have more than one x-value.
The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
How do functions work?According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.
Please refer to the image instead of the graph, which is related to it.
The graphic displays a graph.
A parabola is seen on the graph.
The vertical line test determines if a graph can be a function, as is common knowledge.
The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
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For a ride on a rental scooter, All paid a $7 fee to start the scooter plus 7 cents per minute of the ride. The total bill for All's ride was $20.58. For how many
minutes did All ride the scooter?
minutes
X
Answer:
194 minutes
Step-by-step explanation:
First you subtract $7 from $20.58 because that was the start fee and get 13.58. Then divide 13.58 by 0.07, and get 194.
Solve this equation . 6x = 72 for x
Answer:
x = 12
Step-by-step explanation:
6x = 72 ( isolate x by dividing both sides by 6 )
x = 72 ÷ 6 = 12
Answer:
Step-by-step explanation:
6x = 72
Here, 6 is in multiplication with the variable x.
We will move 6 to the right side. With this the 6 which was in multiplication with x will now go in division with 72, by rule.
x = 72/6
x = 12
therefore, x = 12
A soccer team earned money to travel to a tournament by earning $12 per hour to paint over graffiti in their neighborhood
for t hours. Their coach said she would double any money they earned.
How much did the soccer team earn in all?
Please write your answer as an expression
The expression for the total amount earned in t hours is 24t.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount earned per hour = $12
Amount earned in t hour = 12t
The amount is double.
The amount earned per hour.
= 2 x 12t
= 24t
Thus,
The total amount earned in t hours is 24t.
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URGENT!! A train travels from City A to City B. The table below shows the distance and the amount of time it takes on the train.
Distance (km) 9, 12, 18
Time (in minutes) 3, 4, 9
O The train does not always go the same distance each minute.
O The train appears to go the same distance each minute.
Predicted amount of time to travel 30 kilometers: __ minutes
The train does not always go the same distance each minute.
Predicted amount of time to travel 30 kilometers is equal to 47.52 minutes.
How to find an equation of the line of best fit for the data?In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).
In this scenario, the time (in minutes) would be plotted on the x-axis of the scatter plot while the distance (km) would be plotted on the y-axis of the scatter plot.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the distance (km) and time (in minutes), a linear equation for the line of best fit is given by:
y = 1.40x + 5.52
Next, we would determine the predicted amount of time to travel 30 kilometers:
y = 1.40(30) + 5.52
y = 42 + 5.52
y = 47.52 minutes.
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Natalie is the creator of Better Brain, a new mindfulness app for teens. The app currently has 1,262 downloads, and Natalie has set a goal of doubling the downloads every month.
Write an exponential equation in the form y=a(b)x that can model Natalie's goal for the number of downloads, y, in x months.
The exponential equation of the given statement will be equal to, 1262 ×[tex](2)^x[/tex].
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Total number of downloads initially = 1,262
Let the number of months be x.
Then, the equation will be,
y = 1262[tex](2)^x[/tex]
Here, y is the total number of songs.
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please answer ASAPPPP
formula: y = mx + b
current points we know:
m = 1/2
x = 10
y = 0
so we solve for the b value.
0 = 1/2 (10) + b
0 = 5 + b
(inverse operation we subtracted 5 on both sides)
-5 = b
so the equation for a line with slope 1/2 passing through the point (10,0) is
y = (1/2)x + (-5) or y = (1/2)x - 5
(not sure if this is correct...)
Find the slope of the line that passes through (9, 10) and (6, 17).
1) Simplify your answer and write it as a
proper fraction, improper fraction, or integer.
Answer:
-7/3
Step-by-step explanation:
The formula for finding the slope of a line using two points is:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
For this case, 9 is x1, 10 is y1
6 is x2 and 17 is y2
Insert these values in the formula and solve:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
17 - 10 7
---------- = --- = -7/3
6 - 9 - 3
what can we conclude about the endogeneity of an explanatory variable if the ols and 2sls estimates are significantly different? assume that the instrument used was exogenous.
Note that assuming that the instrument used was exogenous, one can conclude about the endogeneity of an explanatory variable if the OLS and 2SLS estimates are significantly different: "The explanatory variable is endogenous and therefore 2SLS should be considered." (Option C)
What is 2SLS?Two-stage least squares (2SLS) regression analysis is a statistical approach used in structural equation analysis. The OLS approach has been extended using this methodology. It is employed when the error terms of the dependent variable are associated with the independent variables.
The ordinary least squares (OLS) approach is a linear regression methodology used to estimate a model's unknown parameters. The strategy is based on reducing the sum of squared residuals between the expected and actual values.
2SLS is utilized as an alternate strategy when we encounter endogeneity Problems in OLS. Endogeneity arises when the explanatory variable correlates with the error word. Then we utilize 2SLS, which employs an instrumental variable. The outcome will be different because if there is endogeneity in the model, OLS will produce biased results.
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Full Question:
What can we conclude about the endogeneity of an explanatory variable if the OLS and 2SLS estimates are significantly different? Assume that the instrument used was exogenous. Select one:
a. The explanatory variable is not endogenous and therefore using 2SLS is ill-advised.
b. The explanatory variable is not endogenous and therefore OLS should not be used.
c. The explanatory variable is endogenous and therefore using 2SLS should be considered.
d. The explanatory variable is endogenous and therefore OLS should be used.
3.9 centimeters =
mm
Answer: 39 mm
Step-by-step explanation:
1 cm = 10 mm
3.9 cm = 39 mm
I just need to take 3.9 times 10 and you will get 39 mm
a deck of playing cards has 52 cards of which 12 are face cards what are the odds the top 3 are face cards
In a deck of playing cards has 52 cards of which 12 are face cards, The odds are 33 / 3315 or 0.01 that the top 3 are face cards.
The total number of cards was 52, and there were 12 face cards.
Probability equals the number of possible outcomes divided by the total number of possibilities.
The first attempt had a probability of 12/52,
the second attempt had a probability of 11/51,
and the third attempt had a probability of 10/50.
Therefore, the probability that each of the three cards are face cards is equal to 12 / 52 × 11 / 51 × 10 / 50 = 1320 / 132600 = 132 / 13260 = 33 / 3315
the probability that all three are face cards = 0.00995475113 ≈ 0.01
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Which function's graph is symmetric about the point (0,3)
y= x² - 4 is the function symmetric about the point (0,3).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We need to find the function's graph is symmetric about the point (0,3)
You want a parabola with a vertex at the point (0,3) so that is symmetrical on each side of that point.
Using the point (0,3),
The equation for a parabola in vertex form and then simplify:
Vertex = (h,k)
Vertex = (0,3)
y = (x - h)² + k
= (x - 0)² +3
y= x² - 4
Hence, y= x² - 4 is the function symmetric about the point (0,3).
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at a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door prize. if all 5 prizes are identical, in how many ways can the prizes be awarded?
If 5 guests are randomly selected from 17 guest and all 5 prizes are identical, there are 89107200 ways in which the prizes can be awarded.
It is given to us that -
17 guests are in attendance at a baby shower
5 of them are randomly selected for a prize
All the 5 prizes are identical
We have to find out the number of ways in which the prizes can be awarded.
In this case, we have to use the combination formula to find the required answer.
We know that the combinations of n number of objects taken r at a time can be represented by the formula as -
[tex]C(n,r) = r!\frac{n!}{(n-r)!}[/tex] ------ (1)
where,
n = total objects in the given set
r = total chosen objects from the given set
According to the given information, we have -
n = 17
r = 5
Substituting these values in equation (1), we have
[tex]C(n,r) = r!\frac{n!}{(n-r)!}\\= > C(n,r) = 5!*\frac{17!}{(17-5)!}\\= > C(n,r) = 5!*\frac{17!}{12!}\\= > C(n,r) = 89107200[/tex]
Therefore, if 5 guests are randomly selected from 17 guest and all 5 prizes are identical, there are 89107200 ways in which the prizes can be awarded.
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Guide
Leo argues that the measure of an exterior angle of a triangle is
equal to the sum of the measures of the two remote interior angles of
the triangle. He uses the diagram shown in his argument.
Xº
Leo writes the steps listed.
Step 1.r+x=180, since the sum of the measures of supplementary
angles is 180°
Step 2. p+q+r=180, since the sum of the measures of the angles
of any triangle is 180°
Which equations follow from step 1 and step 2 that Leo could use to
complete his argument?
r+x=p+q+r
r+x-r=p+q+r-r
x=p+q
p+q+r=180
bp+q+r-r=180-r
p+q=180-r
x+r=p+q+r
x+r-r=p+q+r+r
x=p+q+2r
(r+x) + (p+q+r)=180+180
2r+x+p+q=360
Answer:
Step-by-step explanation: It looks like Leo is trying to prove that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle. From the equations given, it seems that Leo is using the fact that the sum of the measures of supplementary angles is 180 degrees, and the sum of the measures of the angles of any triangle is 180 degrees, to try to prove his statement. Some equations that Leo could use to complete his argument might include:
x = p + q, which follows from the equation r + x = 180 and the substitution of p + q + r = 180
p + q = 180 - r, which follows from the equation p + q + r = 180 and the substitution of r + x = 180
x = p + q + 2r, which follows from the equation x + r = p + q + r and the substitution of r + x = 180
It's not clear from the information given whether these equations are sufficient to prove Leo's statement, as we don't have any information about the values of p, q, r, or x. However, these equations might be a good starting point for Leo to continue his argument.
Can someone explain this?
It looks like you are supposed to match those 20 given equations to their respective graph that the assignment gave you. Do you need help plotting them? If so, I can edit my answer and add a picture of the equations graphed.
Loui want to buy a kateboard that uually ell for 79. 91 how much doe thi counter by 12% what i the total cot of the kateboard if Loui ha to pay in tate ale tax of 6. 25% in anwer to Loui want to buy a kateboard that uually ell for 79. 91 how much doe thi counter by 12% what i the total cot of the kateboard if Loui ha to pay in tate ale tax of 6. 25% in anwer to the nearet thing
The total cost of the skateboard if Loui has to pay a state sale tax of 6. 25% is 72.26.
As per the given data, Loui wants to buy a skateboard that has an original price of 79.91, will be discounted 12 %, and will have a sales tax of 6.25 %.
When performing the calculations, remember to convert percent to decimal form and if needed, round to two decimal places since money must be rounded to the nearest cent.
First, we need to find the amount of the discount and then find the sale price (the price after the discount):
Sale price:
Original price - Amount of discount = 79.91 - 11.9 = 68.01
Now that we have the sale price, we can find the amount of tax and then the total cost:
Amount of tax = ( sale price) × (sales tax percent)
[tex]$$\begin{aligned}& =\ 68.01 \times \ 0.0625 \\& \approx \ 4.25 \end{aligned}$$[/tex]
Total cost = sale price + amount of tax
= 68.01 + 4.75
= 72.26
Therefore the cost is 72.26.
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Pleaseeeeeeeeee helppppppp
Comparing both given functions, we can state that: B. Function 1 has the greater rate of change; the slope is 2.
What is the Rate of Change/Slope of a Function?Another name for the rate of change of a function is the slope. It is calculated using the formula:
Slope / rate of change = change in y / change in x.
If the equation of a linear function is given in slope-intercept form as y = mx + b, the rate of change or the slope is represented by "m".
Given the first function as an equation, y = 2x - 6, the slope of this function is represented as 2. This means, the rate of change is m = 2.
To find the rate of change of function 2, use two points from the table, (1, -4) and (2, -5):
Rate of change / slope (m) = (-5 - (-4)) / (2 - 1) = -1/1
m = -1.
The slope value of 2 is greater than the slope value of -1, therefore, we can conclude that: B. Function 1 has the greater rate of change; the slope is 2.
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Siddhu bought an mp3 player that typically costs $120 when it was on sale for 20% off. He had to pay 7% sales tax on the sale price. How much did Siddhu pay for the mp3 player in all?
Answer:
$102.72
Step-by-step explanation:
If the mp3 player typically costs $120 and was on sale for 20% off, then the sale price would be 120 * (1 - 0.2) = $96.
If Siddhu had to pay 7% sales tax on the sale price, then the total tax he paid would be 96 * 0.07 = $6.72.
Therefore, Siddhu paid a total of 96 + 6.72 = $102.72 for the mp3 player when it was on sale with the sales tax included.
Find the measure of angle 1
A. 133 degree
B. 47 degree
C. 63 degree
D. 70 degree
Please help quickly!!!
(Picture provided)
Answer:
C, 47°
Step-by-step explanation:
All triangles equal 180°
To find the measure of angle 1, subtract the other angles from 180°
180 - 70 - 63 = 47
Help! My math teacher sucks so I hope you guys can help me with this question.
A cylinder has a volume of 5m cubed and a radius of 0.7m. What is the height of the cylinder to the nearest hundredth of a meter?
Answer:
1.80
Step-by-step explanation:
Answer:
Volume of a cylinder (v) = πr²h
Step-by-step explanation:
Given V = 5m³
r = 0.7m and π = 3.14
h= ?
using V = πr²h
5 = 3.14 x 0.7² x h
5 = 3.14 x 0.49 xh
5= 1.5386h
divide both side by 1.5386
5/1.5386 = h
h= 3.24970
h= 3.25m ( nearest hundredth)
Answer choices for each are in red equation of lines best fit
Based on the correlation coefficient from the technology data given, the data has a strong negative association.
How to interpret Correlation Coefficient?The correlation coefficient is defined as a statistical measure of the strength of a linear relationship that exists between two variables.
The possible range of values for correlation coefficient is from -1.0 to 1.0. This tells us that the values cannot be more than 1.0 nor be less than -1.0.
Thus, a correlation coefficient of -1.0 shows a perfect negative correlation, while a correlation coefficient of 1.0 shows a perfect positive correlation.
We are given a correlation coefficient of r = -0.9478.
Now, the closer the negative correlation is to -1 indicates a strong negative correlation while the farther it is from -1 indicates a weak negative correlation.
Thus, we can conclude that in this case where the negative correlation is closer to -1 than farther, it can be said to be a strong negative correlation.
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A hotel manager is adding a tile border around the hotel's rectangular pool. The length if 5 more than 3 times the width, as shown. The length of each tile is 1 foot. If the width of the pool is 24 feet, and each tile costs $1.04, what would be the total cost of the tile for the border
Answer: The two expressions that represent the perimeter of the rectangular pool include the following:
A. x + 3x + 1 + x + 3x + 1
E. 8x + 2
How to calculate the perimeter of a rectangle?
Mathematically, the perimeter of a rectangle can be calculated by using this equation;
P = 2(L + x)
Where:
P represents the perimeter of a rectangle.
L represents the length of a rectangle.
x represents the width of a rectangle.
Since the length is 1 more than 3 times the width, we have;
Length, L = 3x + 1
Therefore, the two expressions for the perimeter of this rectangle is given by:
P = 2(3x + 1 + x) = x + 3x + 1 + x + 3x + 1
P = 2(4x + 1) = 8x + 2
Next, we would determine the total cost as follows;
P = 8x + 2
P = 8(20) + 2
P = 162 feet.
Total cost = 1.86 × 162
Total cost = $301.32
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Complete Question:
A hotel manager is adding a tile border around the hotel's rectangular pool. Let x represent the width of the pool, in feet. The length is 1 more than 3 times the width, as shown. Find two expressions that represent the perimeter of the pool. Use the expressions to describe two ways to find the perimeter. The length of each tile is 1 foot. If the width of the pool is 20 feet, and each tile costs $1.86, what would be the total cost of the tile for the border?
A. x + 3x + 1 + x + 3x + 1
B. x + 3x + 1
C. 2x + 3x + 1
D. 8x + 1
E. 8x + 2
F. 4x + 1
Step-by-step explanation:
help!...Answer the questions about the following polynomial.
the blank with a drop down flap answer choices are, quartic, cubic, quadratic, linear, quintic
The expression represent a trinomial polynomial with three terms. The constant term is 1 , the leading term is 5, and the leading coefficient is 1 / 7.
What is a polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using operations such as addition, subtraction, multiplication and division.
Trinomials are the algebraic expressions with three unlike terms. Trinomial has three terms.
A constant term is a term in an algebraic expression that does not contain any variables and therefore is constant.
The leading term is the term with the highest power of x.
The leading coefficient of a polynomial is the coefficient found with the variable that has the largest exponent.
Therefore, the expression is a trinomial polynomial. This means it has 3 terms.
The constant term of the polynomial is 1 ,
The leading term is 5, and the leading coefficient is 1 / 7.
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Gabriel went shopping for a new phone. Sales tax where he lives is 5%. The price of the phone is $39. Find the total price including tax. Round to the nearest cent.
Answer:
$41.00
Step-by-step explanation:
To determine the total price of the phone including taxes, we need to first calculate the amount of sales tax by multiplying the price of the phone by the sales tax rate:
Sales tax = Price of phone * Sales tax rate
Sales tax = $39 * 5%
Sales tax = $1.95
Next, we can calculate the total price of the phone including taxes by adding the amount of sales tax to the price of the phone:
Total price including taxes = Price of phone + Sales tax
Total price including taxes = $39 + $1.95
Total price including taxes = $40.95
Rounded to the nearest cent, the total price of the phone including taxes is $41.00.
At a real estate agency, an agent sold a house for $306,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
There are [enter your response] workers in all
I NEED THE ANSWER RN PLS‼️‼️
Answer:
a 22950
b 4590
Step-by-step explanation:
7.5% of 306,000 is 22950
20% of 22950 is 4590
pls ans this question
Answer:
11 cm
Step-by-step explanation:
2x+x+6+x+4=30
4x+10=30
-10. -10
4x=20
/4. /4
x=5
now we find each length to find the longest
2(5)
10 cm
5+6
11 cm
5+4
9 cm
11 is the biggest one
Hopes this helps have a wonderful day
use the squeeze theorem to find the following limit when b − |x − a| ≤ f(x) ≤ b + |x − a|.
By using the squeeze theorem, we conclude that, [tex]$$\lim _{x \rightarrow a} f(x)=b .$$[/tex]
Limit of a function, Squeeze Law:
The squeeze theorem states that if f(x) ≤ g(x) ≤ h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them. We can use the theorem to find tricky limits like sin(x)/x at x=0, by "squeezing" sin(x)/x between two nicer functions and using them to find the limit at x=0
We say that a function f(x) approaches a limit L approaches a, or, [tex]$\lim _{x \rightarrow a} f(x)=L$[/tex]
if, for every number [tex]$\epsilon > 0$[/tex], however small, such that [tex]$|f(x)-L| < \epsilon$[/tex],
there always exists a number δ>0 such that
[tex]|x-a| < \delta \text {. }[/tex]
The Squeeze Law:
Suppose that g(x) ≤ f(x) ≤h(x) in some neighborhood of a and also that
[tex]$$\lim _{x \rightarrow a} g(x)=L=\lim _{x \rightarrow a} h(x)$,[/tex]
then,
[tex]$$\lim _{x \rightarrow a} f(x)=L .$$[/tex]
We have to find the limit of f(x) as x approaches to x.
Let [tex]$b-|x-a|=g(x)$[/tex] and [tex]$b+|x-a|=h(x)$[/tex].
Then we have the inequality, g(x) ≤ f(x) ≤h(x)
Let us see what happens to g(x) and h(x) as [tex]$$x \rightarrow a$.[/tex]
[tex]$$\begin{aligned}g(x) & =b-|x-a| \\\\lim _{x \rightarrow a} g(x) & =\lim _{x \rightarrow a} b-|x-a| . \\& =b\end{aligned}$$[/tex]
Similarly,
[tex]$$\begin{aligned}h(x) & =b+|x-a| \\\lim _{x \rightarrow a} h(x) & =\lim _{x \rightarrow a} b+|x-a| . \\& =b\end{aligned}$$[/tex]
We have the conditions required by the Squeeze law,
[tex]$$\lim _{x \rightarrow a} g(x)=b=\lim _{x \rightarrow a} h(x)$$[/tex]
so we conclude that, [tex]$$\lim _{x \rightarrow a} f(x)=b .$$[/tex]
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Bob pick 15 apple in 8 minute. Mary pick 16 apple in 16 minute. Suie pick 10 apple in 19 minute. Who picked apple fater?
By comparing the speeds of all the people, Bob picked apple the fastest.
What is speed?Speed is generally the change in distance per unit time. In this case instead of distance we can use the number of apples.
What is the formula of speed?For this question, speed of picking apples = no of apples / time (in minutes). For Bob, speed = 15/8 = 1.88 apples/minute
For Mary, speed = 16/16 = 1 apples/minute
For Suie, speed = 10/19 = 0.526 apples/minute
This shows that Bob picked apples the fastest.
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Solve by graphing.
y≥-x+2
y> -5x - 2
pls help ill mark u if u have the answer
The variables (x, y) have the solution (1, -3) in the system of linear inequality
System of Linear InequalityA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
In the question given
y ≥ -x + 2 ...eq(i)
y > -5x - 2 ...eq(ii)
Plotting this on a graphing calculator to find the point of intersection which will determine the solution of the graph;
The solutions to the variables (x, y) in the linear inequalities are (1 , -3)
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Find sin(17π/12) exactly.
I think it has to do something with splitting 17π/12 into π/3 + π/4 + 5π/6 and then using the sin/cos angle sum identities. Though when I tried this, it got complicated really quickly, so I'm not sure if this is the method I should be using.
Please refer to the photo taken.
Answer:
-(√2 +√6)/4
Step-by-step explanation:
You want the exact value of sin(17π/12).
Sine of sumThe sine can be written as ...
sin(17π/12) = sin(π +5/12π)
= -sin(5/12π) = -sin(2/12π +3/12π)
= -sin(π/6 +π/4)
= -(sin(π/6)cos(π/4) +cos(π/6)sin(π/4))
= -((1/2)(√2/2) +(√3/2)(√2/2))
= -(√2 +√6)/4
The sine of 17π/12 is -(√2+√6)/4.