Answer:
50
Step-by-step explanation:
The measure of the angle ∠A will be 50°. The correct option is A.
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.
Given that the two angles are 85 and 145. The internal angles will be calculated as,
180 - 85 = 95
180 - 145 = 35
The angle A will be calculated as below,
∠A = 180 - 35 - 95
∠A = 50°
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Which choice is equivalent to the quotient shown here when x > 0?
√22x6 = √11x4
Answer:
Option B
Step-by-step explanation:
sqrt(22x^6) / sqrt(11x^4) = sqrt(2x^2)
sqrt(2x^2) can be rewritten as x sqrt(2)
2. (12 points) You are managing a squad of fire department helicopters. There is a fire that needs tobe put out, and several helicopters in the area could help. On the gridded map below, each unit is 1mile:
For A.
First, we need to calculate the distance between Helicopter 1 and the fire
Fire (-3,-5)
Helicopter 1 (1,4)
the formula of the distance between 2 points is
\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)where
(-3,-5)=(x1,y1)
(1,4)=(x2,y2)
we substitute the values
\(\begin{gathered} d=\sqrt[]{(1+3)^2+(4+5)^2} \\ d=\sqrt[]{4^2+9^2} \\ d=9.85\text{ miles} \end{gathered}\)We didn't send helicopter 1 because it is a located 9.85 miles from the fire and it is only useful if it is within 9 miles so we don't send it
For B.
we need to calculate the distance between the fire and Helicopters 2 and 3
Helicopter 2 (-2,3)
Helicopter 3(4,-2)
Distance between helicopter 2 and the fire
(-2,3)=(x1,y1)
(-3,-5)=(x2,y2)
\(\begin{gathered} d=\sqrt[]{(-3+2)^2+(-5-3)} \\ d=\sqrt[]{65} \\ d=8.06 \end{gathered}\)Distance between helicopter 3 and the fire
(4,-2)=(x1,y1)
(-3,-5)=(x2,y2)
\(\begin{gathered} d=\sqrt[]{(-3-4)^2+(-5+2)^2} \\ d=\sqrt[]{58} \\ d=7.6 \end{gathered}\)as we can see the distance between the fire and helicopter 2 is bigger than 8, the distance between helicopter 3 and the fire is less than 8 therefore we will send the Helicopter 3
x – a is the factor of a polynomial P(x) if P(a) is equal to
we know that
If (x-a) is a factor of P(x)
then
For x=a
the value of P(a)=0
therefore
the answer is option DDoes the line appear to be a line of
symmetry of the triangle? Explain.
Please and thank you
Answer:
No, the two sides are not congruent.
I flipped my whole laptop around to check loll
A snail crawled 3/4 inches in 1/5 of a minute how many inches can a snail crawl in 1 minute
Answer:
a
Step-by-step explanation:
A trail map has a scale of 3 inches to 2 miles. On the map, a trail is 5 1/4 inches long.
5 1/4 inches long.
How long is the actual trail?
A. 1 and 3/4 miles
B. 2 and 5/8 miles
C. 3 and 1/2 miles
D. 7 and 7/8 miles
Answer: the answer is C
Step-by-step explanation:
On the map, a trail is 5 1/4 inches long, its actual length is 3 and 1/2 miles. Option C is correct.
As given that, A trail map has a scale of 3 inches to 2 miles. To determine the actual length of the measure 5 1 / 4 inches in miles.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
3 inches = 2 miles
1 inches = 2 / 3 miles
multiply both side by 5 1/4 = 21 / 4
21 / 4 inches = 21 / 4 * 2 / 3 miles
21 / 4 inches = 3 1/2 miles
Thus, on the map, a trail is 5 1/4 inches long, and its actual length is 3 and 1/2 miles. Option C is correct.
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HEEEEEEEELP PLS!!!
The box plot displays the number of push-ups completed by 9 students in a PE class.
A box plot uses a number line from 9 to 45 with tick marks every 2 units. The box extends from 17.5 to 40.5 on the number line. A line in the box is at 30. The lines outside the box end at 10 and 42. The graph is titled Push-Ups In PE and the line is labeled Number of Push-Ups.
Which of the following represents the value of the lower quartile of the data?
42
40.5
17.5
10
The value representing the lower quartile of the data is given as follows:
17.5.
What is shown by the box and whisker plot?From left to right, the five features of the box and whisker plot are listed as follows
Minimum value.Lower quartile.Median.Upper quartile.Maximum value.For the plot described in this problem, the features are given as follows:
Minimum value of 10.Lower quartile of 17.5.Median of 30.Upper quartile of 40.5.Maximum value of 42.More can be learned about box and whisker plots at brainly.com/question/30464750
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Statistics question
Considering the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.
How did we arrive at this assertion?The null and alternative hypotheses are as follows:
H o: p ≤ 0.23 (proportion of men who own cats is less than or equal to 23%)
H a: p > 0.23 (proportion of men who own cats is larger than 23%)
The test is right-tailed because the alternative hypothesis states that the proportion is larger than 23%.
Based on a sample of 40 people, with 15% of them owning cats, we can calculate the p-value.
To find the p-value, we need to use the binomial distribution and calculate the probability of observing a result as extreme or more extreme than the one obtained under the null hypothesis.
Let's calculate the p-value:
p = 0.15 (proportion of men in the sample who own cats)
n = 40 (sample size)
p-value = P(X ≥ 0.15 x 40) = P(X ≥ 6)
Using a binomial calculator or software, we can find that P(X ≥ 6) is approximately 0.162.
Since the p-value (0.162) is greater than the significance level of 0.10, we fail to reject the null hypothesis.
Therefore, based on the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.
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What is Probability in YOUR OWN WORDS
Answer:
Probability is the chances of something happening.
Step-by-step explanation:
A company estimates that 0.1% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $400.
If they offer a 2 year extended warranty for $60, what is the company's expected value of each warranty sold?
The expected value of each warranty sold is $59.6 for the time duration of two year.
What is Warranty?Warranty can be called as offer or surety given by company to his customer that if something happens with the product within the given time period either company refund the money or exchange the product or repair the product on the basis of terms and condition mention by the company when they gave the product to the customer.
Warranty sold for $60.
The product fails during the warranty period with 0.001 = 0.1% probability. In this case, the company has to replace the product with a cost of $150, having a net loss of 400 - 60 = $340
probability that it does not has to reimburse the client, 1-0.1% = 99.9% = 0.999 , so it gains $60.
The company's expected value of each warranty sold
0.999*60 - 0.001*340 = 59.94 - 0.34 = 59.6
The expected value of each warranty sold is $59.6
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What are the solutions to the system of conics?
\(\frac{y^2}{4}-\frac{x^2}{2}=1\)
\(y^2=8(x+1)\)
The solution to the system of equations y²/4 - x²/2 = 1 and y² = 8(x + 1) is (-0.45, 2.01) and (-0.45, -2.01)
How to determine the solution to the system?A system of equations is a collection of at least two equations.
In this case, the system of equations is given as
y²/4 - x²/2 = 1
y² = 8(x + 1)
Next, we plot the graph of the system of equations
In this case, the point of intersection of the equations represent the solution to the system
From the graph, the lines intersect at (-0.45, 2.01) and (-0.45, -2.01)
Hence, the solution is (-0.45, 2.01) and (-0.45, -2.01)
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Find the value of f(-9).
The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.
What is meant by the graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other forms of graphs. A graph is a diagram that depicts the connections between two or more objects.
The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.
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Hey guys, please help me answer this question!
Answer:
its 3rd one all the best for your test
the space provided.
17 cm
10 cm
22 cm
17 cm
19 cm
Calculate the area of the composite figure, which is not drawn to scale.
Area of the composite figure, which is not drawn to scale is,
⇒ 488 cm²
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
To find the area of the composite figure, which is not drawn to scale.
Now, The figure is made by a rectangle and a triangle.
We know that;
Area of rectangle = Lenght x Width
Hence, We get;
Area of rectangle = Lenght x Width
Area of rectangle = 22 x 17
Area of rectangle = 374 cm²
And, Area of triangle = 1/2 × Height × Base
⇒ Area of triangle = 1/2 × (22 - 10) × 19
⇒ Area of triangle = 1/2 × 12 × 19
⇒ Area of triangle = 114 cm²
Thus, Area of the composite figure, which is not drawn to scale is,
⇒ 374 + 114 cm²
⇒ 488 cm²
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A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?
A r-3/5
B r x 3/5
C r+3/5
D ÷3/5
PLEASE HELP ITS STUDY ISLAND
Answer:
c r/ 3/5
Step-by-step explanation:
i think
What are 2 institutions from the Industrial Revolution? NEED ANSWER NOW PLEASE!!!!!!!
A. Corporations
B. National Institute of Space and Technology
C. Labor Unions
D. National Institute of Disaster Management
The institution from the industrial revolution is the national institute of space and technology. Hence, option B is correct.
What is Industrial Revolution?Agrarian and handcraft economies were replaced by industrialized and machine production during the Industrial Revolution in modern history. New modes of living and working were made possible by these technical advancements, which profoundly altered society.
In the 18th century, this practice started in Britain and then extended to other regions of the world. The English economics professor Arnold Toynbee (1852–83), who originally used the word to characterize Britain's economic growth from 1760 to 1840, although it had been used by French writers earlier.
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round to the nearest hundredth?
A
4
?
35°
с
B
The length of the unknown side length, |AB|, is 6.97
TrigonometryFrom the question, we are to determine the value of the unknown side length
The unknown side length is the hypotenuse
Using SOH CAH TOA
We can write that
sin 35° = 4/|AB|
∴ |AB| = 4 /sin35°
|AB| = 4 /sin35°
|AB| = 6.97
Hence, the length of the unknown side length, |AB|, is 6.97
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Insert Parentheses to make the equality true. 1+2x3+4x5=29
Answer:
((1+2)x3) + (4x5) = 29
Step-by-step explanation:
Since 4x5 = 20 and 3x3 = 9, and 9 + 20 = 29, we put parenthesis around 1+2,
we get,
((1+2)x3) + (4x5) = 29
This is true because,
(3x3) + (4x5) = 29
(9) + (20) = 29
29 = 29
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
How does the 5 in the tens place
compare to the 5 in the ones place?
3,055
Answer:
The 5 in the tens place has more value then the 5 in the ones place
Step-by-step explanation:
Answer:
Its x10 as much
Step-by-step explanation:
The 5 in the 1s place equals 5.
(5x1)
The 5 in the tens place equals 50
(5x10)
The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run? Explain your answer.
Answer:
0.45 miles per minute
Step-by-step explanation:
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Mariana and her best friend are attending a concert in a large auditorium. They just climbed up 125 steps. The number of steps they climbed can be represented by
zero
positive
negative
The number of steps they climbed can be represented by positive
How to represent the number of steps?From the question, we understand that they climbed up
Upward movements are usually represented by the positive sign
This means that:
Steps = 125 or +125
Hence, the number of steps they climbed can be represented by positive
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Determine dz/dt for the two following mathematical relations: a) z = xe^xy, x = t^2, y = t^-1 b) z = x^2 y^3 + y cos x, x = ln (t^2), y = sin (4t)
Answer:
a) \(\frac{dz}{dt} = e^{t}\cdot (2\cdot t+2\cdot t^{2}-1)\)
b) \(\frac{dz}{dt} = [4\cdot \ln t\cdot \sin^{3} 4t - \sin 4t \cdot \sin (2\ln t)]\cdot \left(\frac{2}{t} \right)+[12\cdot (\ln t)^{2}\cdot \sin^{2} 4t + \cos (2\cdot \ln t)]\cdot (4\cdot \cos 4t)\)
Step-by-step explanation:
In this exercise we use implicit differentiation to define \(\frac{dz}{dt}\):
a) \(z = x\cdot e^{x\cdot y}\), \(x = t^{2}\), \(y = t^{-1}\)
\(\frac{dz}{dt} = \frac{dx}{dt}\cdot e^{x\cdot y} +x\cdot e^{x\cdot y}\cdot \left[\frac{dx}{dt}\cdot y+x\cdot \frac{dy}{dt} \right]\)
\(\frac{dz}{dt} = e^{x\cdot y}\cdot \left\{\frac{dx}{dt}+x\cdot \left[\frac{dx}{dt}\cdot y+x\cdot \frac{dy}{dt} \right] \right\}\)
\(\frac{dz}{dt} = e^{x\cdot y}\cdot \left[(1+x\cdot y)\cdot \frac{dx}{dt}+x\cdot \frac{dy}{dt} \right]\)(1)
\(\frac{dx}{dt} = 2\cdot t\), \(\frac{dy}{dt} = -t^{-2}\)
\(\frac{dz}{dt} = e^{t}\cdot \left[(1+t)\cdot 2\cdot t +t^{2}\cdot (-t^{-2})\right]\)
\(\frac{dz}{dt} = e^{t}\cdot (2\cdot t+2\cdot t^{2}-1)\)
b) \(z = x^{2}\cdot y^{3}+y\cdot \cos x\), \(x = \ln t^{2}\), \(y = \sin (4\cdot t)\)
\(\frac{dz}{dt} = 2\cdot x\cdot y^{3}\cdot \frac{dx}{dt} +x^{2}\cdot (3\cdot y^{2})\cdot \frac{dy}{dt}+(\cos x)\cdot \frac{dy}{dt} +y\cdot (-\sin x)\cdot \frac{dx}{dt}\)
\(\frac{dz}{dt} = (2\cdot x\cdot y^{3}-y\cdot \sin x)\cdot \frac{dx}{dt} + (3\cdot x^{2}\cdot y^{2}+\cos x)\cdot \frac{dy}{dt}\)
\(x = \ln t^{2}\)
\(x = 2\cdot \ln t\)
\(\frac{dx}{dt} = \frac{2}{t}\), \(\frac{dy}{dt} = 4\cdot \cos 4t\)
\(\frac{dz}{dt} = [4\cdot \ln t\cdot \sin^{3} 4t - \sin 4t \cdot \sin (2\ln t)]\cdot \left(\frac{2}{t} \right)+[12\cdot (\ln t)^{2}\cdot \sin^{2} 4t + \cos (2\cdot \ln t)]\cdot (4\cdot \cos 4t)\)
7p+5<=-37 and -10p <10 I need to find the interval notation.
For the given inequalities 7p+5<=-37 and -10p <10 , there is no solution
Given :
7p+5<=-37 and -10p <10
Solve each inequality and find the interval notation
Lets consider first inequality
\(7p+5\le \:-37\\\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}\\7p\le \:-42\\\mathrm{Divide\:both\:sides\:by\:}7\\p\le \:-6\)
Now consider second inequality
\(-10p<10\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\10p>-10\\\frac{10p}{10}>\frac{-10}{10}\\p>-1\)
\(\mathrm{Combine\:the\:intervals}\\p\le \:-6\quad \mathrm{and}\quad \:p>-1\)
Both the inequalities does not overlaps
So , No solution
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A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
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A lunch menu consists of 6 different sandwiches, 4 different soups, and 4 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?
Now, at the animal shelter 4/6 of the animals are cats. Of the cats ½ are male. What fraction of the animals at the shelter are male cats?
DE=3x,EF=x+1,and DF=1
Answer: 2.5
Step-by-step explanation:
\(3x+x+1=11\\\\4x+1=11\\\\4x=10\\\\x=2.5\)
For each recursively-defined sequence below, write the first few term. Then use the terms to write an explicit equation.
a. a_1 = 15
a_n+1 = a_n - 3
b. t(n+1) = 1/3*t(n)
t(1)= 108
Answer:
Step-by-step explanation:
a_1 = 15
a_2 = a_1 - 3
a_2 = 15 - 3
a_2 = 12
a_3 = a_2 - 3
a_3 = 12 - 3
a_3 = 9
a_4 = a_3 - 3
a_4 = 9 - 3
a_4 = 6
a_5 = 3
a_6 = 0 I'm leaving these last two to expand
a_n = a1 - (n - 1)*d
a_n = 15 - (n - 1)*3
a_n = 15 - 3n + 3
a_n = 18 - 3n
Example
a_6 = 18 - 3*6
a_6 = 0
Problem B
t(1) = 108
t(1 + 1) = 1/3 * 108
t(2) = 36
t(3) = 1/3 * t2
t(3) = 1/3 * 36
t(3) = 12
t(4) =1/3 (t(3))
t(4) = 1/3 * 12
t(4) = 4
t(5) = t4 / 3
t(5) = 4 / 3
t(5) = 1.3333333
So the explicit definition is
t(n) = 108 (1/3)^(n - 1) You could simplify this a little bit by realizing that 108 is made of three 3s.
t(n) = 4 * 3^3 * (1/3)^(n - 1)
t(n) = 4 * (1/3) ^ (n - 4)
Example
t(5) = 108 (1/3)^4
t(5) = 108(1/81)
t(5) = 1.3333333
And using the simplified formula, you get.
t(5) = 4 * (1/3)^1
t(5) = 1.333333 which is the same thing as the original result.
Answer:
see explanation
Step-by-step explanation:
(a)
Using the recursive rule and a₁ = 15 , then
a₂ = a₁ - 3 = 15 - 3 = 12
a₃ = a₂ - 3 = 12 - 3 = 9
a₄ = a₃ - 3 = 9 - 3 = 6
The sequence is 15, 12, 9, 6, ....
This is an arithmetic sequence with n th term ( explicit rule )
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 15 and d = - 3 , then
\(a_{n}\) = 15 - 3(n - 1) = 15 - 3n + 3 = 18 - 3n
----------------------------------------------------------------------
(b)
Using the recursive rule and t₁ = 108 , then
t₂ = \(\frac{1}{3}\) t₁ = \(\frac{1}{3}\) × 108 = 36
t₃ = \(\frac{1}{3}\) t₂ = \(\frac{1}{3}\) × 36 = 12
t₄ = \(\frac{1}{3}\) t₃ = \(\frac{1}{3}\) × 12 = 4
The sequence is 108, 36, 12, 4, ......
This is a geometric sequence with n th term
\(t_{n}\) = t₁\((r)^{n-1}\)
where t₁ is the first term and r the common ratio
Here t₁ = 108 and r = \(\frac{1}{3}\) , then
\(t_{n}\) = 108 \((\frac{1}{3}) ^{n-1}\)