Answer:
Carl is B
Paul is A
Step-by-step explanation:
Answer:
Paul Broca - A
Carl Wernicke - B
Step-by-step explanation:
Which series tests can be used to show that a series converges absolutely? (Select all that apply) Alternating Series Test Ratio Test Limit Comparison Test Test for Divergence Root Test
The following are the series test to show series are absolute convergence ,Ratio Test ,Limit Comparison Test, Root Test.
The following series tests can be used to show that a series converges absolutely,
Ratio Test
Root Test
Limit Comparison Test
The Alternating Series Test cannot be used to show absolute convergence, as it only applies to alternating series.
The Test for Divergence is used to show that a series diverges, but not whether it converges absolutely.
The Alternating Series Test and Test for Divergence do not test for absolute convergence, but rather conditional convergence.
They cannot be used to show that a series converges absolutely.
Therefore, series used to show absolute convergence are given by
Ratio Test
Limit Comparison Test
Root Test
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To find 10% of a number all you need to do is move the decimal to the left once. Explain why this is true
When dividing by 10, 100, 1000 and so on, move the decimal point to the left as many places as there are 0s. So when dividing by 10, move the decimal point one place, by 100 two places, by 1000 three places and so on. If there is no decimal point in the original number, then imagine it at the end of the number.
In which table(s) does y vary directly with x? Check all that apply.
2
y
y
X
х
3
y
2
-4
-2
-2
-1
lo
1
3
9
-2
-1
-1
1
0
-1
6
18
2
1
2
-2
1
-2
7
21
6
3
5
-5
2
-3
W
Answer:
see below
Step-by-step explanation:
A relation is "direct variation" if it can be written in the form ...
y = kx
for some constant k. That value can be found from any line* in a table that has direct variation:
k = y/x
_____
* A table with direct variation may have the entry (x, y) = (0, 0). That table entry cannot be used to find the value of k. If either x or y is zero, the other must be also if the variation is direct.
Answer:
first 3
Step-by-step explanation:
tell me if u need an explanation
How many schools have fewer than 50 classrooms
Answer:
7 schools have fewer than 50 classrooms.
Pls Help I’m so confused how do you do this
Answer: A
Step-by-step explanation:
\($$Given $m \angle A=9 x-7, \quad m \angle B=7 x-9, m \angle C=28-2 x$ \\For the triangle $m \angle A+m \angle B+m \angle c=180$$$\begin{aligned}&\Rightarrow(9 x-7)+(7 x-9)+(28-2 x)=180 \\&\Rightarrow 9 x+7 x-2 x-7-9+28=180 \\&\Rightarrow 14 x=180-28+16 \\&\Rightarrow 14 x=168 \\&\Rightarrow \quad x=12\end{aligned}\)
\($$Therefore,\\&m \angle A=9 x-7=9 \times 12-7=101^{\circ}\\&m \angle B=7 x-9=7 \times 12-9=75^{\circ} \\&m \angle C=28-2 x=28-2 \times 12=28-24=4^{\circ}\\\)
\($$Since $m \angle A=101^{\circ}$ so $B C$ is the longest side of a triangle $\triangle A B C$ \\\\Since $m \angle C=4^{\circ} S 0$ SB is the shortest side of a triangle $\triangle A B C$\\\\So listing the sides in $\triangle A B C$ from shortest to longest is: (a) $\overline{A B}, \overline{A C}, \overline{B C}$\)
joe and mark each make a number pattern joe starts with 18 and uses the rule add 3 mark starts with 28 and uses the rule 3 which statement about corresponding terms in the pattern is true Each term in marks pattern is 3 more than the corresponding term in joes pattern? each term in marks pattern is 10 more than the corresponding term in joes pattern ? (C) the difference between a term in marks pattern and the corresponding term in joes patter is always a multiple of 4 ? D) the difference between a term in marks pattern and the corresponding term in joes pattern is always a multiple of 5?
Answer:
Each term in marks pattern is 10 more than the corresponding term in joes pattern
Step-by-step explanation:
Given
Joe
\(Start = 18\)
\(Additional = 3\)
Mark
\(Start = 28\)
\(Additional = 3\)
Required
Determine which option answers the question
From the question, we have that Mark and Joe have the same additional rule of increment.
This implies that, the difference of each term is the same as the difference of the starting number of both:
Since Mark started at a higher number than Joe, the difference can be said to be.
\(Difference = Start_{Mark} - Start_{Joe}\)
\(Difference = 28 -18\)
\(Difference = 10\)
Hence:
Option B answers the question
is g(x)=4+x^2/1+x^4 even, odd or neither
Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.
Is the given function even, odd or neither?Given the function in the question;
g(x) = (4 + x²)/(1 + x⁴)
To determine if the function is even, odd or neither, we find g(-x) by substituting -x for all occurrence of x in the function.
g(x) = (4 + x²)/(1 + x⁴)
g(-1) = (4 + (-x)²)/(1 + (-x)⁴)
Simplify
g(-x) = (4 + x²)/(1 + x⁴)
Hence,
g(-x) = g(x)
Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.
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A boat travels with velocity vector (25, 25√3). What is the directional bearing of the boat?
ON 30° E
OE 30° S
OE 30° N
ON 30° W
In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.
How can the directional bearing of the boat be determined?The given velocity vector are; 25 and 25√3)
horizontal components =25
vertical components =25√3
Then the angle
Tan(θ) = {vertical component / horizontal component }
= 25√3 / 25
= √3 / 1
= √3
Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E
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SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
patricia baked some cupcakes for sale. she put half of the cupcakes equally into 6 big boxes and the other half equally into small boxes. There were 45 cupcakes in 3 big boxes and 8 small boxes altogether.
a) How many cupcakes dud Patricia bake?
b) She sold all the small boxes and collected $189. How much did she sell each small box for?
Answer:
The answer is given below
Step-by-step explanation:
a)
Let us assume Patricia baked x number of cakes. She put half of the cupcakes (i.e x/2) equally into 6 big boxes.
6 big boxes contained \(\frac{x}{2}\) cakes, therefore 1 big box would contain \(\frac{x}{2}/6=\frac{x}{12}\) cakes.
Let us assume she put the other half into 14 small boxes, therefore each small box would contain \(\frac{x}{2}/14=\frac{x}{28}\) cakes.
There were 45 cupcakes in 3 big boxes and 8 small boxes altogether. That is:\(3(\frac{x}{12} )+8(\frac{x}{28})=45\\ 84x+96x=15120\\180x=15120\\x=84\)
Therefore Patricia baked 84 cup cakes
b)
She sold all the small boxes and collected $189, i.e she sold 14 small box for $189. Each small box = $189/14 = $13.5
When will the graph meet the line y=5?
Answer:
Step-by-step explanation:
The graph of the linear equation cuts the x-axis at (5,0)
Many unversities and colleges have instituted supplemental instruction (SI) programs, in which student facilitator meets regularly with a small group of students enrolled in the course to promote discussion of course material and enhance subject mastery. Suppose that students in a large statistics course are randomly divided into a control group group that will not participate in SI and a treatment group that will participate. At the end of the term each student’s total score in the course is determined.
A) Are the scores from the SI group a sample from an existing population? If so, what is it? If not, what is the relevant conceptual population?
B) What do you think is the advantage of randomly dividing the students into the two groups rather than letting each student choose which group to join?
C) Why didn’t the investigators put all students in the treatment group?
Answer:
Step-by-step explanation:
SUPPLEMENTAL INSTRUCTION PROGRAMS
- Students in a large statistics course are randomly divided into a control group and an experimental/treatment group. At the end of the term, each student's score in the course is examined
(A) The scores from the SI (Experimental) group are not a sample from an existing population. They are data from a group in a sample, hence the sample here is the number of students tested in this experiment and that equates to all the students in the large Statistics course/class.
- The relevant conceptual population would be all students in the university, since the general purpose or statement of this experiment is to see the effect of SI programs implemented in universities.
(B) The advantage of the random (unintentional) division of the students into control and experimental groups is that results or scores from the groups will be unbiased.
If you let each student choose a group, there is a high probability that the serious students will all join the SI group while the unserious ones will choose to be in the control group.
There is also a high probability that brilliant/pompous students will ignore the supplemental instruction program while students with low and medium intelligence quotient (IQ) will embrace it.
It is also possible that students will join whatever group their friends join.
These and other biases will defeat the aim of the experiment.
(C) The investigators didn't put all students in the sample into the experimental group because the difference or impact of the SI program needs to be known; whether positive or negative. Dividing them into the 2 groups lets the investigators know if there is a difference in the scores of students in the two groups.
How to find imaginary and real zeros the function has
3.2 The line drawn from the midpoint of the one side of a triangle, parallel to the second side, ... ACS is a triangle. P is a point on AS and R is a point on AC such that PSRQ is a parallelogram. PQ intersects AC at B such that B is the midpoint of AR. QC is joined. Also, CR-PS, C, -50° and BP- 60 mm. C 2 R 3 2 B/3 2 3.2.1 Calculate the size of A 3.2.2 Determine the length of QP. 2 1 P 2 (5) (3) [9]
The coordinates of midpoint P are P(-1/2, 3/2) and coordinates of midpoint Q are Q(-3/2, -4).
To find the coordinates of the midpoints P and Q of sides AB and AC, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint of a line segment between two points (x1, y1) and (x2, y2) are given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Using this formula, we can find the coordinates of P and Q as follows:
Coordinates of midpoint P:
P = ((2 + (-3)) / 2, (-1 + 4) / 2)
= (-1/2, 3/2)
Therefore, the coordinates of midpoint P are P(-1/2, 3/2).
Coordinates of midpoint Q:
Q = ((2 + (-5)) / 2, (-1 + (-7)) / 2)
= (-3/2, -4)
Therefore, the coordinates of midpoint Q are Q(-3/2, -4).
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Let the points A(2,-1), B(-3,4), and C(-5,-7) be the vertices of triangle A B C. Let P and Q be the midpoints of the sides AB and AC respectively. Find the coordinates of P and Q. (2 marks)
The graph of the function f(x) = (x-4)(x + 1) is shown
below.
Which statement about the function is true?
O The function is increasing for all real values of x
where
x < 0.
O The function is increasing for all real values of x
where
x < -1 and where x > 4.
O The function is decreasing for all real values of x
where
-1
O The function is decreasing for all real values of x
where
x < 1.5.
The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.
Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).
The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.
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1. Power
2. Exponent
Answer:
the first one would be Power, and the second one is Exponent.
Step-by-step explanation:
2 x 2 x 2 x 7 is the prime factorization of what number?? please help :(
Answer:
2×2×2×7
Step-by-step explanation:
if you multply 2×2 it is 4×2=8×7=56
backward is easy 7×2= 14×2= 28×2=56
2 × 2 × 2 × 7 is the prime factorization of the number 56.
Given that,
To determine the number whose prime factorization is given as 2 x 2 x 2 x 7.
What is the factors?
Factors can be defined by splitting the value into multipliable values.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Prime factorization of the number are a multiplicable number that consists of the prime numbers only,
According to the question,
2 x 2 x 2 x 7 = 56
Thus, 2 × 2 × 2 × 7 is the prime factorization of the number 56.
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68 times the difference between a number and 45 is equal to the number plus −98
Answer:
The number can be expressed in multiple forms
Fraction form \(x=\frac{2962}{67}\) or decimal form \(x=44.21\)
Step-by-step explanation:
Lets break the problem down
"times" is multiplication *
The difference between 2 numbers is subtraction \((x-y)\)
A number plus a number is addition \(x+y\)
\(68(x-45)=x+-98\)
Lets solve for \(x\).
Lets start on the left side.
Distribute 68 to the terms inside the parenthesis.
\(68x-3060=x+-98\)
A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.
\(68x-3060=x-98\)
Subtract \(x\) from both sides of the equation.
\(68x-3060-x=-98\)
Subtract \(x\) from \(68x\).
\(67x-3060=-98\)
Add 3060 to both sides of the equation.
\(67x=2962\)
Divide both sides of the equation by 67.
\(x=\frac{2962}{67}\) or as a decimal \(x=44.21\)
Please help with this question
Answer:
It's Angle ABC because an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle
Put these numbers in order from greatest to least.
8
-2-
25
2.45
-0.84
Answer:
25, 2.45, 8, -0.84, -2
Step-by-step explanation:
negative is a least number
positive is a greater number
Positive number-8, 25, 2.45
Negative number-(-2), -0.84
ordering number from greatest to least:
25, 2.45, 8, -0.84, -2
-2 is smallest then -0.84 because 2 is bigger then 0.84. It is opposite with the positive number.
The bigger the positive number the biggest it is. While the bigger the negative number the smallest it is.
Answer:
Step-by-step explanation:
The numbers are:
● 8
● -2
● 25
● 2.45
● -0.84
To make it easy classify the positive numbers apart and the negatives ones alone
● 2.45<8< 25
● -2 < -0.84
25 is the greatest and -2 is the least
● 25 > 8 > 2.45 > -0.84 > -2
complete the steps to solve the equation
Answer:
attached below
Step-by-step explanation:
minus 2 from each side in order to isolate T with the coefficient. To get rid of the coefficient multiply to get 1 which is 5 in this case. Then the answer will be 75
workout the size of angle x
Answer:
Where is it?
Step-by-step explanation:
Find the length of each arc shown in red. Leave your answer in terms of pi. 110 4in
The length of the arc shown in red is
Step-by-step explanation:
step 1
Find the circumference of the circle The circumference is equal to we have substitute
step 2
Find the length of the arc in red Remember that the length of the circumference subtends a central angle of 360 degrees so by proportion find the length of the arc by a central angle of 110 degrees Simplify
Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades?
Answer:
If you have 2 decks of 52, it would be 1/52 chance per card, so since there are two, add it up, its 2/104
Step-by-step explanation:
Answer:
1/16
Step-by-step explanation:
:))
Divide: 7 5/6 ÷ 2/3 need help
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
Please help me with my pre calc homework, it is attached as a screenshot below:
Answer
The Maximum Area of the fence is 10000 square feet
SOLUTION
Problem Statement
The question tells us the fence is made of 400 feet of material and we are asked to calculate the maximum area that can be enclosed by the fencing.
Method
- Let the length and breadth of the rectangle be x and b. Thus, we can write out an expression for the perimeter of the fence as follows:
\(\begin{gathered} 2(x+b)=400 \\ \text{Divide both sides by 2} \\ x+b=\frac{400}{2}=200 \\ \\ \therefore x+b=200\text{ (Equation 1)} \end{gathered}\)- Also, we can write out the Area enclosed by the fence as follows:
\(\begin{gathered} A=x\times b \\ A=xb\text{ (Equation 2)} \end{gathered}\)Implementation
- For this stage, we shall work on the two Equations we arrived at during our analysis in the Method stage.
- We shall try to write the function of the Area in terms of x. Once this is done, we shall proceed to differentiate this function of A with respect to x.
- The differentiation describes how the Area of the plot surrounded by the fence changes with its length x.
- At maximum Area, this change will be equal to zero because any other change would be a decrease in the area of the plot.
- We shall complete the solution by finding the value of x for which the Area is maximum, finding the corresponding value of breadth, b, and then finding the Maximum Area of the plot using the formula for the Area given above.
- We can break this process down into the following steps:
1. Find the Area function in terms of x alone
2. Differentiate the Area function.
3. Equate to zero and find x.
4. Find the value of b and the Maximum Area.
Now, we can solve as follows:
1. Find the Area function in terms of x alone
\(\begin{gathered} x+b=200\text{ (Equation 1)} \\ A=xb\text{ (Equation 2)} \\ \\ \text{From Equation 1,} \\ b=200-x \\ Substitute\text{ this expression for b into Equation 2} \\ \\ A=x(200-x) \\ A=200x-x^2 \end{gathered}\)2. Differentiate the Area function
\(\begin{gathered} A=200x-x^2 \\ \text{Differentiating A with respect to x, we have:} \\ \mathrm{\frac{dA}{dx}}=\mathrm{\frac{d}{dx}}(200x-x^2) \\ \\ \mathrm{\frac{dA}{dx}}=\mathrm{\frac{d}{dx}}(200x)-\mathrm{\frac{d}{dx}}(x^2) \\ \\ \mathrm{\frac{dA}{dx}}=200-2x \end{gathered}\)3. Equate to zero and find x:
\(\begin{gathered} \mathrm{\frac{dA}{dx}}=200-2x \\ At\text{ maximum Area, }\mathrm{\frac{dA}{dx}}=0 \\ \\ 200-2x=0 \\ \therefore2x=200 \\ \text{Divide both sides by }2 \\ \frac{2x}{2}=\frac{200}{2} \\ x=100 \end{gathered}\)4. Find the value of b and the Maximum Area:
\(\begin{gathered} \text{ We find the value of b by substituting the value of }x\text{ into the Perimeter equation, Equation 1.} \\ x+b=200 \\ 100+b=200 \\ \text{subtract 100 from both sides} \\ b=200-100 \\ \therefore b=100 \\ \\ \text{Thus, the maximum area is:} \\ A=xb=100\times100 \\ \therefore A=10000 \end{gathered}\)Final Answer
The Maximum Area of the fence is 10000 square feet
5/8 entre 6 personas
Based on the information we can infer that 5/8 between 6 people is equal to 15/24.
How to divide 5/8 between 6 people?To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.
5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder
So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:
(5/4) x 6 = 30/4 = 15/2 = 15/24
So each person would receive 15/24 of the original amount.
Note: Here is the question in English:
5/8 divided in 6 people
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The question is in the picture.
Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16
What is the difference?
47−55
Enter your answer in the box.
Answer:
-8
Step-by-step explanation:
47 - 55
= 47 + (-55)
= -8
Hope it helps ⚜
A group of campers and one group leader left a campsite in a canoe. They traveled at an average rate of 10 km/h. Two hours later, the other group leader left the campsite in a motorboat. He traveled at an average rate of 22 km/h.A. How long after the canoe left the campsite did the motorboat catch up with it?B. How long did the motorboat travel?
A .The canoe left the campsite did the motorboat catch up with it 3 hrs and 40 minutes
B . The motorboat travel at 1 hr 40 minutes
A group of campers and one group leader left a campsite in a canoe.
They traveled at an average rate of 10 km/h.
1st Group DATA:
rate = 10 km/h ; distance = x km ; time = d/r = x/10 hrs
Two hours later, the other group leader left the campsite in a motorboat.
He traveled at an average rate of 22 km/h.
Group Leader DATA:
rate = 22 km/h ; distance = x km ; time = d/r = x/22 hrs
A. How long after the canoe left the campsite did the motorboat catch up with it?
Group time - Leader time = 2 hr
x/10 - x/22 = 2
Multiply thru by 110 to get:
11x - 5x = 220
6x = 220
x = 110/3 = km
canoe total time = x/10 = (110/3)/(10) = 11/3 = 3 hrs and 40 minutes
B. How long did the motorboat travel?
motorboat time = x/22 = (110/3)/22 = 1 hr 40 minutes
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