Answer:
The second choice is correct:
.. Q - P
_____
The constant term is all you really need to look at to figure this.
For P(x), the constant is +2.
For Q(x), the constant is -6.
For P+Q, the constant is -4 . . . . not correct
For Q-P, the constant is -8 . . . . correct
For PQ, the constant is -12 . . . . not correct
For P-Q, the constant is 8 . . . . .not correct
Step-by-step explanation:
If f(x)=3x+2, what is f(5)
Answer:
f(5) = 17Step-by-step explanation:
f(x)=3x+2
To find f (5) replace every x in f(x) by 5
That's
f(5) = 3(5) + 2
= 15 + 2
= 17Hope this helps you
El área de un decágono regular cuya apotema mide 5,08 cm y la longitud de su lado es 3,3 cm.
Answer:
83.82 cm^2
Step-by-step explanation:
Aquí, queremos calcular el área de un decágono dada su apotema y la longitud de su lado.
Matemáticamente;
Área de decágono = 1/2 * perímetro * apotema
Donde perímetro = 10 * s
donde s es la longitud de los lados
Entonces el área aquí sería; 1/2 * 10 (3.3) * 5.08 = 83.82 cm ^ 2
Find the value of y.
In a class of 26 students, 15 of them like maths, 13 of them like English and 9 of them don't like Maths or English. Find the probability that a student chosen at random likes English but not Maths
Answer: 0 0769
Step-by-step explanation:
Let x be the number of students that offer both subjects
15 - x + x + 13 - x + 9 = 26
-x + 37 = 26
-x = -11
x = 11
Number of student that offer english but not math = 13 - 11 = 2
The probability of english but not math = 2/26 = 0.0769
The probability that a student likes only Maths but not English is 2/13.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Let, N(U) = 25 the total number of students.
Similarly, N(M) = 15 and N(E) = 13.
9 students Maths or English.
So, The number of students like both subjects, N(M∩E) = 13 + 15 - 17.
N(M∩E) = 11.
N(E∩M') = N(M) - N(M∩E). (only English)
N(E∩M') = 15 - 11.
N(E∩M') = 4.
Therefore, The probability that a student likes only English but not maths is,
= 4/26.
= 2/13.
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(03.02 MC) Some researchers claim there is an association between getting a tattoo and contracting hepatitis C. They took a random sample of people living in Los Angeles, California, and recorded whether they had a tattoo and whether they were infected with hepatitis C. The results are shown in the following two-way table: Has Hepatitis C Does Not Have Hepatitis C Does not have a tattoo 5 50 Has one tattoo 10 210 Has more than one tattoo 15 150 If a person is chosen at random, what is the probability that he or she has hepatitis C, given that he or she has one tattoo? (2 points) Select one: a. 0.045 b. 0.333 c. 0.05 d. 0.50
Answer:
The correct option is (b) 0.333.
Step-by-step explanation:
The data provided is as follows:
Hepatitis C No hepatitis C Total
No Tattoos 5 50 55
1 Tattoo 10 210 220
> 1 Tattoo 15 150 165
Total 30 410 440
The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
The condition probability of an event A provided that another event X has already occurred is:
[tex]P(A|X)=\frac{P(A\cap X)}{P(X)}[/tex]
The number of people who has hepatitis C is:
n (Hepatitis C) = 30
The number of people who has hepatitis C and one tattoo is:
n (Hepatitis C and 1 Tattoo) = 10
Compute the probability that he or she has hepatitis C, given that he or she has one tattoo as follows:
[tex]P(\text{Hepatitis C} |\text{1 Tattoo})=\frac{n(\text{Hepatitis C and 1 Tattoo})}{n(\text{1 Tattoo})}[/tex]
[tex]=\frac{10}{30}\\\\=\frac{1}{3}\\\\=0.333[/tex]
Thus, the correct option is (b).
The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The table is given below.
Hepatitis C No hepatitis C Total
No Tattoos 5 50 55
1 Tattoo 10 210 220
> 1 Tattoo 15 150 165
Total 30 410 440
The number of people who has hepatitis C is 30. And the number of people who has hepatitis C and one tattoo is 10.
The probability that he or she has hepatitis C, given that he or she has one tattoo will be
P = 10/30
P = 1/3
P = 0.333
The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.
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C=5/9(F - 32) concert 30C to Fahrenheit
Answer:
132
Step-by-step explanation:
132
Hey there! :)
Answer:
86° F.
Step-by-step explanation:
Use the formula C = 5/9(F - 32) to convert 30C to Fahrenheit. Plug 30 into C:
30 = 5/9(F - 32)
Multiply both sides by 9/5 (dividing by 5/9):
30 · 9/5 = 5/9(F - 32) · 9/5
54 = F - 32
Add 32 to both sides:
54 + 32 = F - 32 + 32
F = 86°.
Therefore, 30C = 86° F.
Evaluate the Following
Answer:
see explanation
Step-by-step explanation:
cscΘ = [tex]\frac{hypotenuse}{opposite}[/tex] = [tex]\frac{25}{7}[/tex]
secΘ = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{25}{24}[/tex]
cotΘ = [tex]\frac{adjacent}{opposite}[/tex] = [tex]\frac{24}{7}[/tex]
Find the lateral area of the cones in terms of pi
Answer:
i think its what you want....
If f(x) is the total number of bacteria present in a sample after x hours, which of the following statements best describes the meaning of f(2) = 12? (1 point) The total number of bacteria present in the sample after 12 hours is 2. The total number of bacteria present in the sample after 6 hours is 2. The total number of bacteria present in the sample after 2 hours is 12. The total number of bacteria present in the sample after 6 hours is 12.
Answer:
The total number of bacteria present in the sample after 2 hours is 12.
Step-by-step explanation:
In the function f(2) = 12, 2 represents x, and 12 represents the output when x is equal to 2.
In the context of this problem, this means that f(2) = 12 represents how in 2 hours, there were 12 bacteria present in the sample.
Answer:
The total number of bacteria present in the sample after 2 hours is 12.
Step-by-step explanation:
f(x) is the total number of bacteria, while x is the number of hours. We are given:
f(2)=12
2 is x (the input) and 12 is f(x) (the output).
Since x=2 and x=number of hours, 2 describes the number of hours.
Since f(x)= 12 and f(x)= number of bacteria, 12 describes the number of bacteria.
Therefore, after 2 hours, the total number of bacteria present is 12.
A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table. Total Shoreline (miles) 22 17 10 23 12 35 7 Maximum Depth (feet) 101 85 59 113 64 158 33 She then used a graphing tool to display the data in a scatter plot, with x representing the total miles of shoreline and y representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit: y = 4.26x + 10.908. Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline? A. 121 feet B. 132 feet C. 138 feet D. 143 feet
Answer: D. 143
Step-by-step explanation:
31 times 4.26 = 132.06 + 10.908 = 142.968 which simplifies to 143 because you round up.
The best line of fit for the maximum depth of the shoreline would be: D. 143 feet
How to solve for the depth of the shorelineWe have the line of fit as
y = 4.26x + 10.908.
The question has specified x as 31 miles which is the miles of shore line.
We have to solve for the value in the line of best fit
y = 4.26*31 + 10.908
y = 132.06 + 10.908
y = 142.968
This is approximately D. 143 feet
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A chord cuts off a 120 degree arc. If the radius of the circle is 26 inches, find the
chord length
Answer:
26sqrt(3)
Step-by-step explanation:
You end up with two 30-60-90 triangles.
26/2 = 13
2 * 13 * sqrt(3) = 26sqrt(3)
What is the solution for x in the given equation? sgrt9x+7+sgrt2x=7
I need help! Thx :) 6th grade
Answer:
0.92
Step-by-step explanation:
To write a percent as a decimal, we divide the value by 100.
Divide 92 by 100.
[tex]\frac{92}{100}[/tex]
[tex]=0.92[/tex]
Answer:
0.92
Step-by-step explanation:
92/100=0.92
Fraction- 92/100 — 46/50 — 23/25
The total global area of crops has increased from 44.2 million to
181.5 million
hectares between 2000 and 2014. Calculate the percentage increase Round this up to the
next whole number.
Answer:
311%
Step-by-step explanation:
The percentage change is calculated as ...
percent change = ((new value) -(old value))/(old value) × 100%
Filling in the numbers, we have ...
percent change = (181.5 -44.2)/44.2 × 100% ≈ 311%
The global area increased by 311% over the interval.
find the y-intercept of the function: f(×)=(×+10)/(×-5)
Answer:
(-10,0)
Step-by-step explanation:
Hello
this is (-10,0) point
because f(-10)=0
hope this helps
PLEASE HELP ASAP i don’t have much time.
Answer:
[tex]x=-3, d=2, e=3[/tex]
Step-by-step explanation:
[tex]\frac{9a^3b^5}{-3ab^2} =\frac{9}{-3} \cdot\frac{a^3}{a} \cdot \frac{b^5}{b^2}[/tex]
Recall how to divide exponents. For instance, [tex]a^3/a^1=a^{3-1}=a^2[/tex].
[tex]=-3a^2b^3[/tex]
Thus, [tex]x=-3, d=2, e=3[/tex]
I've been stuck on this for a bit, and I'm still figuring this out in the process. a little help?
Steps to solve:
4x + 1/3y^2 when x = 2 and y = 3
~Substitute
4(2) + 1/3(3)^2
~Simplify
8 + 1/3(9)
~Simplify
8 + 3
~Add
11
Best of Luck!
A charter airline finds that on its Saturday flights from Philadelphia to London all 160 seats will be sold if the ticket price is $200. However, for each $3 increase in ticket price, the number of seats sold decreases by one.
Missing part of the question is;
Find a formula for the number of seats sold if the ticket price is P dollars.
Answer:
(680 - P)/3
Step-by-step explanation:
A) Let x be equal to the number of seats and hence we can conclude that (160 - x) is equal to the number of seats after the increase in price.
Similarly, the increase in ticket price would be equal to (P - 200)
Due to the fact that for every $3 increase, the number of seats decrease by 1, the equation that links the change in the number of seats to the change in ticket price is;
P - 200 = 3(160 - x)
P = 3(160 - x) + 200
Making x the subject;
P = 480 - 3x + 200
P = 680 - 3x
3x = 680 - P
x = (680 - P)/3
7 6/11, 149/20, 7.431, 7.46 order from least to greatest
→Answer:
7.431, 149/20, 7.46, 7 6/11
→Step-by-step explanation:
Well, first let's make all the numbers in decimal form.
7.5454 - 7 6/11
7.45 - 149/20
7.431
7.46
So, we can order them now.
7.431, 7.45, 7.46, 7.5454
Now we can put them back into their original status.
7.431, 149/20, 7.46, 7 6/11
____________________________________________________________
can I get help with this question. I need to find the value of x
Step-by-step explanation:
sides of 2 triangles are proportional
x/12=28/21
x=16
=======================================================
Explanation:
The diagonal pieces are 28 and 21. They pair up to get the fraction 28/21
The horizontal pieces are x and 12, in the same order from left to right. The order is important (so things pair up properly). We get the fraction x/12
-------
Set the two fractions equal to each other and solve for x
28/21 = x/12
28*12 = 21*x .... cross multiply
336 = 21x
21x = 336
x = 336/21 .... divide both sides by 21
x = 16
the qestion is the picture
Answer:
-2/9
Step-by-step explanation:
Answer:
the answer is C. - 2/9!!!!!!
Step-by-step explanation:
In a division equation, quotient is the answer derived after dividing the dividend by the divisor. To continue with our sample word problem, all we need to do to find the quotient of the division word problem, is to divide the dividend by the divisor sooo we just Divide: -2 / 9 = -0.222222222222 = -2/9! the answer is going to be C.!
hope this helped!
simplify 5x5^2 leaving your answer in index form
Answer:
5 power 3
Step-by-step explanation:
the answer of 5 power 2 is 25,multiply by 5 to get 125,make 5 the base to get your answer
Answer:
5^3
Step-by-step explanation:
5x5^2= 25x5=125
Now that is equivalent to 5^3
5x5x5=125
please help i will give out brainliest
Answer:
6, 0, 10
b
Step-by-step explanation:
el perimetro de un terreno rectangular es de 170m y su area es de 170^2hallar la medida de sus lados con ecuacion cuadratica
Answer:
Acá tenemos un sistema de ecuaciones.
El perímetro de un rectángulo es:
2*A + 2*L = 170m
donde A es el ancho y L es el largo.
Y el área del rectángulo es:
A*L = 170m^2.
Entonces, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la segunda:
A = 170m^2/L.
Ahora reemplazo eso en la primera ecuación y la resuelvo para L.
2*( 170m^2/L.) + 2*L = 170m.
340m^2 + 2*L^2 = 170m*L
ahora tenemos una ecuación cuadrática:
2*L^2 - 170m*L + 340m^2 = 0.
Las soluciones se pueden obtener usando la formula de Bhaskara:
[tex]L = \frac{+170 +- \sqrt{170^2 -4*340*2} }{2*2} = \frac{170 +-161.8}{4}[/tex]
Entonces las soluciones son:
L = (170 + 161.8)/4 = 82.95m
L = (170 - 161.8)/4 = 4.1m
Entonces, si tomamos L = 82.95m, tenemos A = 4.1 m
y el área es:
A*L = 4.1m*82.95m = 170m^2
The child has been diagnosed with rickets. The child’s mother is educated about the importance of providing the child with 10 micrograms (400 International Units) of an oral vitamin D supplement each day. The child’s mother purchases over-the-counter vitamin D drops. The supplement is noted to contain 5 mcg of vitamin D in each 0.5 mL. How much of the supplement should the mother administer to the child each day? Record your answer using one decimal place.
Answer:
1.0 mL each day
Step-by-step explanation:
The required daily dosage of vitamin D is 10 micrograms.
The supplement contains 5 micrograms per 0.5mL.
The volume of supplement necessary to fulfill the daily requirements of vitamin D is:
[tex]V=\frac{0.5\ mL}{5\ mcg}*10\ mcg\\ V=1.0\ mL[/tex]
She should administer 1.0 mL of the supplement each day.
Anyone please help me
Answer:
(a) 6
(b) 14
Step-by-step explanation:
Answer: (a) 6
(b) 14
Step-by-step explanation:
Let a represent the unknown digit for Chinese --> 70 + a
Let b represent the unknown digit for Mathematics --> 80 + b
Total scores ÷ Total number of tests = Average
[tex]\dfrac{78 + (70 + a) + (80 + b) + 62}{4}=76\\\\\\\dfrac{290 + a + b}{4}=76\\\\\\290 + a + b=304\\\\\\a+b=14[/tex]
The two digits must add up to 14.
The only options are: (9,5), (8,6), (7,7), (6,8), and (5,9),
Mathematics - Chinese
(9, 5) 89 - 75 = 14 LARGEST Difference
(8, 6) 88 - 76 = 12
(7, 7) 87 - 77 = 10
(6, 8) 86 - 78 = 8
(5, 9) 85 - 79 = 6 SMALLEST Difference
find the square root of 100 5.75
Answer:
10 and 2.4
Step-by-step explanation:
100 is 10*10 so: [tex]\sqrt{100}[/tex] = 10
5.75 is a decimal number
[tex]\sqrt{5.75}[/tex] = 2.39≈ 2.4
The price (p), in cents, of a sweet is directly proportional to the mass (m) of the
sweet.
When the sweet cost 55 cents, the mass is 220 g. Find
(a) the equation connecting p and m.
(b) the mass, in grams, of a sweet which cost 540 cents,
(c) the cost of a sweet in cents, with a mass of 115 g
If both nappes of a right circular cone are intersected by a plane that does not
pass through the vertex of the cone, the resulting curve will be an)
Answer:
Hyperbola
Step-by-step explanation:
When the two napes of a cone are intersected by a plane, the resulting curve is that of the two branches of a hyperbola. See attached image.
Jennifer had $80 to spend on herself. She spent 1/5 of the money on a sandwhich, 1/6 for a ticket to a museum, and 1/2 of it on a book. How much money does Jennifer have left over?
Answer:
$10.67
Step-by-step explanation:
Jennifer has a total amount of $80 to buy what she needs
1/5 of the money is spent on sandwich
= 1/5×80
= $16
The amount spent on sandwich is $16
1/6 of the money is spent on tickets to a museum
= 1/6×80
= 0.166×80
= $13.33
The amount spent on tickets is $13.33
1/2 of the money is spent on a book
= 1/2×80
= 0.5×80
= $40
The amount spent on a book is $40
Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend
= $80-$16+$13.33+$40
= $80-$69.33
= $10.67
Hence the amount of money left on Jennifer is $10.67