Answer:
5
Step-by-step explanation:
(because when two negative meets it gives u positive )
11 ÷ 924 in long division
Answer:
231 your welcome
Step-by-step explanation:
The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.
(a) Is C a function of F? Yes, C is a function of F. No, C is a not a function of F.
(b) What is the mathematical domain of this function? (Enter your answer using interval notation. If C is not a function of F, enter DNE.)
(c) If we consider this equation as relating temperatures of water in its liquid state, what are the domain and range? (Enter your answers using interval notation. If C is not a function of F, enter DNE.) domain range
(d) What is C when F = 71°? (Round your answer to two decimal places. If C is not a function of F, enter DNE.) C(71) = °C
Step-by-step explanation:
The question is wrong. The correct equation is :
[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex]
We know that the equation gives the relation between temperature readings in Celsius and Fahrenheit.
Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.
So for the incise (a) we answer Yes, C is a function of F.
For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.
Dom (C) = ( - ∞ , + ∞)
For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.
Therefore the range will be
Rang (C) = (0,100)
Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :
For C = 0 :
[tex]0=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=32[/tex]
And for C = 100 :
[tex]100=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒ [tex]F=212[/tex]
Therefore, the domain as relating temperatures of water in its liquid state is
Dom (C) = (32,212)
For (d) we only need to replace in the equation by [tex]F=71[/tex] and find the value of C ⇒
[tex]C=\frac{5}{9}F-\frac{160}{9}[/tex] ⇒
[tex]C=(\frac{5}{9})(71)-\frac{160}{9}[/tex]
[tex]C=\frac{65}{3}[/tex] ≅ 21.67
C(71) = 21.67 °C
a. Yes, C is a function of F.
b. Domain of the function is: ( - ∞ , + ∞)
c. Range of function C is: (0, 100)
the domain of function C is: (32, 212).
d. [tex]\mathbf{C(71) = 21.67^{\circ}C}[/tex]
Range and Domain of A FunctionThe domain of a function is the input value, while the range is the corresponding output value.
a. Given the equation of the function as, [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex], this means that, the value of C is dependent on the value of F, therefore, the answer is, Yes, C is a function of F.
b. Since no mathematical restriction was stated, therefore:
Domain of the function is: ( - ∞ , + ∞)
c. Temperature of water in its liquid state ranges between 0 and 100°C, therefore:
Range of function C is: (0, 100)
To find the domain, substitute C = 0 and C = 100, respectively, into [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].
Thus:
[tex]0 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 32[/tex]
[tex]100 = \frac{5}{9}(F) - \frac{160}{9}\\\\F = 212[/tex]
Therefore, the domain of function C is: (32, 212).
d. To find C when F = 71°, substitute F = 71° into [tex]C = \frac{5}{9}(F) - \frac{160}{9}[/tex].
Thus:
[tex]C(71) = \frac{5}{9}(71) - \frac{160}{9}\\\\C(71) = \frac{65}{3} \\\\\mathbf{C(71) = 21.67^{\circ}C}[/tex]
Learn more about domain and range of function on:
https://brainly.com/question/10197594
pls help what is 1+2
You have found the following ages in years of 4 gorillas at your local zoo. What is the average age of the gorillas at your zoo? What is the variance? 7, 10, 15,21
Answer:
your answer is 7
Step-by-step explanation:
i may be wrong but i think that is the correct answer oh and Have a good thanksgiving everyone
Answer:
13.3 and 28.2 years
Step-by-step explanation:
from Khan academy
A local little league has a total of 66 players, of whom 80 % are right-handed. How many right-handed players are there?
Answer:
The amount of right-handed players is 53
Hope this Helps :)
Jack has a saving account of value $65,550 at the start. The saving account has an interest rate of 3% that is compounded every six months. How long will it take Jack to have $100,000 in his account?
Given:
Principal value = $65,550
Rate of interest = 3% compounded every six month
To find:
The taken to have $100,000 in Jack's account.
Solution:
The formula for amount is
[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]
where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.
Interest compounded every six month. It means, interest compounded 2 times in an year.
Substitute A=100000, r=0.03 and n=2 in the above formula.
[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]
[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]
[tex]1.525553=(1.015)^{2t}[/tex]
Taking log on both sides.
[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]
[tex]\log (1.525553)=2t\log (1.015)[/tex]
[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]
[tex]t=14.1838928[/tex]
[tex]t\approx 14.18[/tex]
Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.
A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-4, -5)(−4,−5). What is the vertex of the function defined as g(x)=f(x+2)+3g(x)=f(x+2)+3?
Answer:
The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)
Step-by-step explanation:
If the graph of the function f(x) is translated h units to the left, then its image g(x) = f(x + h)If the graph of the function f(x) is translated k units up, then its image g(x) = f(x) + kLet us use these facts above to solve the question
∵ The quadratic function f(x) = y has a vertex point (-4, -5)
∵ g(x) = f(x + 2) + 3
→ By using the two facts above
∴ f(x) is translated 2 units to the left
∴ f(x) is translated 3 units up
→ That means the vertex point must move 2 units left and 3 units up
∵ The rule of translation is T (x, y) → (x - 2, y + 3)
∵ The coordinates of the vertex point of f(x) are (-4, -5)
∴ Its image is (-4 - 2, -5 + 3)
∴ Its image is (-6, -2)
∴ The vertex of the function g(x) = f(x + 2) + 3 is (-6, -2)
The following statements as true or false.
a. m23 + m25 = 180
b. m22 + m26 = 180
C. m28 = m_1
Which ones are true and false plzzzzz this is urgent
Answer:
True
False
True
Step-by-step explanation:
Interior angles are supplementary
Corresponding angles makes mangle2 and mangle6 the same deg
mangle1 = mangle5 (corresponding angles)
mangle5 = mangle8 (vertically opposite angles)
Help look at the image
Answer:
There. I looked at the image.
The thing is right because they are all the same.
Step-by-step explanation:
Plz mark as Brainliest!
Household incomes are normally distributed with a mean of $47,500 and a standard deviation of $12,500. What is the probability of having incomes of $60,000
or more?
a) 2.50%
O b) 5.0096
C) 15.87%
od) 7.8096
Answer:
Option C: 15.87 is the correct answer
Step-by-step explanation:
Given
Mean = $47500
SD = $12500
We have to find the probability of having $60000 or more
So,
x = $60000
The z-score will be:
[tex]z-score = z = \frac{x-mean}{SD}\\z = \frac{60000-47500}{12500}\\= \frac{12500}{12500}\\= 1[/tex]
Looking in the z-score table, we get
P(Z<60000) = 0.8413
In order to find the probability P(Z>60000) => 1-P(Z<60000)
= 1-0.8413
=0.1587
Converting into percentage: 0.1587*100 = 15.87%
Hence,
Option C: 15.87 is the correct answer
46% of the students that were surveyed like to eat at McDonald's if 351 students do not like to eat at McDonald's how many people were surveyed
Answer:650 people were surveyed
The BHS band needs to make T-shirts for its 35 members and has set aside some money in their budget to pay for them. The members of the band decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts.
Write an equation that represents the relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order. If you use a variable, specify what it represents.
2. In this situation, which quantities do you think can vary? Which might be fixed?
Answer:
C = 105 + 50x
2) variable unit = Numbe of color
Fixed unit = number of shirt
Step-by-step explanation:
Given that :
Number of members = 35
Charge per shirt = $3
Charge per color = $50
relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order
Let cost of order = C
Number of color = x
Number of Tshirt ordered = 35
Cost = (charge per shirt * number of shirts) + charge per color * number of colors)
C = (3 * 35) + ($50 * x)
C = 105 + 50x
Number of shirts to be ordered has been fixed tnd this includes it's 35 members
The number of color to be used hasn't been adopted and can thus be varied
Sean has some candy bars that he wants to give away. He is going to give each person 1/8 of a bar, and he has 2 3/4 bars to give away
how many people will get candy?
Answer:
jdfsddudnfdhujskvbusduyhd
Step-by-step explanation:
habdaerfukhdskfsubfa
what are the terms in the expression 2x-4y+8?
A.) 8
B.) 2x and 4y
C.) 2x, -4y, and 8
D.) 2, 4, and 8
P.S PLS HELP DUE TODAY!!!
c - 3/4 = 1/8
Please answer
Answer:
The answer is 7/8.
Step-by-step explanation:
to get the answer you must use inverse operation so 3/4 + 1/8 = 0.875 or 7/8.
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Answer:
c = 7/8
Step-by-step explanation:
c - 3/4 = 1/8
First I will make sure that they all have the same denominator.
[tex]\frac{3}{4} * 2= \frac{6}{8}[/tex]
Our new equation will look like:
c - 6/8 = 1/8
Now we will add 6/8 to both sides.
c = 1/8 + 6/8
c = 7/8
Our final answer is:
c = 7/8
please help me with the question.
Answer:
Step-by-step explanation:
∠a is corresponding to ∠f
∠b is alternate interior angle to ∠e
∠g is alternate exterior to ∠d
∠f is vertical to ∠h
∠b is consecutive( same side) interior with ∠f
What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?
Answer:
0.5
Step-by-step explanation:
Given that:
Irina measured the weight of her dog to be 13 pounds.
The greatest possible error that could have to occur will be the maximum error.
Let assume that the 13th value obtained was rounded between the range of 12.5 → 13.49 to 13 pounds
Then;
The greatest possible error that could have to occur = 13.0 - 12.5 pounds
The greatest possible error that could have to occur = 0.5 pounds
Answer:
0.5
Step-by-step explanation:
EDGE 2020 Unit Test
PLZ HELP!!!
Will mark brainliest
44. Show that the quadrilateral with vertices A(0,0), B(a,0), C(a + b, c) and D(b, c) is a parallelogram.
Answer:
A=1
B=2
c=1
Step-by-step explanation:
What is the length of segment DF?
B
4/28
1
68°
C
2
А A
2
3
8
4
68°
28°
F
5
Type your answer.
Answer:
DF = 17.12
Step-by-step explanation:
From the picture attached,
From ΔABC and ΔEFD,
m∠ABC = m∠EFD = 28°
m∠BAC = m∠EDF = 68°
By AA property of similarity, ΔABC and ΔEFD will be similar.
And their corresponding sides will be proportional.
[tex]\frac{AB}{EF}=\frac{BC}{DF}=\frac{AC}{ED}[/tex]
[tex]\frac{4}{EF}=\frac{BC}{DF}=\frac{2}{8}[/tex]
[tex]\frac{4}{EF}=\frac{1}{4}[/tex]
EF = 16
Now by applying cosine rule in ΔDEF,
DF² = ED² + EF² - 2(ED)(EF)cos(E)
DF² = 8² + (16)² - 2(8)(16)cos(84)°
DF² = 320 - 26.76
DF = √(293.24)
DF = 17.12
easy question solve and get 10 points 3245=3×100__×2×__×__4×__+5
the same number goes in each of the blank space to make the number sentence correct what is the missing number
options
10
100
311
1000
Answer:
The missing numbers are (1000, 100, 10) 3 x 1000 + 2 x 100 + 4 x 10 + 5
Step-by-step explanation:
3 x 1000 = 3000
2 x 100 = 200
4 x 10 = 40
0 + 5 = 5
3000 + 200 + 40 + 5 = 3245
Explain to me in words how you would find the slope of this line and explain your answer
Answer: m=7/3
Step-by-step explanation:
the point were at (4,3)(1,-4)
m=y2-y1/ x2-x1
m= -4-3/ 1-4
m= -7/-3
m=7/3
Matt bought 8 pie molds at a cost of $0.67 per mold. He also bought 8 pre-
made crusts at a cost of $0.63 per crust. How much did Matt spend on pie
molds?
Answer:
$5.36
Step-by-step explanation:
multiply 8 by .67
PLEASE SOMEONE I NEED IT ASAP DUE AT 6:30!!!
Someone please....
Please define the following terms:
mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.
Answer:
Mercantilism - trading or selling various of goods or products for commission
import - to bring goods in form another source/place
export - send goods to another coutry for money or other items
enumerated article - english colonies could export only to England in the 17th century were sugar, tobacco, cotton and indigo (types of goods)
Navigation Acts - An act that allowed ONLY english ships to bring goods into England, and let north American export their items to England
Dominion of New England - A bunch of England colonies made by king James II of England in 1686 used to tighten British administration of their colonies.
English Bill of Rights - A act that was signed by the law used to ultimately give the parliament power over the monarchy
what is n in a hexagon
Answer:
For a hexagon, n=6.
Step-by-step explanation:
Answer:
n = 6
Step-by-step explanation:
A hexagon has 6 sides
What are the partial products that result from multiplying 17*32?
Answer:
544
Step-by-step explanation:
What is the amount earned by a car salesman if he sold a truck for $37.500 at a 2% commission? 15
Turn the sentence into an expression
5.three times the sum of two consecutive
integers
3(x+x+1)
hope this helps
Jan ran for 1 hour and 15 minutes. If Jan can run a mile in 7.5 minutes, how many miles did she run? There are 60 minutes in an hour
Answer:
10 miles
Step-by-step
I really need help can someone please understand
sure what’s the problem
how much ₹ each will get if 242.46₹ is distributed equally among the students
Complete Question:
How much ₹ will each get if 242.46₹ is distributed equally among the 6 students
Answer:
Each of the 6 students will get ₹40.41
Step-by-step explanation:
Given
[tex]Amount = 242.46[/tex]
[tex]Students = 6[/tex]
Required
Determine how much each student gets
To do this, we simply divide the total amount by the number of students
i.e.
[tex]Each\ Students = \frac{Amount}{Number\ Students}[/tex]
[tex]Each\ Students = \frac{242.46}{6}[/tex]
[tex]Each\ Student = 40.41[/tex]
Hence, each of the 6 students will get ₹40.41