The formula c=5/9(f-32) is used to convert the temperature in degrees fahrenheit (
f. to the temperature in degrees celsius (
c. what is the temperature in degrees celsius (
c. that is equal to 113 degrees fahrenheit (
f.?
The conversion of fahrenheit to degree celsius for f = 113 is 45 degree celsius
What is a mathematical expression?
When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
Given, formula of temperature conversion of degree celsius to fahrenheit
c=5/9(f-32)
If f = 113
then putting the value on the equation, we get
c = 5/9(113-32)
c = 5/9(81)
c = 5*9
c = 45 degree celsius
Therefore, The conversion of fahrenheit to degree celsius for f = 113 is 45 degree celsius
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What is the leg length of an isosceles right triangle with a hypotenuse of 32 inches?
Assume 3 in every 1000 students at a local community college have quit due to serious health issues. An insurance company offers them an $8000 policy for $50 a year. What is the amount the insurance company should expect to make on average on every student that pays?
Answer: if 3 for every 1000 students quit due serious health issues, then you can see the proportion doing the quotient between this numbers. This is:
3/1000 = 0.003
Then if you choose a random student, you have a 0.003 probability of choosing one who can have a health issue.
and a 0.997 probability to choose a student with no health issues.
Now, the company wins $50 for the healthy students, and lose ($50 - $8000) = -$7950 for each student that is sick (because they initially pay the 50$ and latter get the $8000).
Then the insurance company should expect to make in average:
0.997*$50 - 0.003*($7950) = $26
So the company should expect to make 26 dollars per student in a year.
Line QR bisects angle PQS. Solve for x and find measure PQS:
m
Line QR bisects angle
PQS. Solve for x and find measure PQS:
m<PQS = 4x - 6, m<PQR = x + 11 ...?
m<PQR = (1/2) (m<PQS) = (1/2)( 4x - 6)
so x + 11 = 2x - 3 implies x =14
and then m<PQS = 4x - 6 =50°
Solve (x 6)(x - 4) = -16
Answer:
{-4, 2} Original poster forgot to add the + sign
Step-by-step explanation:
Solve (x + 6)(x - 4) = -16
{-4, 6}
{-4, 2}
{-12, 22}
Odyssey
(1.8 * 10^2) * (5 * 10^2)
# of Songs:Cost
6:$7.20
7:$8.40
8:$9.60
Cedric buys songs at a store that charges $1.20 per song. Shumeka buys songs at a different store. The table shown here gives the cost when she buys 6, 7, and 8 songs.
Are songs more expensive at Cedric’s store or Shumeka’s store?
A) Cannot be determined
B) Cedric's store is more expensive.
C) Shumeka's store is more expensive.
D) Songs cost the same at both stores.
Answer:
Songs cost the same at both stores.
Step-by-step explanation:
The total cost in dollars to produce q units of a product is C(q). Fixed costs are $13000 . The marginal cost is C'(q)=0.006q^2-q+50.
Estimate C(170) , the total cost to produce 170 units.Find the value of C'(170). Then combine these to find C(171).
To find the cost of production for 170 units, consider both fixed costs and variable costs (the integral of the marginal cost function). The cost of producing 171 units can be estimated by adding the marginal cost for the additional unit.
Explanation:The quantity of interest is C(170), the total cost to produce 170 units. To estimate this value, you can calculate the fixed costs plus the integral of the marginal cost from 1 to 170 (the number of items produced).
So, first, calculate the fixed costs which is given as $13000.
Next, estimate the total variable costs, which is the integral of the marginal cost function over the range from 1 to 170 units. Given marginal cost function is C'(q) = 0.006q^2-q+50. Use the power rule to integrate the function, then evaluate it at q=1 and q=170 and subtract.
The value of C'(170) is simply the value of the marginal cost function at q=170.
After finding the value of C(170) and C'(170), the total cost to produce 171 units, C(171), is approximately the total cost to produce 170 units plus the marginal cost to produce the 171st unit.
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Give the excluded value(s) for the following fraction.
y+5/y^2+4y-32
Answer:
y is -8 and 4.
Step-by-step explanation:
the product of two integers is -21. the diference between the two integers is -10. the sum of the two integers is 4. what are the two integers
What is the cost of 25.00 watch with a 5.00 discount and a 5.5% sales tax?
please help me with this problem thanks!
20 is 50% of what number? If necessary, round to the nearest tenth.
Is it 10.0?
20 is 50 percent of the number 40.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let 20 is 50% of the number x.
Now, 50% of x=20
0.50×x=20
0.5x=20
x=20/0.5
x=40
Therefore, 20 is 50 percent of the number 40.
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a family of two adults and four children is going to and an amusement park. admission is 421.75 for adults and $15.25 for children. what is the total cost of the family's admission
The decimal number 0.66 is an example of a repeating decimal.
True
or
False
pls answer quick
Answer:
the anwser is FALSE
Step-by-step explanation:
Please explain this problem.
the price of a car increases in the ratio 11:8. What is the new price of a car which originally cost 25600?
A box of rice is 19 centimeters long, 12 centimeters wide, and 3.5 centimeters deep. The volume of the box is the product of its length, width, and height. What is the volume of the box?
Factor completely: 21x3 + 35x2 + 9x + 15 ...?
Answer:
The complete factored form of given polynomial [tex]21x^3+35x^2+9x+15[/tex] is [tex](7x^2+3)(3x+5)[/tex]
Step-by-step explanation:
Given polynomial [tex]21x^3+35x^2+9x+15[/tex]
We have to factorize the given polynomial completely.
Consider the given polynomial [tex]21x^3+35x^2+9x+15[/tex]
We will solve it by grouping of terms,
Grouping is collecting terms having some factors common
Taking [tex]7x^2[/tex] common from first two term and 3 from last two terms , we have,
[tex]21x^3+35x^2+9x+15[/tex]
[tex]\Rightarrow 7x^2(3x+5)+3(3x+5)[/tex]
Now taking (3x +5) common from both terms , we have,
[tex]\Rightarrow (7x^2+3)(3x+5)[/tex]
Thus, the complete factored form of given polynomial [tex]21x^3+35x^2+9x+15[/tex] is [tex](7x^2+3)(3x+5)[/tex]
divide 56 in a ratio of 5:3
If martha earns $3.25 per hour for baby-sitting, how much will she earn in: 2.5 hours? 4.0 hours? 5.5 hours?
Answer: Martha will earns for 2.5 hours of baby sitting [tex]\approx\$8.13[/tex]
She will earns for 4.0 hours of baby sitting =[tex]\$13[/tex]
She will earns for 5.5 hours of baby sitting =[tex]\approx\$17.88[/tex]
Step-by-step explanation:
Given: Martha earns for each hour of baby sitting = $3.25
Then, Martha will earns for 2.5 hours of baby sitting =[tex]2.5\times3.25=\$8.125\approx\$8.13[/tex]
She will earns for 4.0 hours of baby sitting =[tex]4.0\times3.25=\$13[/tex]
She will earns for 5.5 hours of baby sitting =[tex]5.5\times3.25=\$17.875\approx\$17.88[/tex]
4. which property is illustrated by the following statement?
2x(6)=(6)2x
A. associative property of addition
B. communtative property of multiplication
C. inverse property of multiplication
D. communtative property of addition
5. which property is illustrated by the following statement?
5g+7=7+5g
A. communtative property of multiplication
B. Inverse property of multiplication
C. communtative property of addition
D. associative property of addition
The answer for #5 is C.
I would like to purchase 20 products at a cost 65.00 per product. what will be my total? your state has 3.5% sales tax
The total is: $ 1345.5
Step-by-step explanation:It is given that:
I would like to purchase 20 products at a cost 65.00 per product.
This means that the cost of 20 products will be:
[tex]20\times 65=\$\ 1300[/tex]
Also, there is a sales tax of 3.5%
This means that a person has to pay a extra 3.5% on the total cost of the items he purchased.
i.e. he need to pay 3/5% on $ 1300
This means that the amount of tax he need to pay is: 3.5% of 1300
= 3.5%×1300
= 0.035×1300
= $ 45.5.
Hence, the total cost is: $ 1300+$ 45.5
This means that the total cost is: $ 1345.5
Express answer in exact form.
Find the area of the larger segment whose chord is 8" long in a circle with an 8" radius.
help me please ...?
Katie is selling lemonade for 1.50 pee cup. she decides to put them on sale for 0.90. what percent discount did she give her on the lemonade
Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place. Use the approximation 3.14 for pi. C=44. C stands for circumference.
then d= 44/3.14
r= 22/3.14
What is the value of the discriminant in the equation shown below?
x^2+3x-6=0
...?
Discriminant = b^2 - 4ac
a = 1
b = 3
c = -6
3^2 - 4(1x-6)
9 - (4 x -6 )
9 - -24 = 33
Therefore it has 2 real roots
Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, but the current group of passengers weighs a total of 750 kilograms. Renna wants to determine how many 70-kilogram passengers need to get off the elevator.
Let p represent the number of excess passengers. Write an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement.
Mrs. Curtis wants to buy online tickets for a concert. Two options are given here.
Option 1: $53 for each ticket plus a shipping fee of $10
Option 2: $55 for each ticket and free shipping
What is a system of equations to represent the costs of the tickets?
Express your equations in the form of y=mx+by=mx+b where x is the number of tickets purchased and y is the total cost.
Option 1:______________
Option 2: ______________
A rectangle has a length of 5.50 m and a width of 12.0 m. What are the perimeter and area of this rectangle?
The perimeter of the rectangle is 35.0 meters, and the area is 66.0 square meters, using the formulas for perimeter (2(length + width)) and area (length × width).
Explanation:To calculate the perimeter and area of a rectangle, we apply the formulas: Perimeter = 2(length + width) and Area = length × width. In this case, the rectangle has a length of 5.50 m and a width of 12.0 m.
Calculating the Perimeter
Perimeter = 2(5.50 m + 12.0 m) = 2(17.5 m) = 35.0 m
Calculating the Area
Area = 5.50 m × 12.0 m = 66.0 m²
The perimeter of this rectangle is 35.0 meters, and the area is 66.0 square meters.