Answer: I think 53.1
Step-by-step explanation:
The object's temperature after 18.0 minutes is 425.83.
Given that,
An object's temperature cools exponentially after it is removed from a furnace (hot oven).
If its initial temperature is 730°C and it cools at a rate of 2.95% per minute.
We have to determine,
The object's temperature after 18.0 minutes.
According to the question,
The initial temperature is 730°C and it cools at a rate of 2.95% per minute,
The temperature after t minutes is modeled by an exponential function, which has the following format is,
[tex]T(t) = T(0) . (1-r)^t[/tex]
Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.
Then,
T(0) = 730°c and r = 2.95% = 0.0295
Substitute all the values in the equation,
[tex]T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}[/tex]
Therefore,
The object's temperature after 18.0 minutes is,
[tex]T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}\\\\ T(18) = 730 \times 0.5833\\\\T (18) = 425.83[/tex]
Hence, The required value of the object's temperature after 18.0 minutes is 425.83.
To know more about the Exponential function click the link given below.
https://brainly.com/question/16902197
If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).
Provide your answer below:
Answer:
P(B) = 0.20
Step-by-step explanation:
If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).
Provide your answer below:
We are given two events A and B and the formula for the probability of two events is given as:
P ( A ∪ B) = P(A ) + P( B ) - P( A∩ B)
Where:
P(A)=0.5
P ( A ∪ B) = P(A OR B)=0.54
P( A∩ B) = P(A AND B)=0.16
P(B) = ??
Hence, we have:
0.54 = 0.5 + P(B) - 0.16
Making P(B) subject of the formula
P(B) = 0.54 - 0.5 + 0.16
P(B) = 0.20
Help Plz Special Right Triangles Help!!!!
Answer:
c
Step-by-step explanation:
in upper triangle:
Tan60=p/b
√3=a/6
∴a=6√3
again, sin60=p/h
√3 /2=6√3 /b
∴b=12
now, taking down triangle:
cos45=h/b
1/√2 =12/c
∴c=6√2
How many area codes (ABC) would be possible if the first 2 digits can be any number 1-9 & last digit can be any number 4-7? just type in the answer
1st digit can be 1-9 which is 9 numbers
2nd digit can be 1-9 which is 9 numbers
3rd digit can be 4-7 which is 4 numbers.
Total combinations = 9 x 9 x 4 = 324
After the new admission to the school, there is an increase of 30 percent of students. If the total number of students is now 1200, what were total students before admission?
Step-by-step explanation:
1200 students=130%(100% +30%)
100%=?
100% ×1200/130%
800students
which of these consumers might depend on a rabbit for its energy?
a.horse
b.coyote
c.grasshopper
d.cow
B.
A coyote! All the others are herbivores (eat plants)
Which statement best describes points P and Q?
67
O TheirX-coordinates are the same.
O Their y-coordinates are the same.
O Their X-coordinates are opposites.
O Theiry-coordinates are opposites.
Answer:
B) Their y-coordinates are the same.
Step-by-step explanation:
Took the test, hope this helps! :)
In one year, a school uses 13,270 pieces of white paper, 6,570 fewer pieces of blue paper than white paper, and 2,600 fewer pieces of yellow paper than blue paper. How many pieces of paper does the school use in all?
Answer:
24,070 the school uses in all
Step-by-step explanation:
You subtract 13,270 by 6,570 and you get 6,700 pieces of blue paper. Then, you subtract 6,700 by 2,600 and you get 4,100 pieces of yellow paper. Finally, you add the total of pieces of white, blue, and yellow paper and you get 24,070 for the total.
8p + 2q = -16
2p - q=2
Answer:
p = -1 q = -4
Step-by-step explanation:
a system of eq and solve for p and q ??? can do :)
Eq. 1) 8p + 2q = - 16
Eq. 2) 2p - q = 2
use Eq .2 and solve for q
2p - 2 = q
plug into Eq.1 with q
8p +2(2p - 2) = - 16
8p +4p -4 = -16
12p = - 12
p = -1
plug -1 into Eq. 1 for p and solve for q
8(-1) + 2q = - 16
-8 + 2q = - 16
2q = -8
q = -4
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table. A survey participant is randomly selected. Let S be the event that the participant's first motor vehicle had six cylinders and let T be the event that the participant's first motor vehicle was a truck. What is the value of P(S and T)? Motor Vehicle Car Truck SUV O 0.06 Four 118 6 18 O 0.12 Cylinders Six 16 12 20 O 0.24 Eight 2. 6 CO 2 O 0.30
ONLY ANSWER WITH SERIOUS ANSWERS I WILL DELETE AND REPORT 30 PTS
Answer:
.06
Step-by-step explanation:
edg
Answer:
.06
Step-by-step explanation:
test on edg e
Please help me solve. - 4+(-3)
Answer:
-7?
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
4+3=7
two negatives added together is always negative.
so instead of 4+3=7, it would be -4+-3=-7
Which expression is equivalent to −30+(−40)+(−70) ?
Answer:
-30 - 40 - 70, see below
Step-by-step explanation:
+- combines to -
++ combines to +
-+ combines to -
-- combines to +
-30 + (-40) + (-70)
-30 - 40 - 70
:)
Answer:
-140
Step-by-step explanation:
-30+(-40)+(-70)
-30-40-70
-70-70
-140
I think this is the answer, I hope it's what you're looking for
What is the quotient of
(x^3+3x^2-4x– 12) (x^2+5x+6)?
O x + 2
O X-2
OX-8
Ox+8
Answer:
B) X-2
Step-by-step explanation:
The quotient of given polynomials division is (x-2). Therefore, option B is the correct answer.
What is a quotient?A quotient is a quantity produced by the division of two numbers or two terms. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
The given polynomials are (x³+3x²-4x-12) and (x²+5x+6)
Here, (x³+3x²-4x-12) can be written as
x²(x+3)-4(x+3)
= (x+3)(x²-4)
= (x+3)(x+2)(x-2)
Now, (x²+5x+6) can be written as
x²+3x+2x+6
= x(x+3)+2(x+3)
= (x+3)(x+2)
So, (x+3)(x+2)(x-2)/(x+3)(x+2)
= (x-2)
Therefore, option B is the correct answer.
Learn more about the quotient here:
https://brainly.com/question/16134410.
#SPJ5
Nine people are entered in a race. If there are no ties, in how many ways can the first three places be
awarded
Answer:
504?
Step-by-step explanation:
I think, hopefully I did my math current
A rectangle or sandbox has a length of five 1/3 feet and the width of three 3/4 feet What is its perimeter
Answer: 18 1/6 feet
Step-by-step explanation: The formula for perimeter is just 2L+2W. Since the width is 5 1/3 or 16/3, and the length is 3 3/4 or 15/4, all you need to do is substitute the length and width in the equation. The answer should be 18 1/6 feet. I hope this helps!
f ( x ) = -x^3 + 3x^2 + 4x -5 x = -3
Answear ?
Answer: u spelt answer wrong f ( x f ( x ) = -x^3 + 3x^2 + 4x -5 x = -3
Step-by-step explanation:
The quotient of 5 less than a number and 6 is -4
-1 is the answer or your answer is gonna be false
Answer:
3
Step-by-step explanation:
A flower display contains tulips, roses, and carnations. For every 10 tulips, there are 4 roses and 6 carnations. The display contains 100 flowers.
How many of the flowers are tulips?
Answer:
50
Step-by-step explanation:
it has to be 50 because for every 10 tulips there's four roses and six carnations so that's 24 hours takes five twenties to make a hundred so it has to be 50 tulips
Doug invested $7,000 in an account paying 5.5% simple interest annually. If Doug leaves his money in the account for 6 years, how much interest will he accumulate
Answer:
Doug will have $9,651 after 6 years.
Step-by-step explanation:
it's hard to explain it step-by-step, but you can watch a video on it if you want to know how to do it.
help please with this question
Answer:
I believe it is gonna be C
Answer:
i believe the answer would be c
Step-by-step explanation:
i hope this helped :D
How is the series 4 + 9 + 14 t... + 194 represented in summation notation?
Answer:
Each number is 5 units in between and can be used by the following equation 4+5x.
How many terms does the expression - 9+ 5.5 have? Explain.
Answer:
there are two terms which means it is a binomial algebraic expression
Step-by-step explanation:
the first term is -9
and the second term is 5.5
note:be aware that the negative sign is there in the first term and the reason that we didn't put the negative sign in the second is because there is no negative sign before 5.5 .
Natasha is wrapping gifts for the holidays to donate to a local community center. Natasha has 240 square feet of wrapping paper. If Natasha can wrap 8 gifts with 15 sq feet of paper; how many gifts can she wrap in total?
Answer:
Natasha can wrap 128 gifts in total
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ Natasha has 240 square feet of wrapping paper
∵ Natasha can wrap 8 gifts with 15 square feet
→ By using the ratio method
→ Gift : square feet
→ 8 : 15
→ x : 240
→ By using cross multiplication
∵ x × 15 = 8 × 240
∴ 15x = 1920
→ Divide both sides by 15
∵ x = 128
∵ x represents the number of gifts
∴ Natasha can wrap 128 gifts in total
Help I really need help
Answer:
a. days 1 2 3 4 5
number of gallons 12 24 36 48 60
b. g = 12d (the number of days times 12)
c. a person uses 84 gallons of water for showering each week.
Step-by-step explanation:
each day is 12 gallons so just multiply the number of days by 12 to get how many gallons that you use in a set number of days. for the last one, a week is 7 days so if you do 7 x 12 then you get how many gallons a person uses in a week.
Use this rule to fill in the table.
Rule: Add 3 to the input to get the output.
Add 3
?
Input
Output
1
0
6
11
Answer:
Input --- Output
1 ------------ 4
6 ------------9
8--------------11
Step-by-step explanation:
Given
Rule:
Output = Input + 3
Required
Complete the table
Represent the input with x and the output, y
So, the rule becomes
[tex]y = x + 3[/tex]
When Input = 1
[tex]x = 1[/tex]
[tex]y = x + 3[/tex]
[tex]y = 1 + 3[/tex]
[tex]y = 4[/tex]
This means:
Output = 4
When Input = 6
[tex]x = 6[/tex]
[tex]y = x + 3[/tex]
[tex]y = 6+3[/tex]
[tex]y = 9[/tex]
This means:
Output = 6
When output = 11
[tex]y = 11[/tex]
[tex]y = x + 3[/tex]
[tex]11 = x + 3[/tex]
[tex]x = 11 -3[/tex]
[tex]x = 8[/tex]
This means
Input = 8
So, the complete table is:
Input --- Output
1 ------------ 4
6 ------------9
8--------------11
At an amusement park, 14 out of 20 tickets sold were discount tickets. What percentage of the tickets were discount tickets?
Write your answer using a percent sign (%).
(IXL)
Answer:
70%
Step-by-step explanation:
Set up a proportion: [tex]\frac{14}{20} = \frac{x}{100}[/tex] Cross multiply, then divide: 14 × 100 = 1400, 1400 ÷ 20 = 7070/100 = 70%I hope this helps!
The total weight of two parcel is 875kg.If one weighs 380 kg,what is the weigh is the weight of the others.
Answer:
495kg. I got this answer buy subtracting 875kg - 380kg = 495kg
describe a multiplication problem in which the product is between 0.005 and 1
Select all radical expressions that are equivalent to 41 3/5
Answer:
x^ \frac{m}{n} = \sqrt[n]{x^m}x
n
m
=
n
x
m
and
(x^m)^n=x^{mn}(x
m
)
n
=x
mn
so
x^ \frac{3}{5} = \sqrt[5]{4^3}x
5
3
=
5
4
3
but wait, there's more
4=2², so
x^ \frac{3}{5} = \sqrt[5]{4^3} = \sqrt[5]{(2^2)^3} = \sqrt[5]{2^6}x
5
3
=
5
4
3
=
5
(2
2
)
3
=
5
2
6
=
2^ \frac{6}{5}=(2^ \frac{5}{5})(2^ \frac{1}{5})=2 \sqrt[5]{2}2
5
6
=(2
5
5
)(2
5
1
)=2
5
2
also, 4^3=64
Help please. Whoever does gets brainliest.
Answer:
D plz mark me brainliest
Step-by-step explanation:
Wesley paid $1.60 for a 20 ounce bottle of soda.
What was the price per ounce?
O 80 cents
O53 cents
O 32 cents
O 8 cents
Answer:
$0.08
Step-by-step explanation:
20 x .08 = 1.60
Answer:
8 cents
Step-by-step explanation:
because if you multiply 8 by 20 you get 1.60