Answer:
The weight of the block of ice after 1 day is of 4.81 pounds.
Step-by-step explanation:
Equation for exponential decay:
The equation that models an amount after t hours, subject to exponential decay, is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A 10-pound block of ice melts at a rate of 3% per hour.
This means that [tex]A(0) = 10, r = 0.03[/tex]
So
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 10(1 - 0.03)^t[/tex]
[tex]A(t) = 10(0.97)^t[/tex]
Find the weight of the block of ice after 1 day.
One day has 24 hours, so this is A(24).
[tex]A(24) = 10(0.97)^{24} = 4.81[/tex]
The weight of the block of ice after 1 day is of 4.81 pounds.
What's is 25/6 as an mixed number
Answer:
4 1/6
Step-by-step explanation:
6 goes into 25 4 times with one leftover converting to the extra 1/6th
Answer:
4 R 1
Step-by-step explanation:
f(x) = 4x3 + 7x2 – 2x - 1
g(x) = 4x - 2
Find (f - g)(x).
A. (f - g)(x) = 4x3 + 7x2 – 62 – 3
B. (f - g)(x) = 4x3 + 7x2 - 6x +1
c. (f - g)(x) = 4x3 + 7x2 + 2x + 1
D. (f - g)(x) = 4.23 + 7x2 + 2x - 3
SUBMIT
Answer: The answer is B
Step-by-step explanation:
I need the answer fast
Answer:
300ft
Step-by-step explanation:
did the math .....
A jar contains 21 brown and 19 blue marbles. A marble is drawn at random. What is the theoretical probability of drawing a blue marble? P(blue) = 63.3% P(blue) = 47.5% P(blue) = 2.5% P(blue) = 19% P(blue) = 52.5%
Answer:
The answer would be the 1st one.
Step-by-step explanation:
When you use a percentage calculator or look it up, you can shay 40 as a percent of 19 and the answer will be 47.5%. You could also divide and get your answer that way as well.
Hope that helps! If you get it wrong, please tell me so I could check my work. Have a great rest of your day :)!
Henry is recording what kind of shoes people are wearing at
the mall. Out of the 12 people he has seen, 4 are wearing high
heels. What is the experimental probability that the next
person Henry sees will be wearing high heels?
Answer:
1/4
Step-by-step explanation:
if you subtract 12 - 4 you get 8 and 4/8 = 1/4
Write the equation of the circle graphed below.
Answer:
(x + 2)² + (y + 2)² = 0.75²
Step-by-step explanation:
Standard form
(x - h)² + (y - k)² = r²
the center is (h, k) = (-2, -2)
the radius is r = 0.75
(x + 2)² + (y + 2)² = 0.75²
Answer:
(x + 2)^2 + (y + 2)^2 = 0.5625
Step-by-step explanation:
By looking at the graph, we can see the center of the circle is (-2, -2) and by counting the squares, the radius is 0.75.
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can substitute our values in to get:
(x + 2)^2 + (y + 2)^2 = 0.5625
Solve for x
7 x + 3 = 17
X= 2
x = 7
x = 20
x = 27
Answer:
27
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
7x + 3 = 17
7x = 17 - 3
7x = 14
7x ÷ 7 = 14 ÷ 7
x = 2
5 The regular price of a kite is $9.60. Today it is on sale at 1/3 off the regular price. What is the sale price of the kite? $
Answer:
its 6.40
Step-by-step explanation:
Josh filled his gas tank three times last week. Here are the amounts of gas he bought (in gallons).
7,9.84, 13.9
What is the total amount of gas Josh bought last week
a 440m long road is being repaired at the end of 3 days the workers had repaired 3/4 of the road what length of the road is left unrepaired
THE ANSWER IS 110 m
Workers had repaired 3/4 of the road
it means3/4×440 is been repaired
length of repaired road is 3×110 = 330m
length of unrepaired road = Length of to road - length of repaired road
i.e. = 440-330 = 110m
Someone please help! No link answer please :(
Answer:
55 degrees (a)
Step-by-step explanation:
complementary means they equal 90 degrees
so 90-35= 55 degrees
Help me pls thanks so much
Answer:
D) 49.1 in²
Step-by-step explanation:
area of entire cake = πr² = (3.14)(5²) = 78.5 in²
area of 5 slices = (78.5)(5/8) = 49.1 in²
Please help me, no random answers or links, please.
Answer: -3
Step-by-step explanation:
To find the gradient...
Take any two points on the line and use the gradient fromula...
y2 - y1/ x2 - x1
Using points (0, 4) and (1,1):
1-4 / 1-0 = -3/1
Graident/slope = -3
Answer:
Step-by-step explanation:
(0, 4) (1, 1)
(1 - 4)/(1 - 0) = -3/1= -3
-3 is the slope
a classroom board is 30 inches wide and 20 inches tall. scott is putting ribbon along the outside edge of the board. how many inches will he need?
Answer: 100 inches
Step-by-step explanation: *warning* this is the way I do it. This might not be the best or easiest way, but it is an answer
30 inches wide
20 inches tall
30+30+20+20 = 100
you could also do 30*2 + 20*2
The two rational numbers lying between -2 and -5 with denominator 1 are ____ and _____.
The model represents an inequality. What is the solution set for this inequality? 4x+12≤-8
Answer:
4x+12<-8
4×<-8-12
4×<-20
×>-5
Which angle is supplementary to CFD?
Answer:
∠DFA or can be written as AFD : ( as long as the vertex F is in the middle)
Step-by-step explanation:
Supplementary angles are angles when added together form a straight line (180°)
CFD makes a small part of that straight line and DFA (AFD) make up the other part
PLS HELPP
1.how many edges does it have?
2. how many vertices does it have?
Answer:
1. 8 edges
2. 8 vertices
Step-by-step explanation:
Answer:
the 3D image is a cuboid so no.of edges are 12 and no.of vertices are 8..
edges are the line segments and vertices are the corners...
Which expression is equivalent to the one below?
12 - 11
O A. 12.1
O
O B. 11 0 1 / 2
O C. 132
O D. 11
12
Answer:
Hello! answer: A. 12 × 1/11
Answer:
A
Step-by-step explanation:
44 points for answer
Answer:
30 m vertically and 10 horizontally for a rectangle in a corner of the warehouse.
Tuesday
Describe the shape resulting from the cross section of the
roll of cookie dough.
Helppppppppppppppppppppppppppppppppppppp
Find the area of this
irregular figure.
9 ft
[ ? ] square feet
8 ft
15 ft
26 ft
Answer:
426 ft^2.
Step-by-step explanation:
It area = area of the rectangle + area of the triangle
= 15 * 26 + 1/2 * 8 * 9
= 390 + 1/2*8*9
= 390 + 36
= 426 ft^2.
The area of the figure given is 426 ft^2.
How to find the surface area of some object?Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.
Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Area = Area of the rectangle + Area of the triangle
Area = 15 * 26 + 1/2 * 8 * 9
Area = 390 + 1/2*8*9
Area = 390 + 36
Area = 426 ft^2.
Therefore, the area of the figure given is 426 ft^2.
Learn more about surface area here:
https://brainly.com/question/15096475
#SPJ5
A baker is making bread dough. He uses 3 cups of flour for every 8 ounces of water. How many cups of flour will he use if he uses 96 ounces of water? *
Answer:
36 cups of flour can be made.
Step-by-step explanation:
(QUICK RESPONSE!)
Under a dilation of the point P(12, 10) is P (6,5).Choose the general rule that describes the dilation mapping point P to point pl.
f Step-by-step explanatin
so you add the thing and you add this thing
stu pid i d i o t
HELP PLEASE GOD HELP
Answer:
x=2, x=-8 : 2 will be taken as the answer as negative is discarded so C is the answer
Step-by-step explanation:
Apply Log Rules:
x(x+6)=16
Solve:
x=2, x=-8
Jennifer age 18 initially invested $1000 at 8% interest how old would she be when the account is $128,000
Answer:
2,304 years old
Step-by-step explanation:
Given: Jennifer age = 18, Invested = $1000 at 8% interest
To find: How old would she be when the account is $128,000?
Wrong solution
Solution: To figure out how old she will be when her account is $128,000, simply find the difference between her current account value by her current age, by dividing. Then multiply the result by the future account value.
Step 1: [tex]\frac{1000}{18} = 55.5555555556[/tex]
Rounding, that is; 55.56
Step 2: Now, multiply the result by the future account value.
[tex]55.56[/tex] × [tex]128000 = 7111680[/tex]
Correct solution
Solution: To find out how old she will be when her account is $128,000, set up a fraction;
[tex]\frac{1000}{8} = \frac{12800}{x}[/tex]
Step 1: Divide the numbers
[tex]\frac{1000}{8} = \frac{128000}{x} \\\\\frac{500}{9} = \frac{128000}{x}[/tex]
Step 2: Multiply all terms by the same value to eliminate fraction denominators
[tex]\frac{500}{9} = \frac{128000}{x} \\\\x * \frac{500}{9} = x * \frac{128000}{x}[/tex]
Step 3: Cancel multiplied terms that are in the denominator
[tex]x *\frac{500}{9} = x * \frac{128000}{x} \\\\x * \frac{500}{9} = 128000[/tex]
Step 4: Re-order terms so constants are on the left
[tex]x * \frac{500}{9} = 128000\\\\\frac{500}{9} x= 128000[/tex]
Step 5: Combine multiplied terms into a single fraction
[tex]\frac{500}{9} x = 128000\\\\\frac{500x}{9} = 128000[/tex]
Step 6: Multiply all terms by the same value to eliminate fraction denominators
[tex]\frac{500x}{9} = 128000\\\\9 * \frac{500x}{9} = 9 * 128000[/tex]
Step 7: Cancel multiplied terms that are in the denominator
[tex]9 * \frac{500x}{9} = 9 * 128000\\500
if i have 12 apples, and then sally takes one, and billy takes 8, then i go pick 18 more apple but i eat 14, how many apples do i have? ANSWER THIS FAST!!
Answer:
7 apples is the correct answer I believe.
A food scientist takes a random sample of 25 cereals in order to test the claim that the mean fiber content is less than 2.5 grams. The graphs of the data and two types of hypothesis test output are provided below. Determine which output should be used and state the conclusion of this test at the 5% significance level.
Answer:
Choice A: there is insufficient evidence to conclude that the mean for the fiber content is less than 2.5 gms.
Step-by-step explanation:
From the graphs given the more appropriate is one sample t- test
One sample t- test is used and the results are
Hypothesis Test Fiber
Sample Mean 2.62
Sample St. Dev 3.492
Degrees of Freedom 24
t- test statistic 0.1718
p- value 0.5675
the critical region for this test at ∝= 0.05 is t < -1.711
There is not enough evidence to reject the null hypothesis.
Since the calculated t= 0.1718 does not fall in the critical region the null hypothesis is accepted that the mean fiber content is not less than 2.5 grams.T
Simplify
2x² + (4x – 6x²) + 9 – (6x + 3)
Answer: -4x²-2x+6
Step-by-step explanation:
2x²+(4x-6x²)+9-(6x+3)
2x²+4x-6x²+9-6x-3
2x²-6x²+4x-6x+9-3
-4x²-2x+6
Answer:
=-4x^2-2x+6
Step-by-step explanation: