Answer:
79 °F
Step-by-step explanation:
Newton’s Law of Cooling:
[tex]y = ae^{-kt} + c[/tex]
Data
The initial temperature of a liquid is 160 °F The temperature in the room (c) is 76 °FThen a = 160 - 76 = 84 °Fk = 0.23t = 15 minutesReplacing into the equation:
[tex]y = 84e^{-0.23 \times 15} + 76[/tex]
y = 79 °F
Answer:
The correct answer is 78.7°F
Step-by-step explanation:
Got it right on Edge 2020
Solve the system of equation using the solution method:
y=3x+2
2x-3y=8
Answer:
x=-2/7,y=8/7
Step-by-step explanation:
Simultaneous equation
y=3x+2....(1)
2x-3y=8...(2)
Substitute (1) into (2)
2x-3(3x+2)=8
2x-9x-6=8
Collect like terms
-7x=8-6
-7x=2
Divide both sides by-7
X=-2/7
Substitute the value for x into (1)
y=3(-2/7)+2
y=-6/7+2
Lcm be 7
y=-6+14/7
y=8/7
Therefore x=-2/7,y=8/7
PLEASE HELP!! The mean absolute deviation for each pizzeria is approximately 10. Approximately how many times the mean absolute deviation is the difference between the means of the data sets?
The required mean absolute deviation is 2.1 times the difference between the means of the data sets.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
To find the means of the two data sets, we need to convert the double stem-and-leaf plots into regular frequency distributions.
To calculate the mean of this data set, we can use the formula:
Mean of Giavano's = (sum of values) / (number of values)
Mean = [31+32+33+36+42+44+46+52+63+68+]/10
Mean= 44.7
Mean of brick oven = (sum of values) / (number of values)
Mean = 38+57+58*2+66+69+74+77+78+79 / 10 = 65.5
Difference of the mean = 65.5-44.7
MAD = 10
According to the question, a ratio of the difference of mean to MAD,
= 65.5 - 44.7 / 10 = 2.1
Thus, the required mean absolute deviation is 2.1 times the difference between the means of the data sets.
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What is the first step to solving the equation 3(6+x)=24
Answer:
1. Distribute the 3
Step-by-step explanation:
3(6+x)=24
You can do one of two things
1. Distribute the 3
3*6+3x=24
Or
you can divide each side by 3
The only reason it is a good choice to divide each side by 3 is that 24 is divisible by 3
3(6+x)/3=24/3
6+x = 8
Either answer is an acceptable 1st step
Write 10 x 10 x 10 x 10 x 10 as a number without exponents. A) 500 B) 5,000 C) 100,000 D) 500,000
Answer:
Step-by-step explanation:
It would be C) 100,000
An easy way to remember this, is if your multiplying numbers that end in zero; you simply multiply the number in their 10th place together or hundredths (and so on). Then add the numbers you have in the numbers you multiplied, but it only works if both numbers have 0's and the 0's are at the end.
Ex. 60 x 50+ n
6x5=30
3,000
(65 POINTS AND BRAINLYEST)
What is 5^3in expanded form?
Question 1 options:
5+5+5
3+3+3
5x5x5
3x3x3
Question 2 (1 point)
4^2 = 8
True
False
Question 3
−3^2 = (−3)^2
True
False
Answer:
1) 5×5×5
2) False
3) False
Step-by-step explanation:
5³ basically means 5 is multiplied thrice, i.e
5 × 5 × 5
4² = 4×4 = 16
4² is 16, not 8
(-3)² = -3 × -3 = 9
-(3)² = -9
Answer:
5×5×5
False
False
The graph shown is a translation of the graph of f(x) = x². Write the function in
vertex form
F(x) =
Answer:
plz insert the graph, ill revise my answer
Step-by-step explanation:
Write v = 2x2 + 12x +1 in vertex form.
A. y = (x+3)2 - 17
B. y = (x+4)
C. y=2(x+3)2 – 17
D. y = 2(x + 2)2 + 12
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 2x² + 12x + 1
To express in vertex form use the method of completing the square.
The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x
y = 2(x² + 6x) + 1
add/ subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9) + 1
= 2(x + 3)² - 18 + 1
= 2(x + 3)² - 17 → C
Answer:
answer : C 2(x-3)²-17
Step-by-step explanation:
hello :
answer : C 2(x-3)²-17
calculate : 2(x-3)²-17 = 2(x²-6x+9)-17 = 2x²-12x+18-17
2(x-3)²-17 = 2x²-12x+1.....(right)
(22 points and brainlyest)
Why is Gandalf able to save the dwarves from the trolls in The Hobbit?
because he cleverly confuses the trolls until dawn
because he immediately disguises himself as a Warg
because he magically casts a sleeping spell on them
because he was once a troll himself
Answer:
because he cleverly confuses the trolls until dawn
Gandalf was able to save the dwarves from the trolls in The Hobbit because he cleverly confuses the trolls until dawn.
From the story, it should be noted that the dwarves will have been killed by the trolls if not for the help of Gandalf.This wasn't because he magically casts a sleeping spell on them but rather because he cleverly confuses the trolls until dawn. Then, after confusing them, the dwarves escaped.Read related link on:
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Eva has 183 beads. She
uses 37 beads to make
a necklace. About how
many beads does she
have left over?
beads
Answer:
140
Step-by-step explanation:
183-37=146
Answer: 146beads
Step-by-step explanation:
Eva has 183beads
She used 37beads
How many left
To get that, you will deduct the used from the exact value
=183-37
=146beads
The table below represents a breakdown of food costs for Esther, a traveling
nurse. On average, how much does she spend on dinner?
Breakfast
Lunch
Dinner
Mon.
$7 88
$13.41
$18.80
Tue.
$12.02
$11.79
$22. 13
Wed.
$9.64
$14.55
$20 79
Thurs
$6.98
$16.09
$24.82
Fri.
$13 30
$10.76
$16.74
O
A. $20.66
O
B. $12.56
O
C. $10.09
D. $9.96
Answer:
d. 9.96
Step-by-step explanation:
Trust me, I kept googling this for almost an hour.
The Average of the Dinner is 20.66.
What is Average?In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
The data for dinner is:
18.8, 22.13, 20.79, 24.82, 16.74
The Average of the Dinner is
= ( sum of all data for dinner)/ Total Number of Dinner
As, sum of all data for dinner = (18.8 + 22.13 + 20.79 + 24.82 + 16.74)
=103.28
and, Total Number of Dinner = 5
Now put the values we get
= (18.8 + 22.13 + 20.79 + 24.82 + 16.74) / 5
= 103.28/ 5
= 20.656
= 20.66
Thus, the average of the dinner is 20.66
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I need help with this question please I’ll mark as brainliest
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (8, - 14), thus
y = a(x - 8)² - 14
To find a substitute (5, 13) into the equation
13 = a(5 - 8)² - 14
13 = a(- 3)² - 14
13 = 9a - 14 ( add 14 to both sides )
27 = 9a ( divide both sides by 9 )
a = 3
Thus
y = 3(x - 8)² - 14 → C
(5m+100) (2m+10) what is the value of m
Answer:
This is not an equation, so m's value cannot be determined.
Step-by-step explanation:
What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches? Use 3.14 for π. Round your answer to the nearest hundredth.
Answer:
113.04 cubic inches
Step-by-step explanation:
V=π * r^2 *(h/3)
V= 3.14 * 36 * (3/3)
V = 3.14 * 36 * 1 = 113.04
Answer:
25.12
Step-by-step explanation:
Please solve this I am sooo confused help meeeee please please please. I will give you 15 points.
Solve the system of the equations:
a.)
3(x+y)−7=12x+y
6(y−2x)−1=−45x
b.)
5(x+2y)−3=3x+5
4(x−3y)−50=−33y
c.)
4x+1=5(x−3y)−6
3(x+6y)+4=9y+19
Answer:
the answer is a
Step-by-step explanation:
Answer:
a. x=-1/3 y=2
b. x=-166 y=34
c. x=16/3 y=-1/9
Step-by-step explanation:
HELP PLSSSSKSSKSKSKSKSJSKFJIWIRR
The answer is -1 or d, because -1 1/2 and 3/2 are equal, except for the fact that -1 1/2 is negative.
find the value of x
helpp plss
Math HELP 15 Points For Correct Answer
Answer:
20260
Step-by-step explanation:
The area of the side lengths is base (75) * slant height (97.5) * 1/2 *4 = 14635
The area of the base is 75^2 = 5625
Add them together ot get 20260
someone anyone please help me
Answer:
I am not answering that lol
Step-by-step explanation:
How many ways can a committee of 4 people be chosen from a group of 8 people if the members are selected in no particular order?
Answer:
70
Step-by-step explanation:
There are 8 choices for the first member, 7 for the second, 6 for the third, and 5 choices for the fourth member (because once you pick someone as a member, they cannot be picked again)
So you have:
8*7*6*5 = 1680
However, we realize that in this particular problem, order DOES NOT matter. (for example, ABCD is the same as DCBA.)
So we divide 1680 by 4! (4*3*2*1) to end up with 70.
You do this because because there are 4! ways to arrange 4 people in a line, and since order doesn't matter, only one of those arrangements counts.
The peak of the house formed what type of triangle?
. acute
. equilateral
. obtuse
Answer:
Acute
Step-by-step explanation:
The peak of the house forms acute angled triangle.
what percent of 3,201= 2,750
Answer:
86%
Step-by-step explanation:
1) divide 2750 by 3201 to get a part/whole ratio for a percent
2) divide and get 85.91%
Answer:
x = 85.9%
Step-by-step explanation:
Step 1: Make an equation
[tex]3201 * x = 2750[/tex]
[tex]3201x = 2750[/tex]
Step 2: Divide both sides by 3201
[tex]3201x / 3201 = 2750 / 3201[/tex]
[tex]x = 0.859...[/tex]
Step 3: Convert to percentage
[tex]x = 0.859... * 100[/tex]
x = 85.9%
Answer: x = 85.9%
Rewrite 1/9 with a denominator of 27
Answer: 3/27
Step-by-step explanation:
Multiply both numbers by 3 so that the denominator is 27
The required fraction is 3/27 is 1/9 with a denominator of 27.
Here, we have,
given that,
we have to Rewrite 1/9 with a denominator of 27
so, we get,
the fraction is 1/9
now, we need a denominator of 27
let, x must be multiplied to make the denominator of 27
i.e. 9*x = 27
or, x = 3
so, we get,
Multiply both numbers by 3 so that the denominator is 27.
i.e. 1/9 = 3/27
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A cylinder has a base radius of 6 inches and a height of 14 inches. What is its volume
in cubic inches, to the nearest tenths place?
Final answer:
The volume of the cylinder is 1580.64 cubic inches.
Explanation:
To find the volume of a cylinder, we can use the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height.
In this case, the radius, r, is 6 inches and the height, h, is 14 inches.
So, the volume is calculated as follows:
V = π(6²)(14) = 3.14(36)(14) = 1580.64 cubic inches.
HELP ME ASAP NOW NOW NOW NOW !
C. 33π in^2
Here is why:
The formula for the surface area of a cone is:
[tex]SA=\pi r^2+\pi rl[/tex]
We can plug in the numbers from the picture, but we will keep π and not put it as 3.14, since the answer choices are in π.
[tex]SA=(\pi *3*3)+(\pi *3*8)[/tex]
[tex]SA=9\pi +24\pi[/tex]
SA = 33π
Answer is:
33π in^2
Answer:
you could have asked nicely
Step-by-step explanation:
Which polynomials are in standard form?
Choose all answers that apply:
5 - 2x
x^4 - 8x^2
5x^3 + 4x^4+ – 3x + 1
None of the above
Answer: B
Step-by-step explanation:
I guessed and I got it right
A weight is suspended from a spring and allowed to hang at its rest position. It is then pulled down 2 in, released, and allowed to oscillate up and down. Its location (in inches) relative to its rest position is given by the function f(t)=2sin(2.5t - pi/2), where t is the time in seconds. How much time will it take for the weight to move through one complete cycle of motion? A.) 2.5 seconds B.) 3.1 seconds C.) 3.8 seconds D.) 5.0 seconds
what is 0.006772 rounded to 1 significant figure?
and whats the method to doing it?
Answer:
0.007
Step-by-step explanation:
( 0.006) 6 is the first significant number.
The number next to it is seven. (0.0067) in which 7 is greater than 5.
therefore, add 1 .
the final answer is 0.007
0.006772 rounded to 1 significant figure is 0.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, 0.006772 and we'll round this to 1 significant figure means only one digit it will have after the decimal place.
So, 0.006772
= 0.006770
= 0.00677
= 0.00680
= 0.00700
= 0.007
= 0.010
= 0.01
= 0.00
= 0.
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The sum of -4 and 5 times a number is multiplied by 3. The result is 212 less than 7 times the number. What is the number?
Answer:
104
Step-by-step explanation:
First, put the word equation into a numerical equation.
-4+5x=7x-212 This is our equation
-4=2x-212 I subtracted 5x from both sides
208=2x I added 212 to both sides
104=x I divided both sides by 2
To solve the problem, we can set up an equation and solve for the variable 'x'. The number is x = -25.
Explanation:To solve this problem, we can translate the given information into an equation. Let's assume the number is 'x'. The sum of -4 and 5 times 'x' is -4 + 5x. The equation becomes 3(-4 + 5x) = 7x - 212. We can simplify this equation and solve for 'x' to find the number.
First, distribute the 3 to -4 and 5x, which gives us -12 + 15x = 7x - 212. Then, combine like terms by subtracting 7x from both sides, which gives us -12 + 8x = -212. Next, add 12 to both sides to isolate the variable, resulting in 8x = -200. Finally, divide both sides by 8 to solve for 'x'. The number is x = -25.
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A 7 cm x 5 cm rectangle sits inside a circle with radius of 6 cm.
What is the area of the shaded region?
Answer:
78.04 square cm
Step-by-step explanation:
Area of shaded region = area of circle - Area of rectangle
[tex] = \pi \: {r}^{2} - l \times w \\ = 3.14 \times {6}^{2} - 7 \times 5 \\ = 3.14 \times 36 - 35 \\ = 113.04 - 35 \\ = 78.04 \: {cm}^{2} [/tex]
Answer:
78.04 cm^2
Step-by-step explanation:
Hope this helps!
Given that
5x:8=7:2
Calculate the value of x
Answer: 5.6
Step-by-step explanation:
5x:8=7:2
Ratio means division
So we can rewrite as
5x/8=7/2
Using cross multiply
5x×2=7×8
10x=7×8
10x=56
X=56/10
X=5.6
The value of X= 5.6
Answer:
x = 5.6
Step-by-step explanation:
Expressing the ratio in fractional form, that is
[tex]\frac{5x}{8}[/tex] = [tex]\frac{7}{2}[/tex] ( cross- multiply )
10x = 56 ( divide both sides by 10 )
x = 5.6