Answer:
5.67648 * 10^12 miles
Step-by-step explanation:
Given that:
Speed of light = 1.8x10^5 mi per sec.
The number of miles in a light year will be :
Distance = speed * time
The time in seconds in a year is :
365 days * 24 hours * 60 mins * 60 sec = 31536000 seconds
Hence,
The number of miles in a light year :
1.8x10^5 * 31536000 = 5676480000000
= 5.67648 * 10^12 miles
6 The manufacturer of an oven states that the
temperatures displayed while cooking are within a
5% error. Rachel is using the oven to cook a chocolate
cake that must be cooked at a temperature below
325°C. The oven display shows a temperature of 310°C.
Can Rachel be certain that the temperature is suitable
for cooking her cake? Explain your answer.
Result, Rachel can be certain that the temperature is suitable for her cake.
Rachel cannot be certain that the temperature displayed on the oven is suitable for cooking her cake.
The manufacturer's claim of a 5% error on the displayed temperature means that the actual oven temperature can be off by 5% in either direction. To calculate the range of possible actual temperatures, we need to find 5% of 310°C. 5% of 310 = (5/100) * 310 = 15.5°C This means that the oven temperature could be 15.5°C higher or 15.5°C lower than the displayed temperature.
To find the maximum possible temperature, we add the error to the displayed temperature: 310°C + 15.5°C = 325.5°C Since the maximum possible temperature is slightly above 325°C, Rachel cannot be certain that the temperature is suitable for cooking her cake, as it needs to be cooked at a temperature below 325°C. It's important for Rachel to consider using an alternative thermometer or verifying the actual temperature with the oven manufacturer to ensure the cake is cooked at the desired temperature.
To know more about thermometer visit:
https://brainly.com/question/16840415
#SPJ2
can someone please help me answer this? i will mark you brainliest!!! i really need help plss
Answer:
3.5
Step-by-step explanation:
If you get more like this just divide the big triangle to the small one. on the same lengths. Example: on this one do 14/4 = 3.5, 10.5/3 = 3.5, 21/6 = 3.5
Hope this helps! :)
2 3/5 * 3 1/3
Just answer please
Answer: 8.66666666667
Step-by-step explanation:
Answer:
26/3 in the simplest fraction.
Find the range of the graphed function.
a. 0 ≤y ≤10
b. y ≥0
c. y is all real numbers.
d.-9 ≤y ≤5
9514 1404 393
Answer:
d. -9 ≤ y ≤ 5
Step-by-step explanation:
The range is the vertical extent of the graph. This graph goes from a low of -9 to a high of +5. Then the range is ...
-9 ≤ y ≤ 5
gn=3⋅2^n-1
what is the 10th term
Answer:
ehh
Step-by-step explanation:
i need this ASAP!!!
please helppppp
Answer:
EASY
Step-by-step explanation:
the answer is ..........................................................................
2
3
If a:b = 2:5 and b:c = 3:4, find (i) a:c (II) a:b:c
Answer:
(i) 3:10
(ii) 6:15:20
Step-by-step explanation:
a : b
2 : 5
b : c
3 : 4
Since both values of b in the two ratios are different, we need to multiply each ratio so that they are the same. I will multiply the first ratio by 3 and the second ratio by 5 so that b = 15 units.
a : b
6 : 15
b : c
15 : 20
Now that both values of b are the same, we can arrange the variables a, b and c together.
Thus:
a : b : c
6 : 15 : 20
a : c
6 : 20
3 : 10
Angie is thinking of a number that is divisible by both 8 and 12. What is the smallest number that Angie could be thinking of?
Answer:
24
Step-by-step explanation:
Answer:
Angie is thinking of the number 24.
Explanation:
24 can be divided into 8 three times & can be divided by 12 only two times.
Anybody know the answer
Answer:
x ≈ 10.9
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan38° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{14}[/tex] ( multiply both sides by 14 )
14 × tan38° = x , then
x ≈ 10.9 ( to the nearest tenth )
can someone PLZZZZZZ help me on this real quick im putting alot points on it and PLZZZ dont guess im begging u plz and dont ignore me!
Answer: 2/11
Step-by-step explanation: trust me
Can someone please help with this.
Answer:
92
Step-by-step explanation:
Sum of 2 interior angles= exterior angle so
148=56+h
h= 148-56
Plz help me with this
Answer
C
Step-by-step explanation:
open circle means not included
Please explain and answer asap
Pleeaase help.......
Select ALL the correct answers
Which equations have infinitely many solutions?
Answer:
The 1st, 3rd and 4th
Step-by-step explanation:
Answer:
Options B and D
Step-by-step explanation:
Let's solve each equation:
x-3x=-2x+4
-2x=-2x+4
0=4
No solutions, so A is wrong
x-1/3(3x)=0
x-(3x/3)=0
x-x=0
0=0
Infinitely many solutions, so B is correct
1/3x-3=4+2x
1/3x=7+2x
-5/3x=7
x=-21/5
One solution, so C is incorrect
3x+2-1/3(3x)=2+2x
3x+2-(3x/3)=2+2x
3x+2-x=2+2x
2x+2=2+2x
2x=2x
0=0
Infinitely many solutions, so D is correct
x-1/3x+2=0
2/3x+2=0
2/3x=-2
x=3
One solution, so E is incorrect
As you can see, when both sides of the equations are equal to each other such as 0=0 and x=x, you'll always have infinitely many solutions. Therefore, options B and D are correct
WILL GET BRAINLIST
5x+106=7x-10
Answer:
The answer is 0. hope it helps
Step-by-step explanation:
Answer:
x=58
Step-by-step explanation:
5x+106=7x-10
-2x = -116
x = 58
6 3/4 + 3 1/8 please whats the answer
Answer:
9 7/8 is the answer, hope this helps!
Step-by-step explanation:
Step-by-step explanation: so 9 7/8
hope this hleps you some
Can you match it??. Only if you know please
Answer:
Step-by-step explanation:
triangle: a+b>c. If two lengths are put together, and equals more than the length of the third side, then it's a triangle
right triangle: a2+b2=c2 if the square of the two lengths equal the square of the third, then it's a right triangle
acute triangle: a2+b2>c2 if the square of the two lengths are greater than the square of the third it's acute
obtuse triangle:a2+b2<c2 if the square of the two lengths are less than the square of the third it's obtuse
Give the slope of any line that is perpendicular to the line y = -1/8 x + 5
Answer:
8
Step-by-step explanation:
To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope. In this case we are already given the slope as the coefficient to x: -1/8. The negative reciprocal of that is 8/1, or just 8.
Helppp!! you will be awarded brainliest , but only if its right .
Answer:
A or c
Step-by-step explanation:
question is attached
Hello!
[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]
[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]
Find the inverse by swapping the x and y variables:
[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]
Begin simplifying. Multiply both sides by 4y - 5:
[tex]x(4y - 5) = 2y + 2[/tex]
Start isolating for y by subtracting 2 from both sides:
[tex]x(4y - 5) -2 = 2y[/tex]
Distribute x:
[tex]4yx - 5x - 2 = 2y[/tex]
Move the term involving y (4yx) over to the other side:
[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]
Factor out y and divide:
[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]
Use this equation to evaluate [tex]f^{-1}(3)[/tex]
[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]
whoever answeres this question will get brainly
Answer:
the answer might be the 3 option if not then 1
Step-by-step explanation:
hope this helps and tell me if im wrong:)
Isabella deposited $2,000 in an account that pays 5% simple annual interest. After one year, how much interest in dollars and cents will her investment have paid? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
$100
Step-by-step explanation:
Simple Interest formula is given as:
A = P(1 + rt)
Where
A = Amount after t years
P = Principal = Initial Amount Invested = $2000
r = Interest rate in t years = 5%
t = time = 1 year
A = 2000(1 + (0.05 × 1)) = 2100
A = $2,100.00
The Amount after 1 year = $2100.00
The Simple Interest is calculated as
= A - P
= $2100 - $2000
= $100
Therefore, after 1 year her investment would have paid $100
WILL GET BRAILIEST FOR CORRECT ANSWER
if x^2=20, what is the value of x?
a. +_ sqrt 10
b. +_sqrt 20
c. +_ 10
d. +_40
(the +_ is that weird symbol that has the plus sign on top of the underscore, i forget what its called)
Answer:
x = ± [tex]\sqrt{20}[/tex]
Step-by-step explanation:
Given
x² = 20 ( take the square root of both sides )
x = ± [tex]\sqrt{20}[/tex]
which can be simplified to
x = ± 2[tex]\sqrt{5}[/tex]
[ ± means plus or minus ]
what is 4/12 as a percent
Answer:
33.333333333333%
Step-by-step explanation:
The perimeter of a triangle is 108ft. The sides lengths are in a ratio of 2:3:7. How long is the shortest side?
Answer:
18ft
Step-by-step explanation:
2+3+7 = 12 (this means that 108ft is [tex]\frac{12}{12}[/tex])
The shortest side would be [tex]\frac{2}{12}, or \frac{1}{6}[/tex] of 108ft
To find this, we divide 108 by the denominator (6) to get 18ft
We would usually multiply this by the numerator when finding a fraction of an amount, but as the numerator is 1, the answer would stay as 18ft.
Which expressions have a value of 7? Select all that apply.
Answer:
G 42/6
H 2+5
K 7+0
L 7^1
Step-by-step explanation:
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2007, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 1344.
Years since 2007 (x) New Cases (y)
0 1112
1 1081
2 1116
3 1159
Answer:
y=17.6x+1090.6
2021
Step-by-step explanation:
Got this off of Delta Math. So this answer is 100 percent correct!
I’ll mark you brainlist I’ll mark you brainlist
Answer:
39°
Step-by-step explanation:
The equation is
3h+72+8h+95=90
11h+167=90
11h=-77
h=-7
So RGK=
8.-7+95
-56+95
39
Zach is saving money to purchase a car. He has already saved $800 in an account. He is going to deposit $75 in the account every week He will not make any withdrawals or any other deposits
Part B
If Zach saves his money for 24 weeks, use your equation to find how much money he will have saved. Show your work and explain your answer. If the answer is correct I will award brainiest.
Answer:
$2600 I believe
Step-by-step explanation:
Since he puts $75 in his account every week and he save his money for 24 weeks, 75 times 24= 1800 and he already had $800 in his account, so 1800+ 800= 2600
Marcus has a life insurance policy that will pay his family $35,000 per year if he dies. If interest rates are at 2.5% when the insurance company has to pay, what is the amount of the lump sum that the insurance company must put into a bank account ?
A. $350,000
B. $3.5 million
C. $1.4 million
D. $1 million
Answer:
$1.4 million
Step-by-step explanation:
A P E X
Answer:1.4 million
Step-by-step explanation: