Answer
(tan x + 3)=5
Step-by-step explanation:
What’s the answer to this ?
Answer:
Step-by-step explanation:
[tex]0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x[/tex]
1st box: 140
2nd box: 140
3rd box: 35
Alex has 512 cubes, with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes.
A) First, find the volume of each cube:
V = s³
= (1/2)³
= 1/8 ft³
We have a total of 64 cubes, therefore the maximum volume will be:
Vmax = 64 · (1/8) = 8 ft³
B) The volume of a rectangular prism is given by:
V = w × l × h
Therefore any combination of w × l × h = Vmax = 8 will be fine.
Examples:
2 × 2 × 2
4 × 2 × 1
At football practice, James had to sprint 40 yards along the field. He did this sprint 22 times.
What distance did he run, in miles?
Answer:
0.5 miles.
Step-by-step explanation:
Remark
I'm going to assume that the total number of sprints was 22. If he sprinted back then there and back counts as 2 sprints.
Formula
Total distance = 22 * 40
Solution
Total distance = 880 yards.
There are 1760 yards in a mile.
The number of miles he ran was 880/1760 = 1/2 mile or 0.5 miles.
Solve this please. Tell me an accurate answer for this word problem?
Answer:
81.8 kg
Step-by-step explanation:
Answer:
81.8
Step-by-step explanation:
Decimals work just like basic addition.
Line it up at the decimal point.
46.2
+ 35.6
_______
81.8
Help 9-11 thank you !
Answer:
9 - 11 = -2
Step-by-step explanation:
Because 9 is being subtracted by a number greater than itself, the answer has to be a negative and because:
9 + 2 = 11
9 - 11 = (-2)
Your Welcome :)
Select all the equivalent ratios of 3:1
Answers:
A. 9:3 ; 6:2
B. 2:6 ; 3:9
C. 12:4 ; 15:5
D. 18:6 ; 27:9
Answer:
A,CStep-by-step explanation:
Round to the nearest tenth if necessary.
Factor this trinomial.
x²+x-2
A. (x - 2)(x - 1)
B. (x-2)(x + 1)
O C. (x + 2)(x - 1)
D. (x + 2)(x + 1)
Answer:
(x−1)(x+2)
Step-by-step explanation:
The middle number is 1 (1x) and the last number is -2.
Factoring means we want something like
(x+_)(x+_)
We need two numbers that...
Add together to get 1
Multiply together to get -2
Try -1 and 2:
-1+2 = 1
-1*2 = -2
Fill in the blanks in
(x+_)(x+_)
with -1 and 2 to get...
(x-1)(x+2)
Hope this helps!
A spinner has 6 equal sections marked 1 through 6. You spin and land on a number less than 6?
19 pounds = how many
ounces
Answer:
304oz
Step-by-step explanation:
Need help ASAP!!!
Solve for the missing angle.
Answer:
D 56
Step-by-step explanation:
cos x = 5/9
x = 56°
have a great day
Write integer to describe each situation. A. Charge of 24$ is debited from a bank account
Answer:
-24
Step-by-step explanation:
To represent a charge of $24 debited from a bank account, this type of transaction being described as a debit means that a sum of $24 was deducted from the account, meaning the total amount in the account will reduce after this transaction takes place. Hence a charge of $24 being debited will take a negative sign as could be represented by the integer - 24
You sold 500 shares of Intel for $26.75 per share. Your broker charges you a
commission of $2.75 per thousand dollars of stock bought or sold. How much
money will be credited to your account when you sell? (Remember, commissions
are subtracted out of your transaction.)
Answer: $13339.25
Step-by-step explanation:
Since 500 shares of Intel were sold for $26.75 per share, the total amount will be:
= 500 × $26.75
= $13375
Since the broker charges a
commission of $2.75 per thousand dollars of stock bought or sold, the amount charged by the broker on $13375 will be:
= $2.75 × 13
= $35.75
The amount that'll then be credited into ones account will be:
= $13375 - $35.75
= $13339.25
4. Calcula la rapidez promedio de un perro que
recorre una distancia de 20 metros en 4
segundos.
Answer:
5 m/s
Step-by-step explanation:
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.
(Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.)
The difference of the original two-digit number and the number with reversed digits is........
.
Answer:
The difference of the original two-digit number and the number with reversed digits is 18.
Step-by-step explanation:
Since it's a two digit number, let x represent the tens digit and let y represent the units digit.
Thus, the original two digit number is;
10x + y.
The reverse two digit number is;
10y + x.
We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.
Thus;
5(x + y) = (10x + y) - 13
Multiplying out the bracket gives;
5x + 5y = 10x + y - 13
Rearranging gives;
10x - 5x + y - 5y = 13
5x - 4y = 13 - - - - (3)
Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;
4(x + y) = (10y + x) - 21 - - - (4)
Simplifying gives;
4x + 4y = 10y + x - 21
>> 10y - 4y - 4x + x = 21
>> 6y - 3x = 21 - - - (4)
Solving eq(3) and (4) simultaneously gives;
x = 5 and y = 3
Thus,
Original number = 53
Reversed number = 35
Difference between original and reversed number = 53 - 35 = 18
If a 100 part spinner is spun and then a coin is flipped how many possible outcomes are in the sample space for the compound event
Answer:
200
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
HELP ME I BEG YOU ALL
Answer:
A) 42 boys can count. B) 42/53
Step-by-step explanation:
Good luckk
add brackets to make this statement correct:
7-5-3+4=9
Answer:
7-5+3+4=9
7-5=2+3=5+4=9
i dont know if i am doing this wrong but i got non-fiction, fiction, children, school but it is not an option can someone double check
Answer:
non fic, fiction, children, school
Step-by-step explanation:
fiction: 1/4= 0.25
non fic: 1/2=0.50
school: 1/10= 0.10
children: 3/20= 0.15
The standard gasoline engine for the 2017 Toyota Corolla includes the following data: Configuration: In-line four-stroke, four-cylinder engine Bore: 3.17 in Stroke: 3.48 in Compression ratio: 10.6:1 Assuming an ideal Otto cycle to describe this engine. Consider the working fluid to be air, modeled as an ideal gas with variable specific heat. Determine: (a) The total engine volume VBDC for all cylinders (cu.in). (b) The mass of air (lbm) contained in the engine assuming ambient conditions of 540 R and 14.7 psia. (c) The efficiency of the engine (%). The maximum temperature that occurs during the cycle is 3600 R.
Answer:
a) The total engine volume is 30.3265 in³
b) the mass of air contained in the engine is 0.00129 lbm
c) The efficiency of the engine is 55.6%
Step-by-step explanation:
Given the data in the question;
The configuration is in line with four-stroke, four-cylinder engine.
Bore ( d ) = 3.17 in
Stroke ( L ) = 3.48 in
compression ratio ( r ) = 10.6 : 1
First, we calculate the swept Volume V₁ = π/4 × d²L
we substitute
V₁ = π/4 × (3.17 )² × (3.48) = 27.4655 in³
Now, Compression Ration; r = Vs + Vc / Vc
r = (V₁ + V₂) / V₂
we substitute
10.6 = (27.4655 + V₂) / V₂
10.6V₂ = 27.4655 + V₂
10.6V₂ - V₂ = 27.4655
9.6V₂ = 27.4655
V₂ = 2.861 in³
So
a) total engine volume
[tex]V_{BDC[/tex] = V₁ + V₂
we substitute
[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³
[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³
[tex]V_{BDC[/tex] = 30.3265 in³
Therefore, The total engine volume is 30.3265 in³
b) The mass of air
given that; T = 540°R, P = 14.7 psia
we know that; PV = mRT { R is constant }
we solve for m
m = PV / RT
we substitute
m = (14.7 × 30.3265) / ( 0.3704 × 1728 )540
m = 445.79955 / 345627.648
m = 0.00129 lbm
Therefore, the mass of air contained in the engine is 0.00129 lbm
c) The efficiency
from table { properties of air}
At 540°R; u₁ = 92.04 BTu/lbm, u[tex]_r[/tex]₁ = 144.32
Now process 1 - 2 ( Isentropic ) u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂ = V₁/V₁ = r
so, u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂ = r
144.32 / u[tex]_r[/tex]₂ = 10.6
u[tex]_r[/tex]₂ = 144.32/10.6
u[tex]_r[/tex]₂ = 13.61
Thus, at u[tex]_r[/tex]₂ = 13.61, u₂ = 235 BTU/lbm, T₂ = 1340°R
Now, we know that;
P₁V₁/T₁ = P₂V₂/T₂ ⇒ (P₁/V₁)r = P₂/T₂
⇒ ( 14.7 / 540 )10.6 = P₂/1340
P₂ = 386.664 psia
process 2 - 3; constant volume heat addition;
Now, At T₃ = 3600°R, u₃ = 721.44 BTU/lbm, u[tex]_r[/tex]₃ = 0.6449
so, [tex]q_{in[/tex] = u₃ - u₂
we substitute
so, [tex]q_{in[/tex] = 721.44 - 235 = 486.44 BTU/lbm
Next, process 3 - 4; Isentropic
u[tex]_r[/tex]₄/u[tex]_r[/tex]₃ = V₄/V₃ = r
u[tex]_r[/tex]₄ / 0.6449 = 10.6
u[tex]_r[/tex]₄ = 6.8359
At u[tex]_r[/tex]₄ = 6.8359; u₄ = 308 BTU/lbm
∴
Heat Rejection [tex]q_{out[/tex] = u₄ - u₁ = 308 - 92.04 = 215.96 BTU/lbm
so, [tex]W_{net[/tex] = [tex]q_{in[/tex] - [tex]q_{out[/tex]
[tex]W_{net[/tex] = 486.44 - 215.96
[tex]W_{net[/tex] = 270.48 BTU/lbm
so the efficiency; η[tex]_{thermal[/tex] = ([tex]W_{net[/tex] / [tex]q_{in[/tex] ) × 100%
η[tex]_{thermal[/tex] = ( 270.48 / 486.44 ) × 100%
η[tex]_{thermal[/tex] = ( 0.55604 ) × 100%
η[tex]_{thermal[/tex] = 55.6%
Therefore, The efficiency of the engine is 55.6%
Find the f^-1(x) and it’s domain
Answer:
[tex]f^{-1}(x) = (x + 8)^2[/tex]
[tex]x \ge -8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt x - 8[/tex]
Solving (a): [tex]f^{-1}(x)[/tex]
We have:
[tex]f(x) = \sqrt x - 8[/tex]
Express f(x) as y
[tex]y = \sqrt x - 8[/tex]
Swap x and y
[tex]x = \sqrt y - 8[/tex]
Add 8 to [tex]both\ sides[/tex]
[tex]x + 8 = \sqrt y - 8 + 8[/tex]
[tex]x + 8 = \sqrt y[/tex]
Square both sides
[tex](x + 8)^2 = y[/tex]
Rewrite as:
[tex]y = (x + 8)^2[/tex]
Express y as: [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = (x + 8)^2[/tex]
To determine the domain, we have:
The original function is [tex]f(x) = \sqrt x - 8[/tex]
The range of this is: [tex]f(x) \ge -8[/tex]
The [tex]domain[/tex] of the [tex]inverse[/tex] function is the [tex]range[/tex] of the [tex]original[/tex] function.
Hence, the domain is:
[tex]x \ge -8[/tex]
An inequality is two expressions that are
NOT equal, unlike an equation.
True
False
ryan deposited $1,000 into an accontthat earns 5% simple annual interest. how much does ryan have total after 10 years
Answer:
$500
Step-by-step explanation:
1000x.05=50 per year
50/year x 10 years =500
Mr. Meadows has a 6 and a 1/2 gallon bucket. His dipping can hold one and a 1/2 gallons. 3 times this year to dip into the pond with the dipping can to fill the bucket to the top
Answer:4
Step-by-step explanation:
What shape are the faces, other than the base,
of a pyramid?
Answer:
The base of the pyramid is a triangle, and the lateral faces are also triangles.
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
Answer:
[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]
Step-by-step explanation:
Since, the variables x and y are inversely proportional.
[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]
The pupils in my class work very quickly. Jasleen answers four questions every
30
seconds and Ella answers five questions every
40
seconds.
Last week, Jasleen took exactly
1
hour to answer a large set of questions.
How many minutes more than Jasleen did Ella take to answer the same set of questions?
Answer:
4 mins more would be taken by Ellina
Step-by-step explanation:
Given that
Jasleen answers 4 questions every 30 seconds
And, Ella answers 5 questions every 40 seconds
And, last week Jasleen took exactly 1 hour for answering a large set of questions
We need to find out the number of more minutes taken by Ella
As Jasleen answers four questions every 30 seconds
So, Jasleen answers 8 questions for every 1 minutes
Now
Jasleen answers time taken
= 60 × 8
= 480 questions for every 60 minutes or 1hr
On the other hand
Ella answers five questions every 40 seconds.
So, 1 questions in 8 sec
Now for 480 Questions , it would take
= 480 × 8 secs
= 480 × 8 ÷ 60 min
= 8 × 8
= 64 mins
Hence 4 mins more would be taken by Ellina
What’s the slope?? Please help!
Answer:
I believe the slope of the line is 5
Step-by-step explanation:
5 + 5 = 10
10 + 5 + 15
15 + 5 = 20
Hope this helps :)
What is the value of x?
30
v
O 45
T
(3x) °
O 55
-40
R
O 60
w
Intro
Answer:45
Step-by-step explanation:
The value of x by the given data is 190/3 or 63.33
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The angles between the lines
Now,
To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:
30° + (3x)° + (-40)° = 180°
Simplifying, we get:
(3x)° - 10° = 180°
Adding 10° to both sides, we get:
(3x)° = 190°
Dividing both sides by 3, we get:
x = 190/3
Therefore, by algebra the answer will be 190/3 or 63.33.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ7
I FOUND ANOTHER SCAMMER!!!
they're everywhere now
Answer:
wow okay. I just want points tbh