Answer:
12600 in³
Step-by-step explanation:
Applying,
V = lwh................. Equation 1
Where V = volume of the prism, l = length of the base, w = width of the base, h = height of the prism.
From the question,
Given: l = 40 inches, w = 35 inches, h = 12 inches
Substitute these values into equation 2
V = 40(35)(12)
V = 16800 in³
If the volume of water is 75% the capacity of tank.
Therefore,
Volume of water = 0.75(V)
Volume of water = 0.75(16800)
Volume of water = 12600 in³
what is the perimeter of a rectangle with a base of 5 and a height of 8
Answer:
26
Step-by-step explanation:
Perimeter= width+height+width+height
= 5 + 8 + 5 + 8
= 26 cm
Hope this helps!
Hey, I need help for this question, not sure what it is. Please respond quickly!
Use the diagram and given information to answer the questions and prove the statement.
Given: Angle X ≅ Angle Z
XY ≅ ZY
Prove: AZ ≅ BX
Prove AZ ≅ BX using a flow chart proof.
Answer:
my answer is in this picture. sorry about my handwriting and my presentation because i am a Asian student and cant show better presentation
Which statement is true?
Question 13 options:
A)
–|3| = 3 and |4| = 4
B)
|–3| = 3 and –|–4| = –4
C)
|–3| = 3 and –|4| = 4
D)
|–3| = 3 and |–4| = –4
Interest earned:$45 Principal: ? Interest rate: 3% Time: 2 years
Answer:
The Principal = $75,000
Step-by-step explanation:
Formula for finding the principal:
I × 100/ R × T
Therefore;
Principal = 45 × 100 / 3/ 100 × 2
[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]
Which means that the Principal is $75,000.00
solve for x and y in the system of equation
y=x²-4x
2x-y=2
I'll mark brainliest
Step-by-step explanation:
[tex]y = {x}^{2} - 4x \\ y = x(x - 4) - - - (a) \\ 2x - y = 2 \\ y = 2x - 2 \\ y = 2(x - 2) - - - (b) \\ (a) = (b) : \\ x(x - 4) = 2(x - 2) \\ {x}^{2} - 4x = 2x - 2 \\ {x}^{2} - 6x + 2 = 0 \\ x = 5.6 \: \: and \: \: 0.4 \\ y = 2(5.6 - 2) \: \: and \: \: 2(0.4 - 2) \\ y = 7.2 \: \: and \: \: - 3.2[/tex]
find the volume of a cylinder with radius 5 and surface area 180pi
Answers : either 200pi or 325pi help !
Answer:
The volume of a cylinder is 325π.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex]V = \pi r^{2}h[/tex]
Where:
h: is the height
r: is the radius = 5
We can find "h" from the surface area of the cylinder:
[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]
[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]
Hence, the volume is:
[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]
Therefore, the volume of a cylinder is 325π.
I hope it helps you!
An author published a book which was being sold online. The first month the author sold 14400 books, but the sales were declining steadily at 5% each month. If this trend continues, how many total books would the author have sold over the first 23 months, to the nearest whole number?
Answer:
The author sold a total of 30240 books following this trend.
Step-by-step explanation:
Let's find 5% of 14400 first;
14400 * 5%
14400 * 5/100
144 * 5
720 (So now we know that they are decreasing by 720 each month; therefore thats the constant)
=> aₙ = a₁ + r(n - 1)
=> a₂₃ = 14400 + 720(23 - 1)
=> a₂₃ = 14400 + 720(22)
=> a₂₃ = 14400 + 15840
=> a₂₃ = 30240
Hope this helps!
The author sold a total of 30240 books following this trend.
Let's find 5% of 14400 first;
[tex]14400 * 5\%\\14400 * 5/100\\144 * 5=720[/tex]
What is an arithmetic progression?A, is a type of numerical sequence studied by Mathematics, where each term or element counting from the second is equal to the sum of the previous term with a constant.
So using the arithmetic progression we have:
[tex]a_n = a_1 + r(n - 1)\\a_{23} = 14400 + 720(23 - 1)\\ a_{23} = 14400 + 720(22)\\ a_{23} = 14400 + 15840\\a_{23} = 30240[/tex]
See more about arithmetic progression at brainly.com/question/20385181
Factor completely . 121 - x ^ 2
Answer: Since both terms are perfect squares, factor using the difference of squares formula,
a 2 − b 2 = ( a + b ) ( a − b) where a = 11 and b = x . ( 11+x) (11-x)
Which situation can be modeled by a linear function?
A. The population of bacteria triples every day.
B. The value of a cell phone depreciates at a rate of 3.5% each year.
C. An amusement park allows 50 people to enter every 30 minutes.
D. A baseball tournament eliminates half of the teams after each round.
Answer:
(3) An amusement park allows 50 people to enter every 30 minutes.
Step-by-step explanation:
I hope it helped because it helped me so much.
Please help me
The question is at what rate did rain fall
Answer:
4 cm per hour that's the answer
бр - 5 =13
need help !
Answer:
[tex]p=3[/tex]
Step-by-step explanation:
[tex]6p-5=13[/tex]
[tex]+5[/tex] [tex]+5[/tex]
[tex]6p=18[/tex]
[tex]/6[/tex] [tex]/6[/tex]
[tex]p=3[/tex]
A man earns$140 in 5 day week. What is his pay for 3 days?
please this is ratio and proportion
Answer:
$84
Step-by-step explanation:
Do 3/5*140 which will give you 84 dollars
whats is the answer to 7 x 1781
Answer:
12,467
Step-by-step explanation:
7 · 1781 = 12467
Which expression is equivalent to
Hey there!
(a^8)^4
= a^(8)(4)
8(4) = 32
= a^32
Answer: a^32
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
If AD = 5.1cm, find the height (in cm) of the triangle.
Answer:
I. AC = 15 cm
II. h = 7.4 cm
Step-by-step explanation:
I. Determination of AC
AB = 9 cm
BC = 12 cm
AC =?
The length AC can be obtained by using pythagoras theory as illustrated below:
AC² = AB² + BC²
AC² = 9² + 12²
AC² = 81 + 144
AC² = 225
Take the square root of both side
AC = √225
AC = 15 cm
II. Determination of the height.
AB = 9 cm
AD = 5.1 cm
BD = h =?
The height of the triangle can be obtained by using pythagoras theory as illustrated below:
AB² = AD² + BD²
9² = 5.1² + h²
81 = 26.01 + h²
Collect like terms
h² = 81 – 26.01
h² = 54.99
Take the square root of
h = √54.99
h = 7.4 cm
help me pleaseeee i’m begging!!!!
Answer:
The student did not complete the inverse operations correctly in Step 3
Gia is thinking of a number, witch she calls n .she adds 4 to the number and then doubles the sum.
write an expression to represent Gia's number.
Answer:
2(n+4)
good luck
Answer:
n+4=n×2
Step-by-step explanation:
that is the equation
HELP PLEASE I need an answer ASAP
Answer:
72/97
Step-by-step explanation:
take angle c as reference angle
to find sin c
sin c = opposite / hypotenuse
sin c = 72 / 97
Answer:
i dont know
Step-by-step explanation:
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
14
Step-by-step explanation:
AB = 10+( 10/15 × 6)
= 10 + 4= 14
pls help me im so confused
5n-17=2n+1
Answer:
n=6
Step-by-step explanation:
5n-17=2n+1
Subtract 2n from each side
5n-2n-17=2n-2n+1
3n -17 = 1
Add 17 to each side
3n -17+17 = 1+17
3n = 18
Divide by 3
3n /3 = 18/3
n=6
[tex] \large \sf \star \: \green{Answer }\: \star[/tex]
[tex] \small \sf \fbox{n = 6}[/tex]
Step-by-step explanation:[tex] \small \sf \mapsto \: 5n \: - 17 = 2n + 1[/tex]
subtract 2n from both side
[tex] \small \sf \mapsto \: 5n \: - 2n \: - 17 = 2n \: - 2n + 1[/tex]
[tex] \small \sf \: \mapsto \: 3n \: - 17 = 1[/tex]
Add 17 to both side
[tex] \small \sf \mapsto \: 3n \: - 17 + 17 = 1 + 17[/tex]
[tex] \small \sf \mapsto \: 3n \: = 18 [/tex]
Divide 18 by 3
[tex] \small \sf \: n \: = \frac{18}{3} \\ [/tex]
n = 6
A woman buys 50 eggs for $6.60. Some cost 12 cents each and the rest 14 cents each.
How many of each kind of eggs has she bought?
Answer:
She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.
Step-by-step explanation:
Create a system of equations where x is the number of 12 cent eggs and y is the number of 14 cent eggs.
x + y = 50
0.12x + 0.14y = 6.6
Solve by elimination by multiplying the top equation by -0.12:
-0.12x - 0.12y = -6
0.12x + 0.14y = 6.6
Add these together and solve for y:
0.02y = 0.6
y = 30
So, she bought 30 eggs that were 14 cents. Plug in 30 as y into one of the equations, and solve for x:
x + y = 50
x + 30 = 50
x = 20
So, she bought 20 eggs that were 12 cents.
She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.
I need help on this please!
Answer: The correct answer is D, also for part B, do you need help with that one too?
Step-by-step explanation:
What is the domain of the function of y=√x+8 -7
Answer:
Step-by-step explanation:
Recall that the argument of the square root function y = √x must always be 0 or greater.
If you meant y=√x+8 -7, the domain is therefore [0, infinity).
But if you meant y=√(x+8) -7, the domain is [-8, infinity).
Those parentheses are important!
if 1 cm = 10 km then how much is 8 km? And how much is 5 km? i will give brainly
Answer:
0.8 cm = 8km
0.5cm = 5km
hope this helps
plz help ill make u brainliest
A manufacturer ships its product in boxes with edges of 4 inches. If 12 boxes are put in a carton and completely fill the carton, what is the volume of the carton?
What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the segment into a ratio of 2 to 3?
Answer:
(0, -4)
Step-by-step explanation:
The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)
The ratio the required point partitions the line = 2 to 3
The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;
[tex]\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)[/tex]
Therefore, the required point is located as follows;
[tex]\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)[/tex]
The coordinates of the point is (0, -4)
how do i solve this using multi-step ?
Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−4)=2(−2x+1)
(3 )(x)+(3 )(−4)=(2) (−2x)+(2) (1)(Distribute evenly)
3x+(−12)=−4x+2
3x−12=−4x+2
Step 2: Add 4x to both sides.
3x−12+4x=−4x+2+4x
7x−12=2
Step 3: Add 12 to both sides.
7x−12+12=2+12
7x=14
Step 4: Divide both sides by 7.
7x /7 =14 /7
x=2
If you have $50 in yo ur bank account, deposit a $50 birthday check, and withdraw $20 to buy a shirt, how much is left in your account at the end?
Answer:
80
Step-by-step explanation:
50+50=100-20=80
During a pancake making contest, Team A makes 8 more pancakes than team B. Team C made twice as many pancakes is team B. Together, the three teams made a total of 72 pancakes. How many pancakes did team A make?
Answer:
A = 24
Step-by-step explanation:
Use the problems provided info!
A = B+8
C = 2B
72 = B+8+2B+B
72-8 = 4B
6434 = 4B/4
16 = B
A = 24
B = 16
C = 32
What are the domain and range of the function f(x)=-3(x-5)2 +4?
domain: (-00, 5)
range: (-00,00)
domain: (-0,4]
range: -00,00)
domain: (-0,5]
range:
(-0,4]
O domain: (-0,00)
range: (-0,4]
Answers:
Domain is [tex](-\infty, \infty)[/tex]
Range is [tex](-\infty, 4][/tex]
============================================
Explanation:
We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.
Therefore, the domain is the set of all real numbers which translates to the interval notation of [tex](-\infty, \infty)[/tex]
This interval notation can be thought of as [tex]-\infty < x < \infty[/tex]
----------------------------
The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.
In other words, y = 4 or y can be smaller than this.
In symbols, we would say the range is [tex]y \le 4[/tex] and that translates to the interval notation of [tex](-\infty, 4][/tex]
The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".