A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot. The weight of the tabletop, in pounds, is 1032.
What is the volume of the rectangular tabletop?The volume of the rectangular tabletop is the product of the length, breadth, and height of the given tabletop.
Volume of rectangular tabletop= (length x width x height)
The tabletop will have a length of eight feet, a width of three feet, and a thickness of one inch.
Volume of rectangular tabletop= (length x width x height)
= [tex]8 \times 3 \times 1\\\\24[/tex]
A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot.
The weight of the tabletop, in pounds = 43 x 24
= 1032 pounds
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How many 150 ml bottles can be filled with 6 litres/
Answer:
40 bottles
Step-by-step explanation:
6liters=6000ml so I do 6000/150=40.Therfore 40 bottle of 150ml can fill a bottle wth 6 literes
AND SORRY FOR BAD GRAMMAR BUT I HOPE IT HELPS!!
How to Crammers Rule to find k in this equation
Answer:
k = -1/2 or 2
Step-by-step explanation:
For equations ...
ax +by +c = 0
dx +ey +g = 0
Cramer's Rule tells you the solutions are ...
x = (-ce +gb)/(ae -db)
y = (-ga +dc)/(ae -db)
In order for these equations to be consistent, the solution for any pair of them must be the same. It is sufficient for us to find 'k' such that the values of x are the same.
__
first and third equations
x = (-1·7 +1·(k+1))/(1·7 -3·(k+1)) = (k -6)/(4-3k)
second and third equations
x = (3·7 +1·5)/(2k·7 -3·5) = 26/(14k -15)
__
For these values to be the same, we must have ...
(k -6)/(4-3k) = x = 26/(14k -15)
(k -6)(14k -15) = (4 -3k)(26) . . . . . cross multiply
14k² -99k +90 = -78k +104 . . . . . simplify
14k² -21k -14 = 0 . . . . . . . . . . . . . put in standard form
7(2k +1)(k -2) = 0 . . . . . . . . factor
The solutions are the values of k that make the factors zero: k=2, k=-1/2.
These equations will be consistent if k = -1/2 or k = 2.
_____
Additional comment
Using our above expression for x, we can find the value of x for the solution x = -1/2 to be ...
x = 26/(14(-1/2) -15) = 26/(-22) = -13/11
The first equation tells us the corresponding value of y will be ...
x +(-1/2 +1)y +1 = 0
y = -2(x+1) = -2(-13/11 +11/11) = 4/11
For k = -1/2, (x, y) = (-13/11, 4/11).
The attached graph shows the solution for k=2.
For k = 2, (x, y) = (2, -1).
daniel wants to build a sandbox that has a perimeter of 20.5 feet . The length is 5.25
A multiple choice question has five answer options of which two are correct, whast is the probabliuty od randoml;y choosing the correct pair?
Answer:
1/10 or 10%
Step-by-step explanation:
Probability of choosing one correct response: (2 correct options, 5 choices)
2/5
Once we've chosen one correct response, there are 4 options left, one of which is correct:
1/4
2/5 * 1/4 = 2/20 = 1/10
Hope this helps <3
Answer:
It is equally likely for 1, 2, 3, or all to be correct so probability is 1/4
Step-by-step explanation:
Toltal ways in which 2 options can be correct is (42), which is 6. Out of these only 1 is correct. So probability of selecting correct answer is 1/6. Since he has 5 chances the probability of getting marks is 1−(56)5. hope this helps if not let me know have a nice day
15. Find the height of a parallelogram with an area of 41 square meters and
base 8.2 meters
Can you please help
Answer:
1/12 inches
Step-by-step explanation:
1/2 = 6/12
then:
7/12 - 1/2
is equivalent to:
7/12 - 6/12 = (7-6)/12
= 1/12
What value of x makes the
equation true? Write your
answer in the box below,
-1/4x-12=x+3
Answer:
[tex]x = -12[/tex]
Step-by-step explanation:
Step 1: Add 1/4x to both sides
[tex]-\frac{1}{4}x - 12 = x + 3[/tex]
[tex]-12 - \frac{1}{4}x + \frac{1}{4}x = x + 3 + \frac{1}{4}x[/tex]
[tex]-12 = \frac{5}{4}x + 3[/tex]
Step 2: Subtract 3 from both sides
[tex]-12 - 3 = \frac{5}{4}x + 3 - 3[/tex]
[tex]-15 = \frac{5}{4}x[/tex]
Step 3: Multiply both sides by 4/5
[tex]-15*\frac{4}{5}=\frac{5}{4}x * \frac{4}{5}[/tex]
[tex]-12 = x[/tex]
Answer: [tex]x = -12[/tex]
Use the point-slope formula to write an equation of the line that passes through (-1,-6) and (4, 1). Write the answer in slope-intercept form (if possible). h The equation of the line is
Answer:
y = 1.4x - 4.6
hope this helped :)
Find all solutions to the equation
in the interval [0, 2π). Enter the
solutions in increasing order.
cos 2x = cos x
X = [?],
Remember: cos 20 = cos²0 - sin²0
Use the picture attached!!
How many lines of symmetry does the picture have?
A.
1
B.
3
C.
0
D.
2
Answer:
The Correct Answer is C.0.
Hope it hepls you Czn!
Please Mark me as Brainleast!!!!!!!!
surface area of prisms need help ASAP I will give brainliest
Step-by-step explanation:
A=2πr(r+h)
A=6.28×14mm(+29mm)
A=77.92(14mm+29mm)
A=77.92×43
A=3350.56 mm
Hope it helps
KC
Brody goes out to lunch. The bill, before tax and tip, was $14.55. A sales tax of 6% was
added on. Brody tipped 25% on the amount after the sales tax was added. What was
the total cost of the meal, plus tax and tip? Round to the nearest cent.
Answer:
Your answer is $19.06
Step-by-step explanation:
You have to multiply the money by the decimal. In this case 14.55 by 31% (0.31 basically), and then add that to the original price.
Giving brainlest pls awnser quick
Simone is four years older than her sister Olivia. Their combined ages is 28. What are their ages. Show all of your work
Answer:
Simone is 16 and Olivia 12 years old.
Step-by-step explanation:
"Simone is four years older than her sister Olivia."
(1) Simone age = Olivia age + 4
"Their combined ages is 28."
(2) Simone age + Olivia age = 28
→ We can substitute from the first equation (1) Simone age with Olivia age + 4 into the second equation (2)
Simone age + Olivia age = 28
Olivia age + 4 + Olivia age = 28, subtract 4 from both sides
Olivia age -4 +4 + Olivia age = 28 - 4
2· Olivia age = 24 , divide both sides by 2
Olivia age = 24/2
Olivia age = 12 years old
→ From the first equation (1) we have:
Simone Age = Olivia age + 4 = 12 + 4 = 16 years old
Check our answer:
"Their combined ages is 28 "
12 + 16 = 28 ✅
Can y’all help me pls
Answer:
The change in expected height for every one additional centimeter of femur length.
Step-by-step explanation:
The slope represents how the value along the y axis is affected by the value along the x axis. So if x = femur length and y = expected height,
the slope is how the expected height is affected by the femur length.
A store can buy 8 cartons of milk for $24 or 7 cartons of milk for $28.
How much less does each carton of milk cost if the store buys 8 cartons instead of 7 cartons?
A.
$1 less
B.
$2 less
C.
$3 less
D.
$4 less
Answer:
A. $1 less
Step-by-step explanation:
24 divided by 8 (unit rate) = $3
28 divided by 7 = $4
4-3=1
Solve the equation x^2+6x= -11/4
Answer:
Step-by-step explanation:
First, move the -11/4 to the other side, so the expression can equal 0.
[tex]x^2+6x+11/4=0[/tex]
To make the equation easier to work with, multiply both sides by 4, cancelling out the fraction.
[tex]4x^2+24x+11=0[/tex]
There are many ways to solve a quadratic equation (factoring, quadratic formula, completing the square).
Solving this equation by factoring is the easiest. Factoring with a leading coefficient greater than one can be difficult and there are many ways to accomplish it. The way I'm going to do it is to first find the factors of [tex]4x^2[/tex] and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.
[tex]4x^2[/tex]: 24x 11:
2x 22x 11
2x 2x 1
24x (works)
I'll then take the factors diagonal. (2x+1)(2x+11)=0
So [tex]x=-\frac{1}{2}, -\frac{11}{2}[/tex]
PLEASE HURRY!! A camera has a listed price of $845.98 before tax. If the sales tax rate is 9.5%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
926.35
Step-by-step explanation:
first find 9.5% x $845.98
=$80.37
then add $845.98 to $80.37
= $926.35
Please verify my answer. Do this look correct to you? If not please explain
Answer:
y = e·x
Step-by-step explanation:
The equation of a line tangent to a curve at a point is conveniently written in the point-slope form. The slope is the derivative of the function at the point. For your function, the rules applicable to products and exponential functions apply.
__
y = (e^x)(x^2 -2x +2
y' = (e^x)(x^2 -2x +2) +(e^x)(2x -2) . . . . . (uv)' = u'v +uv', (e^x)' = e^x
y' = (e^x)x^2 . . . . . simplify
For x=1, the slope is ...
y' = (e^1)(1^2) = e
__
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -e = e(x -1) . . . . . . . line with slope 'e' through point (1, e)
y = e·x -e +e . . . . . add e
y = e·x . . . . . . . . . . equation of the tangent line
__
Additional comment
It is often the case that ex is written when e^x is intended. We are trying to avoid that ambiguity here by writing the equation with an explicit "times" symbol.
What is the area of the smaller rectangle?
Answer:
64 mm^2
Step-by-step explanation:
The area of the rectangles is calculated by multiplying width and length:
for the bigger rectangle:
12*48 = 576 mm^2
for the smaller rectangle:
4*16 = 64 mm^2
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
tanA=28/45
Tan(A) =Y/X or Opposite/ Hypotenuse
can someone explain to me how to get 338 root 2 as the answer
Answer:
13√2
Step-by-step explanation:
The square root of 338 is expressed as √338 in the radical form and as (338)½ or (338)0.5 in the exponent form. The square root of 338 rounded up to 5 decimal places is 18.38478. It is the positive solution of the equation x2 = 338. We can express the square root of 338 in its lowest radical form as 13 √2.
√338 = √13^2x2 = V13^2 x √2 = 13√2
13√2 = 13 x 239/169 = 239/13 = 18.385
Select the correct answer. Subject On-Time Assignment Submission On-Time Arrival to Class Physics 89.7% 82.3% Math 88.2% 88.7% Chemistry 89.4% 83.1% Biology 90.1% 82.4% Total 88.5% 84.7% The probabilities by subject of on-time assignment submission and on-time arrival to class are given in the table. What is the chance of on-time assignment submission if it is a chemistry assignment? OA. 82.3% OB. 88.5% OC. 89.4% OD. insufficient data
The chance of on-time assignment submission if it is a chemistry assignment is insufficient data.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The probabilities by subject of on-time assignment submission and on-time arrival to class.
Before we can estimate the likelihood of interest, we must first know how many assignments are assigned in each class.
In physics, there were 25.1% of the on-time assignments, assuming that each class had the same number of assignments.
Here, we have insufficient data to find the on time submission.
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what digit 7 sits in this number 714,583
Answer:
Hundred thousands place.
Answer:
In this case the number 7 would be located in the hundreds of thousands.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
I can buy a $1000 bond for $950. I get $50 / year and it matures in 20 years. What interest rate am I earning?
The interest rate you are earning on a bond that has a face value of $1000, a price of $950 and a coupon of $50 is 5.42%
What is the interest rate?The interest rate is the rate of return on the bond given its face value, coupon payments and price.
Interest rate can be determined using a financial calculator:
Cash flow in year 0 = -950 Cash flow in year 1 to 20 = 50 Cash flow in year 20 = 1000Interest rate = 5.42%
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A flowerbed has an area of 12 square meters. What is the largest possible perimeter of the flowerbed?
Answer:
5 feet long and 1 foot long and vise versa.
Step-by-step explanation:
Simplify the expression 1.8(x-4.2)+x
Solve this pls
Answer:
2.8x - 7.56
Step-by-step explanation:
1.8(x-4.2) + x
= 1.8x - 1.8(4.2) + x
= 2.8x - 7.56
hope this helps!
1 Jack and Diane want to meet for breakfast. Jack walks 1.5 mph and Diane walks 1 mph. They started 5 miles apart from each other. How long does it take them to meet up?
anwers : jack take 3.33 hours and diane would take 5 hours
2 How far apart were they after 1 hour?
Miguel eats a meal at a restaurant and leaves a 15 % tip for the server. The cost of the meal without the tip is p dollars. Which expressions represent the total cost, in dollars, of the meal and the tip? Select ALL that apply.
Answer:
B,D, and E
Step-by-step explanation:
it's 15% so it would have to be either as a fraction or decimal answer B is a fraction. And D and E are both decimals so you add your percent to your p which is something.
The expressions A, D, and E represent the total cost of the meal and the tip.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The cost of the meal plus the tip is equal to the cost of the meal plus 15% of the cost of the meal. It can represent this in several ways:
A. 1.15p
D. p + 0.15p
E. p + 1.15p
All of these expressions represent the total cost of the meal and the tip.
Option B, 100P/15, does not represent the total cost of the meal and the tip.
Option C, p + 15, represents the cost of the meal plus a flat fee of 15 dollars, not 15% of the cost of the meal, so it does not represent the total cost of the meal and the tip.
Therefore, the correct answers are A, D, and E.
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which are undefined? sec(-pi/2) csc(3pi) cot(7pi/2) csc(-3pi/2) cot(5pi/3)
Answer:
[tex]csc(3\pi ), sec(\frac{-\pi}{2})[/tex]
The Undefined term is csc(3pi) and sec(-pi/2) .
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
As, Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (pi) is 0, so the cosecant of pi must be undefined.
Thus, csc(3pi) is undefined
and, the value of The value of cos (pi/2) is 0, so the secant of (pi)/2 must be undefined.
Thus, sec(-pi/2) is also undefined.
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