A cube has sides that are all equal lengths .
Volume of a cube is S^3, where S is the length of the side.
Volume = 3^3 = 3 x 3 x 3 = 27 cubic inches.
The volume of box will be 27 inch³.
A square notepaper is stored in a cube shape box with an inside edge length of 3 inches.
We have to calculate the volume of the box.
What is the volume of a cube ?
The volume of a cube is the multiplication of the edge length (a) for three times i.e., a × a × a = a³ .
As per the question ,
Inside edge length of cube = 3 inches
So ,
the volume of box will be ;
= a × a × a
= 3 × 3 × 3
= 27 inch³
Thus , the volume of box will be 27 inch³.
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What is the value of |6x| - |- 2y| if x = - 3 and y= 5?
Answer:
8
Step-by-step explanation:
|6x| - |- 2y|
Let x = -3 and y = 5
|6*-3| - |- 2*5|
|-18| - |-10|
Taking the absolute values
18 - 10
8
One stool rocks slightly from side to side on your kitchen floor. Which of the two stools could this possibly be? Explain your answer Choices: 3 legged stool, 4 legged stool
Answer:
The four legged stool is the one that rocks slightly from side to side. The three legged stool does not.
Step-by-step explanation:
The four legged stool is the one that rocks slightly because the three legs determine a plane, and the three legs are stuck on that single plane.
An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far she throw her javelin in total
Answer: 19 yards
Step-by-step explanation: 9.5x2=19
Simplify the following expression -10x + 10x
Answer:
0
Step-by-step explanation:
the x after the 10 is literally just 1
so 10 x 1 =10
-10 + 10 = 0
Does anyone know how to find these measures. Pls it’s due in a few hrs
Answer:
17) 120°
18) 85°
Step-by-step explanation:
→ Find the sum of angles in each shape
Quadrilateral = 360°
Triangle = 180°
→ Add the angles together and subtract it from the sum
360 - ( 80 + 80 + 80 ) = 120° for number 17
180 - ( 35 + 60 ) = 85° for number 18
pleaseee answer this question quickly.. I will give brainliest MAKE SURE ITS RIGHT
Answer:
JKM is acute and MKL is obtuse
Step-by-step explanation:
because an acute triangle's interior angles are always 180° and an obtuse triangle's sum is greater than 90°
23. The measure of an angle is 46º. The measure of
the complement is
The measure of the
supplement is.
help if you can
Answer:
Complement = 44 degrees, supplement = 136 degrees
Step-by-step explanation:
Complement of an angle is the difference of the angle from 90 degrees.
Complement of 46 = 90-46 = 44 degrees.
Supplement of an angle is the difference of the angle from 180 degrees.
Supplement of 46 = 180-46 = 134 degrees.
Answer:
Complement = 44 degrees, supplement = 136 degrees
Step-by-step explanation:
Find the measure of the missing angle. A
Answer:
a = 38
Step-by-step explanation:
The two angles add to 90 degrees
a+52 = 90
a = 90-52
a = 38
Answer:
Below
Step-by-step explanation:
The little box on the angle indicates that it is 90 degrees
All you need to do now to find angle a is to subtract 52 from 90...
90 - 52 = 38 degrees
Hope this helped!
Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Multiple times the amount of a number expanded by 7 is equivalent to a similar number diminished by 15.
Let the number be 'x'.
The three times the number plus 7. Then the expression is given as,
⇒ 3x + 7
The number 'x' is decreased by 15. Then the expression is given as,
⇒ x - 15
Both expressions are equal to each other. Then we have
3x + 7 = x - 15
3x - x = - 15 - 7
2x = - 22
x = - 11
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
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If p-1 is a factor of p^4+p^2+p-k,the value of k is ?
[tex]1^4+1^2+1-k=0\\3-k=0\\k=3[/tex]
Answer:
k=3
Step-by-step explanation:
Hello, if p-1 is a factor of
[tex]f(p)=p^4+p^2+p-k[/tex]
it means that f(1)=0, so
1+1+1-k=0
3-k=0
k=3
thank you
HELP! WIll MARK BRAINLIEST! ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!)
Question 1:
Price per milliliter
Small $4.50 / 250ml
Medium $9.95 / 500 ml
Large $16.95 / 1000 ml
Question 2:
$9.95 / 500 ml > $4.50 / 250ml > $16.95 / 1000 ml
Question 3 - 4:
$4.50 / 250ml = ($4.50 * 6) / (250ml * 6 ) = $27 / 1500ml = 0.018
$9.95 / 500 ml = ($9.95 * 3) / (500 ml * 3) = $29.85 / 1500ml = 0.019
$16.95 / 1000 ml = ($16.95 * 3) / (1000 ml * 3) = $50.85 / 1500ml = 0.0339
( Use the first one for question 3 and the second for question 4)
$4.50 / 250ml would be the cheapest way to get 1500ml.
$9.95 / 500ml would be the most expensive way to get 1500ml.
I hope this helps you! Tell me if I'm wrong!
When solving (x + 35) = −7, what is the correct sequence of operations?
Answer:
x= -42
Step-by-step explanation:
put the liketerms together
x+35= -7
x=-35-7
note*the operation sign changes after crossing the equal sign
x= -42
20 POINTS!!! Use the quadratic formula above to solve for h(t) = -4.9t^2 + 8t + 1 where h is the height of the ball in meters and t is time in seconds. Round to the nearest hundredth second!
Answer:
Two solutions: -0.12 and 1.75.
Step-by-step explanation:
The quadratic formula is:
[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex]. Assuming that the x² term is a, the x term is b, and the constant is c, we can plug the values into the equation.
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {8^2 - 4\cdot-4.9\cdot1} }}{{2\cdot-4.9}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {64 + 19.6} }}{{-9.8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {83.6} }}{{-9.8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {9.14} }}{{-9.8}}} \end{array}[/tex]
[tex]\frac{-8 + 9.14}{-9.8} = -0.12[/tex]
[tex]\frac{-8-9.14}{-9.8} =1.75[/tex]
Hope this helped!
solve for x 16x - 5 = 18x -2
Answer:
x = -1.5
Step-by-step explanation:
16x - 5 = 18x -2
Subtract 16x from each side
16x-16x - 5 = 18x-16x -2
-5 = 2x-2
Add 2 to each side
-5+2 = 2x-2+2
-3 = 2x
Divide by 2
-3/2 = 2x/2
-3/2 =x
Answer:
-3/2
Step-by-step explanation:
To solve this problem, start by moving all of your x's on to one side, and all of your constants on to the other as such:
16x-5=18x-2
+2 +2
16x-3=18x
-16x -16x
-3=2x
-3/2 = x
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A power failure on the bridge of a Great Lakes freighter has resulted in the ship's navigator having to do her own calculations. She measures the angle between the ship's course and a lighthouse on shore as 32°. After the ship has travelled 1500 m, she measures the angle to be 72°. Determine if the ship was closer to or farther from the lighthouse at the second sighting, and by what distance. (4 marks)
It is impossible to measure the length of a particular swamp directly. Kendra put a stake in the ground and measured from the stake to opposite ends of the swamp, the results being 410 m and 805 m. She measured the angle between the distances to be 57°. What is the length of the swamp? (4 marks)
Answer:
1) The ship is closer
2) 675.73 m
Step-by-step explanation:
1) The given parameters are;
The initial angle between the ship's course and the lighthouse = 32°
The final angle between the ship's course and the lighthouse = 72°
The distance traveled by the sip between he two positions = 1500 m
Therefore we have a triangle formed between the distance covered by the ship and the two distances of the ship from the lighthouse, a and b
Where;
a = The initial distance fro the lighthouse
b = The final distance fro the lighthouse
The angles of the triangle are
32°, (180 - 72) = 108° and 180 - 32 - 108 = 40°
By sine rule we have;
1500/(sin(40)) = a/(sin(108)) = b/(sin(32)) =
Therefore, a = sin(108°) × 1500/(sin(40°)) = 2219.37 m
b = (sin(32°)) × 1500/(sin(40°)) = 1236.61 m
Therefore, a > b
The initial distance fro the lighthouse > The final distance fro the lighthouse, which shows that the ship is closer
2) By cosine rule we have
a² = b² + c² - 2× b×c×cos(A)
Where the given measurements by Kendra are;
410 m and 805 m with an included (in between) angle of 57°, we have;
Let b = 410 m, c = 805 m, and A = 57°, we have;
a² = 410^2 + 805^2 - 2× 410×805×cos(57 degrees) = 456608.77 m²
a = The length of the stream = 675.73 m.
Write and solve an equation to determine how many degrees the temperature T fell.
The temperature at 5 PM. is 20°F The temperature at 10 P.M. is -5°F
Equation?
Answer: First degree equation
Step-by-step explanation:
For each hour from 5pm , the temperature decreases 5F. So, let the variation of time t , the constant -5, and the final temperature, T:
T=5t-5 .: for 5pm , variation is 0,so T in F is -5.
Answer:
probably First degree equation
Step-by-step explanation:
A house was bought for $450 000 and 3 years later was valued at $540 000. Find: a. The new value as a percentage of the old value b. The increase in value over the three year period c. The increase in value as a percentage of the original value
Answer:
A) The percentage is given by (The new value)/(The old value)*100 = 120%
B) The increase in value is $90000
C) The increase as a percentage is (90000/450000)*100=20%
a. The new value is 120% of the old value.
b. The increase in value over the three-year period is $90 000.
c. The increase in value over the three-year period is 20% of the original value.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
a. To find the new value as a percentage of the old value, we can divide the new value by the old value and multiply by 100 to get a percentage:
New value as a percentage of old value = (New value / Old value) x 100%
= ($540 000 / $450 000) x 100%
= 120%
Therefore, the new value is 120% of the old value.
b. To find the increase in value over the three-year period, we can subtract the old value from the new value:
Increase in value = New value - Old value
= $540 000 - $450 000
= $90 000
Therefore, the increase in value over the three-year period is $90 000.
c. To find the increase in value as a percentage of the original value, we can divide the increase in value by the old value and multiply by 100 to get a percentage:
Increase in value as a percentage of original value = (Increase in value / Old value) x 100%
= ($90 000 / $450 000) x 100%
= 20%
Therefore, the increase in value over the three-year period is 20% of the original value.
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The product of 2 rational numbers is -16/9 . If one of the numbers is -4/3 find the other plz fast
Answer:
4/3
Step-by-step explanation:
let the other number be x.
-4/3 x=-16/9
x=-16/9×-3/4=4/3
3. Which word phrase can be used to represent the algebraic expression 4(21+ n)? (2 point) 4 plus the sumn of 21 and a number » O4 times the product of 21 and a number » ne the sum of 21 and a number x 4 less than the sum of 21 and a number : O4 timeſ the
Answer:
4 times the sum of 21 and a number
Step-by-step explanation:
4(21+ n)
The four is being multiplied by the sum of 21 and n
PLS HELP!!
what is the value of x?
log2(x+7) = 2
Answer: Choice A) -3
Work Shown:
[tex]\log_{2}(x+7) = 2\\\\x+7 = 2^2\\\\x+7 = 4\\\\x = 4-7\\\\x = -3\\\\[/tex]
Which leads us to choice A. In the second step, I used the rule that [tex]\log_b(y) = x[/tex] is equivalent to [tex]y = b^x[/tex]. For each equation, the b is the base. Note how logs undo exponents and vice versa.
Answer:
-3
Step-by-step explanation:
log2(x+7) = 2
Raise each side by base 2
2^log2(x+7) = 2^2
x+7 = 4
Subtract 7 from each side
x+7-7 = 4-7
x=-3
Please help me I promise I will mark brainliest, I need an answer asap!!!!!!!! please hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! f(x) = 3x + 9, g(x) = 5x^2 Find (f + g)(x). A). -5x^2 + 3x + 9 B). Quantity three x plus 9 divided by five x squared. C). 15x^3 + 45x D). 5x^2 + 3x + 9
Answer:
D
Step-by-step explanation:
(f+g)(x) = f(x) + g(x)
=3x + 9 + 5x²
=5x² + 3x + 9
31. Solve for w:
[tex] \frac{3w + 6}{28} = \frac{3}{4} [/tex]
HELP! answer if you can
Answer:
w = 5
Step-by-step explanation:
Hey there!
Cross multiply,
84 = 12w + 24
-24 to both sides
60 = 12w
Divide both sides by 12
w = 5
Hope this helps :)
Find the GFC of 20 and 16
Solve.
-7(2z + 4) = 21
Answer:
-7/2
Step-by-step explanation:
cuz thats right
Please help...25 points
Answer:
[tex]\huge\boxed{x = -\frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]f(x) = -12x+7[/tex]
Given that f(x) = 17
[tex]17 = -12x+7[/tex]
Subtracting 7 to both sides
[tex]17-7 = -12x[/tex]
10 = -12 x
Dividing both sides by 12
[tex]x = - \frac{10}{12}[/tex]
[tex]x = -\frac{5}{6}[/tex]
Answer:
-5/6 =x
Step-by-step explanation:
f(x) = -12x+7
We want to find x when f(x) = 17
17 = -12x+7
Subtract 7 from each side
17-7 = -12x +7-7
10 = -12x
Divide each side by 12
10/-12 = -12x/-12
-5/6 =x
what is the answer to 4.7 x 10^-8
Answer:
0.000000047
Step-by-step explanation:
If the order of two matrices are different, then the addition of matrices does not exists true or false
Answer:
true
Step-by-step explanation:
A matrix can only be added/subtracted with another matrix if the two matrices have the same dimensions
Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?
Answer:
The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.
Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.
Step-by-step explanation:
The error she made was that she was adding x and 2.75.
She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.
By using the correct equation: 8 (x - 2.75) = 78
=> 8x - 22 = 78
=> 8x = 78 + 22
=> 8x = 100
=> x = 100/8
=> x = 12.5
Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.
Hope this helps you.
Answer:
C
Step-by-step explanation: Nice
2x.tg60= 10+csc30 plis
Answer:
[tex]2\sqrt{3}[/tex]
Step-by-step explanation:
I'm assuming the angles are in degrees.
[tex]2x \tan(60\º)=10+\csc(30\º)[/tex]
[tex]$2x\cdot \sqrt{3}=10+\frac{1}{\sin(30\º)} $[/tex]
[tex]$2x\cdot \sqrt{3}=10+\frac{1}{\frac{1}{2} } $[/tex]
[tex]$2x\cdot \sqrt{3}=10+2} $[/tex]
[tex]$x=\frac{12}{2\sqrt{3}} $[/tex]
[tex]$x=\frac{6}{\sqrt{3}} =\frac{6\sqrt{3}} {3} }=2\sqrt{3} $[/tex]
4 less than the product of 6 and the number
Answer:
6x - 4
Step-by-step explanation:
4 less than 6 times x
6x - 4
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