The amount of cubic feet in the box = volume = 2.25 cubic feet.
What is the Volume of a Box?Volume of a box is the amount of cubic feet in the box which is calculated as: V = (length)(width)(height).
Given the following:
Length = 36 inchesWidth = 18 inchesHeight = 6 inchesVolume = (36)(18)(6)
Volume = 3,888 cubic inches.
Convert to 3,888 cu. in. to cu. ft. [1 cu. ft. = 1728 cu. in.]
3,888/1728 = 2.25 cubic feet.
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Answer:
Step-by-step explanation:
2.25
Evaluate 9x^2y^−2 for x = –3 and y = 2.
a)9(−6)^0
b)1/144
c)20 1/4
d)324
Answer:
c)20 1/4
Step-by-step explanation:
[tex]9x^{2}y^{-2}[/tex]
If We replace x by -3 and y by 2 we get :
[tex]9\left( -3\right)^{2} \left( 2\right)^{-2}[/tex]
Or we have :
[tex]\left( -3\right)^{2} =9\ \text{and} \ \left( 2\right)^{-2} =\frac{1}{2^{2}} =\frac{1}{4}[/tex]
then
[tex]9\left( -3\right)^{2} \left( 2\right)^{-2}=9\times9\times\frac{1}{4} = \frac{81}{4}[/tex]
on the other hand :
[tex]\frac{81}{4} =\frac{80+1}{4} =\frac{80}{4} +\frac{1}{4} =20+\frac{1}{4}=20\frac{1}{4}[/tex]
3×+4y÷2 for x=7 and y=10
PLEASE HELPPP
Answer:
41
Step-by-step explanation:
(3*7)+(4*10)/2
(21)+(40)/2
Bidmas means you do 40/2 first
21+20=41
A bicycle store costs $2700 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $70. How many bicycles must the store sell each month to
The store must set bicycles each month to break even
Given the endpoints of a segment, find the length of each segment.
A (-3, 7) and B (-5, 2)
Step-by-step explanation:
Using the distance formula
√(x1-x2)²+(y1-y2)²
√(-3+5)²+(7-2)²
√(2)²+(5)²
√4+25
√29 units
MARK ME AS BRAINLISTThe volume of a spherical balloon with radius 2.8 cm is about 92 cm^3. Estimate the volume of a similar balloon with radius 8.4 cm.
Step-by-step explanation:
it means the shape of the balloon is close to a sphere.
the volume of a sphere is
4×pi×r³
so, it bases on r³.
that means any scaling factor f between 2 similar balloons for the radius has to be multiplied in 3 times (once for every "r").
in our case we know
8.4 = 2.8 × f
f = 8.4 / 2.8 = 3
so,
large volume = small volume × f×f×f =
= small volume × f³ = 92×3³ = 92×27 =
= 2,484 cm³
anyone know the answer?
Answer:
31.53 cm[tex] \: [/tex]
Step-by-step explanation:
It is given that, The circumference of a circle is 198 cm and we are to find the radius of the circle.
[tex] \: [/tex]
To find the radius of the circle we must know this formula first :
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: 2 \pi r \: =Circumference_{(circle)}}}}}}} \: \: \bigstar \\ \\ [/tex]
Now substituting the values in the formula :
[tex]\\{ \longrightarrow \qquad{ {{ \tt{ \: 2 \times 3.14 \times r \: =198}}}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ {{ \tt{ \: 6.28 \times r \: =198}}}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ {{ \tt{ r \: = \frac{198}{6.28} }}}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb {{ \frak{ r \: = 31.528 }}}}} \\ \\ [/tex]
Therefore,
The radius of the circle is 31.53 cm (Rounded to nearest hundredth)Which of the following statements about closure is false?
Polynomials are closed under addition. When you add polynomials, the result will always be a polynomial.
Polynomials are closed under subtraction. When you subtract polynomials, the result will always be a polynomial.
Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
Polynomials are closed under multiplication. When you multiply polynomials, the result will always be a polynomial.
Using the concept of closure, it is found that the false statement is given by:
Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
What is the closure of a polynomial?A polynomial is said to be closed under an operation if the operation always results in a polynomial. It holds true for the addition, subtraction and multiplication operations.
As for the division, if the degree of the numerator is lower than the degree of the denominator, the result of the division will have a negative exponent, which is not a polynomial, hence the division operation is not closed.
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Can somebody help me with my homework, I don’t get it, and I don’t know if I am correct
On Saturday, the school band marched from the school to the stadium. After the game, the band marched back to the school. How many blocks did the band match on Saturday?
Catelyn lives halfway between the park and the school. How far does she live from each?
Answer:
first one is correct second one is 6 and third one is 2 and a half
Answer:
If one counts the blocks on the graph from the school to the stadium and back, there are three blocks one way and three blocks going back.
Altogether 6 blocks.
If Catelyn lives halfway between the park and the school, the amount of blocks is 5.
She lives halfway between. Hence, what is 5 divided by 2?
2.5 or 2 1/2 blocks.
Step-by-step explanation:
Sylvia applies two transformations to WXYZ shown below on the coordinate grid. She applies a reflection across the y-axis and then a rotation of 180° counterclockwise about the origin.
What are the coordinates of the final vertices of the two transformations?
coordinates: ________________________
The coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)
How to determine the final vertices?The coordinates of the polygon WXYZ are:
W = (-4,-1)
X = (-2,-1)
Y = (-2,-4)
Z = (-3,-2)
When reflected across the y-axis, the rule of transformation is:
(x,y) -> (-x,y)
So, we have:
W' = (4,-1)
X' = (2,-1)
Y' = (2,-4)
Z' = (3,-2)
When rotated by 180 degrees, the rule of transformation is:
(x,y) -> (-x,-y)
So, we have:
W" = (-4,1)
X" = (-2,1)
Y" = (-2,4)
Z" = (-3,2)
Hence, the coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)
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ohn drove from Miami to Atlanta, and the trip took him a total of 10 hours.
For 6 hours John’s average speed was 73 mph. His average speed on the remainder of the
trip was 67 mph. What was his average speed on the entire trip?
a) 70.8 mph
b) 70.6 mph
c) 69.4 mph
d) 68.2 mph
Answer:
b) 70.6
Step-by-step explanation:
To calculate average you need to add up all the numbers and divide by the quantity of numbers. They are calculating with mph, with ten hours, so there will be ten numbers. First you do 73 x 6 (6 because of 6 hours of 73 mph) which is 438. Then you do 67 x 4 which is 268. you add it up, then find a total of 706. Then you divide it by ten to find the answer 70.6
The formula below is used to convert a temperature in degrees Fahrenheit, F, to a
temperature in degrees Celsius, C.
c=2 / IF
(F-32)
-
What is the temperature, in degrees Celsius, that is equivalent to a temperature of 40°F?
B
А 14-с
B 95C
C 4400
D 222
С
Answer:
C.4400
Step-by-step explanation:
The formula to convert Fahrenheit to Celsius (or Vice Versa) is,
F
=
(
9
C
5
)
+
32
Here C is the Temperature in Celsius Degrees and F is temperature in Fahrenheit Degrees.
Time for substitution
( 9C)
40 = ______ +32
5
I have put 40 instead of F because the value I have in hand is temperature in Farhenheit.
=> (40 -32) 5
________ = C
9
Then take all the constant term to one side and keep the variable on other side.
C = 4.4444444
C = 4400
Anticipated consumer demand in a restaurant or free-range steaks next month can be modeled by a normal random variable with mean 1100 pounds and standard deviation 80 pounds. The probability is 0.015 that demand will be more than how many pounds?
1273.6
1250.53
926.4
946.8
Please guys can you help me in this please if you don’t know please don’t send for link or something for that
Fill in the blanks as necessary.
(a) Kaitlin is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Number in group
2
3
7
Cost (in dollars)
10
15
28
The cost for each person is not always the same.
The cost for each person appears to be the same.
Predicted number in group for a cost of $40:
Answer:
The cost for each person is not always the same.10 peopleStep-by-step explanation:
Number : 2 Cost : $10
Per person = 10/2 = $5Number : 3 Cost : $15
Per person = 15/3 = $5Number : 7 Cost : $28
Per person = 28/7 = $4⇒ The cost is not always the same per person.
⇒ Predicted number in a group for cost of $40 :
⇒ Since 7 costs $28 and if we use 8, it will be $5 per head but the price difference will be too large
⇒ 10 people is more reasonable at a rate of $4 per person
Jonas started reading books to
kindergarten students at 3:20 P.M.
He finished reading at 4:30 P.M. How
long did he spend reading to the
kindergarten students?
A 60 minutes
B 70 minutes
C 80 minutes
D 90 minutes
tell whether the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function
Since the resulting function has a leading degree of 1, hence the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function
How to find a linear function?The standard equation of a linear function is y = mx + b
where:
m is the slopee
b is the y-intercept
Using the coordinate point (1, 6) and (2, 9)
Find the slope
Slope = 9-6/2-1
Slope = 3/1
Slope = 3
For the y-intercept
Recall that y = mx + b
9 = 3(2) + b
b = 3
Determine the equation
y = 3x + 3
Since the resulting function has a leading degree of 1, hence the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function.
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could yall help me on this pls!!
Answer:
Step-by-step explanation:
Remark
Make a very crude diagram of what these points look like. You will find that
(-8,6) is above (-8,3) (-3,6) is above (-3,3)That gives you a hint about how to find the Length and width.
Givens
From (-8,-3) and (-3, 3) L = -8 - -3 = - 5
From (-8,6) and (-8,3) w = 6 - 3 = 3
Solution
The length cannot be minus 5. The way to get around that is to call it and absolute value of (-5) which is 5
So the area = L*W
area = 5 *3
area = 15
Answer
Area = 15
Math 10 CP1 CR
What are the solutions to the equation 3(x – 4)(x + 5) = 0?
O x = -4 or x = 5
O x = 3, x = 4, or x = -5
O x = 3, x=-4, or x = 5
O x = 4 or x = -5
The solutions of the given equation are x = 4 or x = -5.
What is solution of an equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations.
Given is an equation, 3(x – 4)(x + 5) = 0 we need to find the solution of the equation,
So, we can see that the equation is a quadratic equation, so it will have two solutions,
The equation is already in factored form,
So,
3(x – 4)(x + 5) = 0
Solution,
x-4 = 0
x = 4
x+5 = 0
x = -5
Hence, the solutions of the given equation are x = 4 or x = -5.
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given that (4,-8) is on the graph of f(x), find the corresponding point for the function. f(x+3)
Answer:
i believe it's (1,-8)
Step-by-step explanation:
you subtract the "+3," since it's really the opposite, from 4 to get 1. The -8 stays the same since the transformation doesn't affect the y's.
The difference 11/14 - 2/10
Answer:
11/14-2/10=41/70=0.58
I will give you 50 points and brainliest if you can answer this question
Use the equation 124⋅15=1,860 and what you know about fractions, decimals, and place value to determine where to place the decimal point when you compute (1.24)⋅(0.15).
1. Select the correct decimal location below.
2. Explain how you know
Answer:
The decimal stays in the same place and the answer is 0.186
Step-by-step explanation:
If f ( x ) is a linear function, f ( − 5 ) = − 4 , and f ( 1 ) = − 1 , find an equation for f ( x )
equivalent expression for 6(a+b)
Answer:
6a + 6b
Step-by-step explanation:
Use Distributive property: a( b +c) =(a *b) +(a*c)
6(a + b) = 6*a + 6*b
= 6a+ 6b
What is the right one
Answer:
Lower Left!!
Step-by-step explanation:
Because Gina doesn't have the total price, that makes it the unknown or "?" answer, with the price before tax obviously $300.00, and the tax being 8%. Therefore, it's the lower left option.
Can somebody help me round 376.77 to the nearest whole. With steps (guidance)
It would totally help me with the state exam tomorrow!
Answer:
To round 376.77 to the nearest dollar consider the tenths’ value of 376.77, which is 7 and equal or more than 5. Therefore, we have to round the amount up: the dollar part of 376.77, 376, increases by 1 to 377, and the decimal point and all digits (.77) are removed.
Step-by-step explanation:
I'm stuck on this one! Please help
Answer:
The answer is 12
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
Option B will be the best option.
Find the area of the rectangle with length 27 inches and width 40 inches. (1 point)
67 in. 2
134 in. 2
1,080 in. 2
10,800 in. 2
Answer:
1,080 square inches
Step-by-step explanation:
27 inches * 40 inches = 1,080 square inches
if i had 10 apples how many apples do i have?
Answer:
10 apples
Step-by-step explanation:
a trader buys 200 oranges for 60 kobo and sells them at 8 for 12 kobo.what is his gain
Answer:
he gained 188 kobo for selling 200 oranges or 192 if the trader selled the oranges for 8 kobo
Step-by-step explanation:
I need help on number 9
Answer:
3. -1/3 ± 2i√5 / 3
Step-by-step explanation:
3x^2 + 2x = -7
Divide through by 3:
x^2 + 2/3 x = -7/3
Completing the square:
x^2 + 2/3 x + (1/3)^2 = -7/3 + (1/3)^2
(x + 1/3)^2 = -7/3 + 1/9
(x + 1/3)^2 = -20/9
x + 1/3 = ±√(-20) / 3
x + 1/3 = ± 2√-5/3
x = -1/3 ± 2i√5 / 3
Can someone help me answer this question?