A soccer ball with a diameter of 8.6 inches is shipped in a box that is a square prism and has a side length of 9.5 inches.How much volume is available to be filled with packing material the shipping company wants the box completely full? Round your answer to the nearest tenth.

1,190.2 in^3
774.2 in^3
1,805.6 in^3
5,115.8 in^3
524.5 in^3

Answer:

520

Step-by-step explanation:

65 blocks multiplied by 8 houses per block

Answer:

2.4

Step-by-step explanation:

The first decimal place is 3, the digit after that is 7 which is more or equal to 5. So add +1 to the 3, followed by zeros.

2.37 ⇒ 2.40

Answer:

1) x+12.7=-25.2 is given

2)x+12.7-12.7=-25.2-12.7 is the subtraction property of equality(subtracting on both sides)

3)x+0=-37.9(add. inverse/simplification since we're simplifying the equation)

x=-37.9(identity property of addition since x+0 is just x)

Hope this helps!

Answer:

The graph of the function f( (1/2)x ) will expand across x-axis

Step-by-step explanation:

We have been given the function:

f(x) = x⁴

If we substitute x = (1/2)x into the given equation, we get:

f((1/2)x) = ( (1/2)x )⁴

We can simplify the equation

f((1/2)x) = = (1/2)⁴ x⁴

f((1/2)x) = = (1/16) x⁴

Graph of both of the functions is shown below. We can clearly see that that the graph of the function f((1/2)x) = = (1/16) x⁴ expands horizontally on x-axis as compared to the graph of f(x) = x⁴

Answer:

A

Step-by-step explanation:

[tex]a_{1}=-16\\c.d. d=-7-(-16)=-7+16=9\\a_{n}=a_{n-1}+d\\a_{n}=a_{n-1}+9[/tex]

Answer:

a1=-16

an=an-1+9

Step-by-step explanation:

This is for clarification for the person above who probably made it confusing for some people

Remember, the letter doesnt matter, because everyones test is in a different order.

Answer:

the lines are perpendicular

Step-by-step explanation:

the first step to this question will be to find the slope intercept form of each of these lines. to do this we will first:

find the slope-

(-3,-1) and (1,-9)

y2-y1 / x2- x1

-9 - (-1)  / 1 - (-3)  (negative - negative = positive)

-8 / 4

therefore the slope is:

-2

we know that slope intercept form is y=mx+b

so.. y= -2x +______

I left the last part blank, because we only have the first half of the equation, now we will substitute the value of x and y into the equation from one of the coordinate points given above.

(-9) = -2(1) + _____

now we can simplify:

-9 = -2

this equation (-9 = -2) is not true, therefore we need to determine what we have to do to -2 to make it equal to -9.

-9 = -2 - 7 is true

therefore the answer is :

y= -2x-7

therefore the slope intercept form is y= -2x - 7

now that you know how to find the slope intercept form, you can find the other slope intercept form, and i'll provide the answer:

the slope intercept form you should find is

y= [tex]\frac{1}{2}[/tex]x + [tex]\frac{7}{2}[/tex]

now when we plot both of these lines we can see that:

the lines are perpendicular, meaning the lines pass through each other.

Answer:

the two lines are perpendicular to one another

Step-by-step explanation:

Find the slopes of the two lines and then compare them.

If the slopes are the same, the lines are parallel.

If the slopes are negative reciprocals, the lines are perpendicular.

If neither of these conditions hold, then the lines are neither parallel nor perpendicular.

(−3,−1) and (1,−9):  As we go from the first point to the second, x (the "run") increases by 4 and y (the "rise") decreases by 8.  Thus, the slope of the line through (−3,−1) and (1,−9) is m = rise / run = -8/4, or m = -2.

(1,4) and (5,6):  As we go from the first to the second, x increeases by 4 and y increases by 2.  Thus, the slope of the line through (1,4) and (5,6) is

m = rise / run = 2/4 = 1/2.

Because 1/2 is the negative reciprocal of -2, we know that the two lines are perpendicular to one another.

Answer:

260% of 420=1092

166 2/3%of 60= 100

Answer:

The percentage of  volumes that are within 3 standard deviation of the mean is 99.73%.

Step-by-step explanation:

We want to calculate the area under the curve within 3 standard deviations from the mean.

If we use the standard normal distribution, this probability can be calculated as the diference between P(z<3) and P(z<-3).

[tex]P(-3<X<3)=P(z<3)-P(z<-3)\\\\P(-3<X<3)=0.9987-0.0013=0.9973[/tex]

The area under the curve for the standard distribution and for any normal distribution within 3 standard deviation from the mean is 0.9973.

The percentage of  volumes that are within 3 standard deviation of the mean is 99.73%.

Answer:

41°

Step-by-step explanation:

Looking at the attached diagram

A central angle of a circle is always congruent to its intercepted arc.

Therefore, m arc BC = m∠BZC

Again, m∠BAC is one-half m arc BC, as the measure of an inscribed angle is half the measure of its intercepted arc.

This gives us the following results:

= m∠BZC = 82°

= m arc BC = m∠BZC

= m arc BC = 82°

= m∠BAC = 1/2 × 82°

= m∠BAC = 41°

Note that:

∠DCA ≅ ∠BAC because alternate interior angles are congruent.

So m∠DCA = m∠BAC.

Hence, m∠DCA = 41°.

Answer:

C.

Step-by-step explanation:

add up all of the angles correct ft im not sure but i think its C.

Answer: The number one occurs 300 times while writing the numbers from 1 to 999.

Step-by-step explanation:

Answer: 0, −5, 4

Step-by-step explanation:

The given function is

[tex]f(x)=x^3+x^2-20x[/tex]

One of the zero of the given polynomial function is x=0.

To find other zeroes put f(x)=0

[tex]x^3 + x^2 - 20x=0\\\\\Rightarrow\ x(x^2+x-20)=0\ \ \ [\text{Taking x as common}][/tex]

That is

[tex]x^2+x-20=0[/tex] or [tex]x=0[/tex]

if [tex]x^2+x-20=0[/tex]

then [tex]x^2+5x-4x-20=0\ \ \ [\text{By using middle term splitting method}][/tex]

[tex]\Rightarrow\ x(x+5)-4(x+5)=0\\\\\Rightarrow\ (x+5)(x-4)=0\\\\\Rightarrow\ x=-5, 4[/tex]

So, the zeroes of f(x) are 0, −5, 4 .

Hence, the correct option is 0, −5, 4.

Answer:

=434.86

Step-by-step explanation:

The radius = 4.7cm

this means that using the equation that is given (V=4/

3πr^3)

add the radius where it says r

it also says you are allowed to use a calculator so put the equation into your calculator to give you the answer.

i hope this helped :)

Answer:

volume of sphere is 4 thirds pie r squared. Google it!

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Basic Proportionality Theorem: Basic Proportionality Theorem states that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".

Hence, KN/MN=KO/OL.......by bpt

i.e.= 3/9=2/OL

18/3=OL

6feet =OL

answer is b)6feet

pls mark brainliest if it helps

Answer:

Question 8 should be 25.6 hours

Step-by-step explanation:

Since time = distance/speed.

We just replace the words with the appropriate numbers.

time =

[tex] \frac{ 3.84 \times {10}^{5} }{1.5 \times {10}^{4} } [/tex]

which equals 25.6

Answer:

3 1/2 (in fraction form but 11.2... something) hope this helps

Step-by-step explanation:

Answer:

300 degrees

Step-by-step explanation:

we know that [tex]\pi = 360 degrees[/tex][tex]\pi = 360 \ degrees[/tex]

we have to find value of [tex]5\pi /6[/tex]

for that we have to multiply 5/6 to [tex]\pi[/tex] and 360 degrees

[tex]\pi = 360 \ degrees\\5\pi /6 = 5/6 *360 = 300[/tex]

Thus,  [tex]5\pi /6[/tex] = 300 degrees.

Answer:

150

Step-by-step explanation:

Answer:

[tex](x+10)^2-186[/tex]

Step-by-step explanation:

Answer:

x = 135

Step-by-step explanation:

Use the right triangle altitude theorem and similar triangles.

x/81 = 225/x

x^2 = 81 * 225

x = 9 * 15

x = 135

Answer:

135

Step-by-step explanation:

Answer:

The answer is A.)  A=1/2(Pa)

Step-by-step explanation:

The area of a regular polygon with perimeter 'P' and apothem length 'a' is [tex]\frac{1}{2}Pa[/tex]    .

A polygon is a two-dimensional geometrical figure that has 'n' number of equal sides.

Given, the perimeter of the regular polygon is 'P'.

Apothem length of the polygon is 'a'.

Therefore, the area of a regular polygon is

[tex]= \frac{1}{2}Pa[/tex]

Learn more about a regular polygon here: https://brainly.com/question/4442699

#SPJ2

Answer:

2764.8cm³

Step-by-step explanation:

Looking at the diagram, the barn is a combination of 2 geometric shapes, a cuboid and Triangular prism

Step 1

Find the volume of the cuboid

Volume of the cuboid = Length × Width × Height

Length = 10cm

Width = 20.4cm

Height = 11.2cm

Volume = 10cm × 20.4cm × 11.2cm

Volume = 2284.8cm³

Step 2

Volume of Triangular prism = 1/2 × base × height × length

= 1/2 × 8 × 12 × 10

= 480cm³

Total volume = 2284.8cm³ + 480cm³

= 2764.8cm³

Answer: Ok for the second one because I don't really get the wording in the first one (thats cuz i SUCK at vocabulary) the answer is 756,100 and a number greater is any number from 756,073-756,149

Step-by-step explanation:

ok so 756072 rounds to 756100 because 72 is closer to 100 than it is to 0

from 50 on, you would round up so to round up to 756100 the smallest possible number is 756050 since the 50 will round up

the highest number is 756149 because from 50 onwards it will round to 756200 instead.

so you can choose any number from 756050-756149

Answer:

So your answer is  d = -1/4 = -0.250

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*d-11/2-(2*d-13/2)=0

           13

Simplify   ——

           2

        11            13

 (6d -  ——) -  (2d -  ——)  = 0

        2             2

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          2d     2d • 2

    2d =  ——  =  ——————

          1        2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2d • 2 - (13)     4d - 13

—————————————  =  ———————

      2              2  

        11     (4d - 13)

 (6d -  ——) -  —————————  = 0

        2          2    

           11

Simplify   ——

           2

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          6d     6d • 2

    6d =  ——  =  ——————

          1        2  

4.2       Adding up the two equivalent fractions

6d • 2 - (11)     12d - 11

—————————————  =  ————————

      2              2    

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(12d-11) - ((4d-13))     8d + 2

————————————————————  =  ——————

         2                 2  

6.1     Pull out like factors :

  8d + 2  =   2 • (4d + 1)

 4d + 1  = 0

 4d + 1  = 0

7.1      Solve  :    4d+1 = 0

Subtract  1  from both sides of the equation :

                     4d = -1

Divide both sides of the equation by 4:

                    d = -1/4 = -0.250

Answer:

d = -1/4 = -0.250

Step-by-step explanation:

Answer:   £ 81.38

Step-by-step explanation:

Given: On Monday,

5 builders took [tex]3\dfrac{1}{2}[/tex] hours  ( i.e. [tex]\dfrac{7}{2}[/tex] hours )  to build a wall.

On Tuesday, only 2 builders were available.

As workers are inversely proportional to the time if the job remains constant.

Inverse variation equation : [tex]x_1y_1=x_2y_2[/tex]

Let x be the time taken by 2 builders, then

[tex]2\times x =5\times \dfrac{7}{2}[/tex]

[tex]\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75[/tex]

So, 2 builders will take 8.75 hours.

Each paid  £9.30 for each hour.

Then, each builder will be paid for the work completed on Tuesday = £9.30 x  8.75

≈ £ 81.38

Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .

Answer:

double: 1%

year6%

6 year: 36%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3 is the degree of polynomial [tex]f(x) = -2x^3-x^2+5x-3[/tex]

=> Degree of the polynomial is the highest power/exponent contained by the variable in the expression.

Answer:

The degree of the polynomial would be 3, since 3 is the largest exponent

Step-by-step explanation:

Answer:

12

Step-by-step explanation: