Find the total radius of a cone with a radius of 4in and a height of 12in

Answer: The total volume of concrete that Jimmy will need to create the 4 spheres is 38.25 cubic feet, rounded to the nearest whole number.

Step-by-step explanation:

To find the total volume of concrete needed for the 4 spheres, we need to find the volume of each sphere individually and then add them up. The formula for the volume of a sphere is (4/3)πr^3, where r is the radius of the sphere.

First, we need to find the radius of the largest sphere, which is 4 feet in diameter. The radius is half the diameter, so it is 2 feet.

The radius of the next sphere is half of the radius of the first sphere, which is 1 foot.

The radius of the next sphere is half of the radius of the second sphere, which is 0.5 feet.

The radius of the last sphere is half of the radius of the third sphere, which is 0.25 feet.

We can now use the formula to find the volume of each sphere and then add them up.

The volume of the first sphere = (4/3)π(2^3) = (4/3)π(8) = 33.49 cubic feet

The volume of the second sphere = (4/3)π(1^3) = (4/3)π(1) = 4.19 cubic feet

The volume of the third sphere = (4/3)π(0.5^3) = (4/3)π(0.125) = 0.52 cubic feet

The volume of the last sphere = (4/3)π(0.25^3) = (4/3)π(0.015625) = 0.05 cubic feet

Total volume of all spheres = 33.49 + 4.19 + 0.52 + 0.05 = 38.25 cubic feet

The total volume of concrete that Jimmy will need to create the 4 spheres is 38.25 cubic feet, rounded to the nearest whole number.

The answer of the given question based on the Matrix is , A must have 7 rows and 5 columns to define a mapping from R5 into R7 by the rule T(x) = Ax.

In order to define a mapping from R5 into R7 by the rule T(x) = Ax,

the matrix A must have 7 rows and 5 columns (7 × 5).

Explanation:

To understand this, we can start by looking at the equation:

T(x) = Ax

where T is a transformation that maps vectors from R5 to R7.

This means that for every vector x in R5, the transformation T will produce a vector in R7.

The matrix A specifies how this transformation is performed, and it must be such that the product Ax is defined.

In order to multiply a matrix A by a vector x, the number of columns in A must be equal to the number of entries in x.

So if x has 5 entries, A must have 5 columns.

The result of this multiplication will be a vector with as many entries as there are rows in A.

So if A has 7 rows, the product Ax will have 7 entries, which is what we want since T maps vectors from R5 to R7.

Therefore, A must have 7 rows and 5 columns to define a mapping from R5 into R7 by the rule T(x) = Ax.

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Answer: $8 for 4 cans of soup!

Step-by-step explanation:

We know that a box is $4.50 each, but Lenore had a coupon off 50 cents each, so the price of the box is $4

Lenore bought 2 box

4 times 2 = $8

16 - 8 =8

So the 4 cans of soup cost is $8 or $2 each can of soup

Answer:

4

x

+

10

y

=

10

Explanation:

Standard linear form is

XXX

A

x

+

B

y

=

C

with

A

,

B

,

C

∈

Z

and

A

≥

0

Given

XXX

y

=

−

2

5

x

+

1

10

Multiply both sides by

10

XXX

10

y

=

−

4

x

+

1

Add

4

x

to both sides

XXX

4

x

+

10

y

=

1

Step-by-step explanation:

Answer:

3 blue 9 orange

Step-by-step explanation:

The third option.

The minimum value of the function C = x - 2y at the vertex point (1,0) is 1.

So, when we substitute x = 1 and y = 0 into the function, we get:

C = 1 - 2 * 0 = 1.

Therefore, the minimum value of the function is 1.

Solution:

Given the expression below

Using the GCF factor, the expression becomes

Hence, the answer is 4(m - 5)

Answer:

x = 7

Step-by-step explanation:

Midpoint:

x = (x1 + x2)/2 = (9 + 5)/2 = 14/2 = 7

y = (y1 + y2)/2 = (3 - 1)/2 = 2/2 = 1

If the line parallel to x = 3 so it should intersect x at 7

so x = 7

Answer:

y=-2x+b

Step-by-step explanation:

The slope ("m") is 2... rise over run, the line goes up two, and then to the side once, which is 2/1 (aka 2). Since the line is going downhill, it is negative.

Answer:

Step-by-step explanation:

The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe

is 5.75 inches

Determine the volume of metal used to build the pipe.

Given:

A bag has 2 blue, 3 red, and 5 yellow tiles.

To find:

The probability of picking a blue tile.

Solution:

We have,

Number of blue tiles = 2

Number of red tiles = 3

Number of yellow tiles = 5

Total number of tiles = \(2+3+5\)

                                   = \(10\)

Now, the probability of picking a blue tile is

\(P(\text{Blue})=\dfrac{\text{Number of blue tiles}}{\text{Total number of tiles}}\)

\(P(\text{Blue})=\dfrac{2}{10}\)

\(P(\text{Blue})=0.2\)

Therefore, the probability of picking a blue tile is 0.2.

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

CenterWare's direct labor rate variance is $2,100 unfavorable, indicating that the actual rate paid for labor was higher than the standard rate. The direct labor efficiency variance is $2,500 favorable, suggesting that the company achieved higher productivity than expected. The total variance for direct labor is $400 favorable.

To compute the direct labor rate variance, we need to calculate the difference between the actual rate and the standard rate, and then multiply it by the actual hours worked. The formula for the rate variance is (Actual Rate - Standard Rate) × Actual Hours. In this case, the standard rate is $21.00 per hour, and the actual rate is $18.00 per hour. The actual hours worked are 2,500 DLH. Plugging in these values, we find the direct labor rate variance to be ($18.00 - $21.00) × 2,500 = -$7,500, indicating an unfavourable variance.

To calculate the direct labor efficiency variance, we need to find the difference between the actual hours worked and the standard hours allowed, and then multiply it by the standard rate. The formula for the efficiency variance is (Actual Hours - Standard Hours) × Standard Rate. The standard hours allowed are 2,000 DLH (1,000 pots × 2.0 hours per pot). Substituting the values, we get (2,500 - 2,000) × $21.00 = $10,500, indicating a favorable variance.

The total variance for direct labor is the sum of the rate variance and the efficiency variance. In this case, the total variance is -$7,500 + $10,500 = $3,000, which is favorable, indicating that the company performed better than expected in terms of labor cost and efficiency.

The responsibility for the rate variance generally lies with the purchasing department, as they are responsible for negotiating labor rates and purchasing materials at the standard price. The efficiency variance is typically the responsibility of the production department, as they are accountable for achieving the standard labor hours and maximizing productivity.

The rate variance reflects the difference between the actual rate paid for labor and the standard rate. An unfavorable rate variance suggests that the company paid more for labor than anticipated, which could be due to factors like higher wages or inefficient labor management. Conversely, a favorable rate variance would indicate cost savings in labor.

The efficiency variance measures the productivity of labor and represents the difference between the actual hours worked and the standard hours allowed. A favorable efficiency variance implies that the company achieved higher productivity or used fewer labor hours than expected. It could result from factors such as skilled and efficient labor, improved production processes, or effective workforce management.

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Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

Answer:

she needs to sell 243 of them

Step-by-step explanation:

hope this helps

Answer:

the circumference is 31.4

Step-by-step explanation:

The computation of the circumference is shown below:

As we know that

Circumference is

= 2πr

= 2π (10 ÷ 2)

= 2× 3.14 × 5

= 31.4

Hence, the circumference is 31.4

Answer:

His total sales is equal to $1,312.

Step-by-step explanation:

To find his commission cost you have to multiply 6 1/2% by 4,800. So your equation would look like 4800×.065[You have to convert your percentage to decimal form]. Your answer would be 312. You then add it to your salary to get a total of $1,312.

Hope this helps!

The independent variable in this study is the temperature of the water in each tank. The independent variable is the factor that is intentionally manipulated or changed by the researcher in order to observe its effect on the dependent variable. In this case, the researcher is testing the effects of habitat space on the size of fish populations, and they are manipulating the temperature of the water to see how it impacts the survival of the goldfish.

The researcher sets up four aquariums of the same size with six goldfish in each one. The independent variable, temperature, is kept different in each tank. This means that each tank is maintained at a different temperature throughout the experiment.

By manipulating the temperature in each tank, the researcher can observe how the different temperature conditions affect the survival of the goldfish. This allows them to determine whether the size of the fish populations is influenced by habitat space, as measured by the temperature of the water.

To summarize, in this study, the independent variable is the temperature of the water in each tank. The researcher is manipulating the temperature to observe its effect on the survival of the goldfish and determine the impact of habitat space on fish populations.

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Answer:

y = 2x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A (1, 7 ) and (x₂, y₂ ) = B (- 3, - 1 )

m = \(\frac{-1-7}{-3-1}\) = \(\frac{-8}{-4}\) = 2 , then

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 7 )

7 = 2(1) + c = 2 + c ( subtract 2 from both sides )

5 = c

y = 2x + 5 ← equation of line

Answer: Your answer would be $168,750

First you need to get 5% of 75,000 which is 3750

Next you have to mutiply 3750 by 25 because 1980 to 2005 is 25 years.

Which will give you 93,750

Then you add 93,750 with 75000 which is what it got sold for and your answer will be $168,750

Step-by-step explanation:

THE ANGLES WHICH HAVE SUM OF THEIR ANGLES = 90°

Let the measure of angle be x°.

◕ It's compliment = (90 - x )°.

According to the question ;

⇢x=(90°−x)−18°

⇢x + x = 90° − 18°

⇢2x=72°

⇢x= 72°/2

⇢x=36°

And, it's compliment = 54°

The simplified expression is 8

To find the simplified form of the mentioned expression, we will first simplify the value in bracket. Then, multiply the powers to solve it.

As per the known fact, 4² and 2⁴ result to give the number 16.

Expression = (2⁴)³/₄

Now, again as per the known fact, the exponents can be multiplied.

Exponents = 4×(3/4)

Cancelling 4 as it is common in both numerator and denominator

Exponents = 3

Putting the resultant exponent back to the expression -

Expression = 2³

Taking cube -

Expression = 2×2×2

Performing multiplication

Expression = 8

Hence, the simplified form of expression is 8

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Direct labor efficiency variance = $6,100 F.

Given that

Standard labor-hours per unit of output     8.5 hours

Standard labor rate                                     $12.30 per hour

Standard labor hours allowed                          6,800 hours (800 units *                                         8.5 hours allowed)

The following data pertain to operations concerning the product for the last month:

Actual hours worked  6,300 hours

Actual total labor cost  $74,970

Actual output                  800 units

We can determine the labor efficiency variance using the following equation:

1. Direct labor efficiency variance = (Standard hours allowed - Actual labor hours) * Standard rate

2. Direct labor efficiency variance = (6,800 hours - 6,300 hours) * $12.20

3. Direct labor efficiency variance = $6,100 F

The variance is favorable as the actual labor hours used are less than the standard hours allowed.

Hence the answer is Direct labor efficiency variance = $6,100 F.

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Answer:

1. To find the volume of a cylinder you'll need to use the formula V = pi(r)^2(h)

V = pi(4)^2(6)

V = 301.59

Rounded* = 301.6

2. A beach ball is a sphere, so we're going to use the formula 4/3pi(r)^3

4/3pi(18)^3

D =  24429.02

Rounded* = 24429.0

I cant read the last one completely, hope this helps.

Answer:

x=45

Step-by-step explanation:

I can give you two solutions

First solution:

In \(\triangle FBA\) we know that

\(\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x\)

same case for \(\angle EBC\) in \(\triangle ECB\)

so we have that

\(\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x\)

we leave it like that because it's convenient

Now by properties of parallelograms we know that opposite sides add up to 180

\(\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45\)

so one angle is 45  and the other one is 135

Solution 2

if we look at DEBF we can say that it's a cyclic quadrilateral

because opposite sides add up to 180

in our case

\(\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\\)

so for the other to angles is also true

\(\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135\)

so that's the measure of one angle of the parallelogram

the other angle x is

\(\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45\)

There you go choose yourself

The quadratic function y = -7x² represents the trajectory of one of the water balloons. Since it is a quadratic function, it forms a parabola. The coefficient of x², -7, determines the shape of the parabola.

Since the coefficient is negative, the parabola opens downwards.
The x-axis represents time, and the y-axis represents the height of the water balloon. The vertex of the parabola is the highest point the water balloon reaches before falling back down. To find the vertex, we can use the formula

x = -b/2a.

In this case,

b = 0 and a = -7.

Thus, x = 0.
So, the water balloon reaches its highest point at x = 0.

Plugging this value into the equation, we find that y = 0.

Therefore, the water balloon starts at the ground, reaches its highest point at x = 0, and then falls back down.

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Since the quadratic functions for the two water balloons are identical, the collision happens at all moments. The water balloons collide at every height and time, forming a continuous collision.

The quadratic function \(y = -7x^2\) represents the height (y) of a water balloon at different moments (x). When two water balloons collide, it means their heights are equal at that particular moment. To find when the collision occurs, we can set the two quadratic functions equal to each other:

\(-7x^2 = -7x^2\)

By simplifying and rearranging, we get:

0 = 0

This equation is always true, which means the water balloons collide at every moment. In other words, they collide continuously throughout their trajectory.

In conclusion, since the quadratic functions for the two water balloons are identical, the collision happens at all moments. The water balloons collide at every height and time, forming a continuous collision.

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Answer:

The answer is 2.5

Step-by-step explanation:

Your welcome! I sometimes get stuck on problems like you too for hours until I get it.

Answer:

Scale factor: 2.5

Step-by-step explanation:

Scale factor is the ratio between corresponding measurements. And a pre image is basically an (original image) while an image is the translated version of the original.

I'm not sure what the best way to explain my answer is, but you can either multiply or divide to find the answer.

4 x 2.5 = 10

8 x 2.5 = 20

10 x 2.5 = 25

5 x 2.5 = 12.5

10/4 = 2.5

20/8 = 2.5

25/10 = 2.5

12.5/5 = 2.5

Option D is correct

Graph attached