Simplify 4(2x^3y^4)^4/2(2x^2y^6)^3. Show your work. Please help ASAP!!

Answer:

22

Step-by-step explanation:

8 - (-14)

two subtraction signs become addition

8 + 14

add

22

Answer:

540

Step-by-step explanation:

4×4×15×6×6=540

Explanation:

hope it helps

The volume of the solid rectangular prism with a hole is 444 mm³.

The correct answer is option A.

To find the volume of the solid rectangular prism with a hole, we calculate the volume of the outer rectangular prism and subtract the volume of the inner rectangular prism.

Volume of the Outer Rectangular Prism:

The outer rectangular prism has dimensions 15 mm (length) × 6 mm (width) × 6 mm (height). The volume (V_outer) is given by:

Volume_outer = length × width × height = 15 × 6 × 6 = 540 mm³.

Volume of the Inner Rectangular Prism:

The inner rectangular prism has dimensions 4 mm (length) × 4 mm (width) × the height of the outer prism (6 mm). The volume (V_inner) is given by:

Volume_inner = length × width × height = 4 × 4 × 6 = 96 mm³.

Volume of the Solid Rectangular Prism with Hole:

Subtracting the volume of the inner prism from the volume of the outer prism gives the volume of the solid:

Volume_solid = V_outer - V_inner = 540 - 96 = 444 mm³.

Therefore, the correct volume of the solid rectangular prism with a hole is 444 mm³.

The question probable may be:

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.

A. 444

B.300

C.540

D.780

Let us see...

50 head of cattle = 24,500

Divide everything by 50: 1 head of cattle = $490

37 head of cattle = 18,870

Divide the entire equation by 37: 1 head of cattle = $510

The second choice would cost a person $20 more than the first choice, so 50 head of cattle for $24,500 is a better buy.

Answer:

The answer is the first one

Answer:

n=2/3

Step-by-step explanation:

n=1/2÷3/4

n=1/2×4/3

n=4/6

n=2/3

Answer: 8 ten thousands

Explanation: To determine what the digit 8 means in 1,284,590, if we put 1,284,590 into the place value chart, we can see that the the 8 appears in the tens column of the thousands period so the digit 8 in this number means 8 ten thousands.

Answer:

The correct answer is option C that is graph X.

Step-by-step explanation:

Given : 1 sack lunch has 3 sandwiches

x axis = Number of sack lunches

y axis = Number of sandwiches

The coordinate from the given data will be: (1,3)

So, from the given graphs the graph with coordinate point (1,3) is correct. It will also show change in number of sandwiches with respect to change in number of sack lunches.

Answer:

C = X

Step-by-step explanation:

Answer: [tex]\frac{67}{24}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} /2^{4}+(\frac{3}{4} +\frac{1}{6})/\frac{1}{3} \\\\\frac{2}{3} /2^{4}+ \frac{11}{12} /\frac{1}{3} = \frac{2}{3} /16+ \frac{11}{12} /\frac{1}{3}[/tex]

Use the rule a÷b/c=a*c/b

[tex]\frac{2}{3} *\frac{1}{16}+ \frac{11}{12}/ \frac{1}{3}[/tex]

Use the rule a/b*c/d=ac/bd

[tex]\frac{2}{3*16}+ \frac{11}{12}/ \frac{1}{3} \\\\\frac{2}{48} +\frac{11}{12}/ \frac{1}{3} \\\\\frac{1}{24}+\frac{11}{12}/\frac{1}{3}[/tex]

Use the rule a÷b/c=a*c/b

[tex]\frac{1}{24} +\frac{11}{12} *3[/tex]

Use the rule a/b*c=ac/b

[tex]\frac{1}{24}+ \frac{11*3}{12}[/tex]

Simplify three times then you're done.

[tex]\frac{1}{24}+ \frac{33}{12}= \frac{1}{24}+ \frac{11}{4} =\frac{67}{24}[/tex]

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

Answer: 14

Step-by-step explanation: If you add 7 to 8 you get 15 so if he spent half of his allowance you multiply 7 by 2 so your answer is 14.

James's weekly allowance is calculated by setting up an equation based on the information given. After spending half of his allowance on clothes and earning an additional $8, the equation 0.5A + $8 = $15 is solved to reveal that James's weekly allowance is $14.

The student's question involves solving for James's weekly allowance, given that he spent half of it on clothes and earned an additional $8 by cleaning the oven, which resulted in him having a total of $15 at the end. To solve the problem, we need to set up an equation where 'A' represents James's weekly allowance.

James spent half of his allowance on clothes, which means he has half of it left. So, we can represent this as 0.5A. Then he adds $8 from cleaning the oven: 0.5A + $8 = $15. We isolate 'A' by subtracting $8 from both sides of the equation: 0.5A = $15 - $8, which simplifies to 0.5A = $7. To find the full value of his allowance (A), we divide by 0.5: A = $7 / 0.5, so A = $14.

Thus, James's weekly allowance is $14.

Answer:

Yes

Step-by-step explanation:

Since the longest side is 6.5 cm, so let it be hypotenuse c.

Verifying by right angle formula

c^2=a^2+b^2

(6.5)^2=(3.9)^2+(5.2)^2

42.25=15.21+27.04

42.25=42.25

Hence the given triangle is a right angles triangle

Given expression: 21 + (36 + 0 + 19)

Using identity property of addition: a + 0 = a

21 + (36 + 0 + 19) = 21 + (36 + 19)

Using commutative property of addition: a + b = b + a

21 + (36 + 19) = 21 + (19 + 36)

Using associative property of addition: a + (b + c) = (a + b) + c

21 + (19 + 36) = (21 + 19) + 36

Now, add two numbers inside the bracket.

(21 + 19) + 36 = 40 + 36

Using closure property of addition: a + b = c any number.            

40 + 36 = 76

Hence 21 + (36 + 0 + 19) = 76.

Answer:

1/2 is equivalent to 50%

Step-by-step explanation:

In order to convert a fraction to a percentage you divide the numerator (Top number of a fraction) by the denominator (Bottom number of a fraction), multiply by 100, and add a percentage sign.

So lets try that with our first answer option A) 1/2:

1 divided by 2 = 0.5

0.5 x 100 = 50

50%

So we know that 1/2 is equivalent to 50%

Answer:

You can say it as 1 : 24

Step-by-step explanation:

Answer:

its 13

Step-by-step explanation:

take the highest and lowest answer and subtract them

if this helped plz give brainlest

Answer:

Step-by-step explanation:

Value of x should be  less than (-6).

x = { .......,-9,-8,-7}

For example:

-15*-7 +80 = 105+80 = 185 >170

The solution to the inequality -15x + 80 > 170 is x < -6. We subtract 80 from both sides and then divide by -15, remembering to reverse the inequality sign.

The question provided asks for the solution to the inequality -15x + 80 > 170. To solve the inequality, we can follow these steps:

Therefore, the solution to the inequality is all values of x that are less than -6.

Answer:

  |-5i+10j| = 5√5 ≈ 11.18

  ∠(-5i+10j) ≈ 116.57°

Step-by-step explanation:

The magnitude is given by the Pythagorean theorem:

  |-5i+10j| = √((-5)² +10²) = √125 = 5√5

The direction is found using the arctangent function. The angle is a second-quadrant angle.

  ∠(-5i+10j) = arctan(10/-5) ≈ 180° -63.43° = 116.57°

Answer:

the eight pound bag is better because you would have to pay $10.76 if you buy two of the 4 pound bags so you are saving $3.36

Step-by-step explanation:

Answer:

the 8 pound buy

Step-by-step explanation:

Answer:

Its true.A rectangle is never a rhombus.

Answer:

This is actually false according to most accepted definitions - a rectangle that has equal sides would be a square, and thus also a rhombus.

Step-by-step explanation:

The definition of a rhombus is that it has 4 equal sides.

Also, the definition of a rectangle is that it has two pairs or equal sides, and all angles are 90 degrees.

So a square is a special case of a rectangle. And a square is also a special case of a rhombus.

Meaning that a square is both a rhombus and a rectangle, so any rectangle with equal sides would also be a rhombus.

Answer:

45 fake dollar.

Step-by-step explanation:

Given: teacher offer 5 fake dollar for each perfect score in Math test.

           One of Student get perfect score on 4 maths test.

          Student already have 25 fake dollor.

Now, solving to find total number of fake dollar teacher offered to student.

As given teacher offer 5 dollar for each perfect score in maths test and student got perfect score on 4 maths test.

Number of fake dollar offer to the student= [tex]Fake\ dollar\ offered\ for\ each\ perfect\ score\ \times\ number\ of\ maths\ test\ with\ perfect\ score[/tex]∴ Number of fake dollar offered to the student=  [tex]5\times 4= 20\ fake\ dollar[/tex]

We know, student already have 25 fake dollar.

Next, finding total number of fake dollar student have.

Total fake dollar student have= [tex]fake\ dollar\ offered\ by\ teacher + fake\ dollar\ student\ already\ have[/tex].

Total fake dollar student have= [tex]20+25= 45\ fake\ dollar[/tex]

Hence, student have total 45 fake dollar to spend in the class store.

Answer:

I have solved the question and it is in the picture above I solve the quadratic equation using factorization method I can solve it using the quadratic formula or completing the square method if you want any of these just comment below thank you bye

So you have a diagram or picture of the triangle?

Anyways...

Answer: 36

Explanation:

3:5:7 is the ratio of the triangle's angles

The sum of all angles = 180 degrees.

3 + 5 + 7 = 15

Lets assume 'a' is the smallest angle with the ratio of 3

b is the second largest with a ratio of 5

And c is the largest angle with the ratio of 7

In other words:

a + b + c = 180

For 15 to get to 180 => 180 ÷ 15 = 12

So 15 × 12 = 180

So for 3 to get to a => 3 × 12 = 36

Thus the smallest angle is 36 degrees

Answer:s

The three angles are 36, 60, and 84 degrees

Smallest angle is 36 degrees

======================================================

Explanation

The ratio 3:5:7 is equivalent to 3x:5x:7x as we can multiply all parts of any ratio by the same number, and still have it be the same ratio.

So we can think of the three angles as 3x, 5x, 7x

Add up those angles. Set them equal to 180 and solve for x.

3x+5x+7x = 180

15x = 180

x = 180/15

x = 12

Use this x value to find the three angle measures

3x = 3*12 = 36

5x = 5*12 = 60

7x = 7*12 = 84

As a check, add up the angles to get: 36+60+84 = 180

So the answer is confirmed.

Answer:

B

Step-by-step explanation:

A and D are the same spots on the triangles, B and E are the same spots, and C and F are the same spots.

The lateral area of the cylinder is approximately [tex]45.24 \, \text{cm}^2\)[/tex] and the volume is approximately [tex]\(45.24 \, \text{cm}^3\)[/tex].

To find the lateral area and volume of a cylinder, you can use the following formulas:

1. Lateral Area [tex](\(A_{\text{Lateral}})\)[/tex]:

[tex]\[ A_{\text{Lateral}} = 2 \pi r h \][/tex]

  where r  is the radius of the base and  h  is the height.

2. Volume (V):

 [tex]\[ V = \pi r^2 h \][/tex]

Given that the diameter (D) is 4 cm, the radius (r) is half of the diameter, so [tex]\( r = \frac{D}{2} = \frac{4}{2} = 2 \)[/tex] cm, and the height (h) is 3.6 cm.

Now, let's calculate:

1. Lateral Area:

 [tex]\[ A_{\text{Lateral}} = 2 \pi \times 2 \times 3.6 \][/tex]

2. Volume:

[tex]\[ V = \pi \times 2^2 \times 3.6 \][/tex]

Calculating these values:

1. Lateral Area:

[tex]\[ A_{\text{Lateral}} \approx 45.24 \, \text{cm}^2 \][/tex]

2. Volume:

[tex]\[ V \approx 45.24 \, \text{cm}^3 \][/tex]

So, the lateral area of the cylinder is approximately [tex]45.24 \, \text{cm}^2\)[/tex] and the volume is approximately [tex]\(45.24 \, \text{cm}^3\)[/tex].

Complete Question: Find the lateral area and volume of the cylinder whose diameter is 4 cm and height= 3.6cm.

Answer:

Explanation:

The variability of a sample may be described by using some common statistics like the variance and the standard deviation.

The variance and the standard deviation measure the difference between the values of the data  and the mean. The variance is the average square of those differences or deviations. The standard deviation is the square root of the variance.

Thus, both variance and deviations, being an average of the differences of the data from the mean contain the number of data in the denominator of the equation.

That lets you know to conclude that the larger the number of data (the larger the sample) the smaller the variance and the standard deviation, this is the lower the variability of the data.

Hence, Network C, which has the greatest number of voters sampled (1,800) is likely to have the least variability.

Answer:

A

Step-by-step explanation:

150 grams of zinc is present

Solution:

Given that, ratio of zinc to copper is 3 to 13

A jar of the chemical contains 650 grams of copper

From given information,

zinc : copper = 3 : 13

Let the zinc present be 3x

Let the copper present be 13x

Given that, jar contains 650 grams of copper

13x = 650

x = 50

Substitute x = 50 in 3x

Zinc present = 3x = 3(50) = 150

Thus it contains 150 grams of zinc

The simple interest rate was: 1.25%

Step-by-step explanation:

Simple interest is given by:

[tex]A = Prt\\Here\\A => Interest\\P=>Principal\ Amount\\r => Rate\\t => Time\ in\ years[/tex]

Given

Principal amount =$3000

Time = t = 2 years

Interest amount = A = $75

putting the values in the formula

[tex]75 = 3000 * r * 2\\75 = 6000r[/tex]

Dividing both sides by 6000

[tex]\frac{6000r}{6000} = \frac{75}{6000}\\r = 0.0125\\[/tex]

So,

The rate is:

0.0125 * 100 = 1.25%

Hence,

the simple interest rate was: 1.25%

Keywords: Simple interest, percentage

Learn more about interest at:

#LearnwithBrainly

Answer: -15

Step-by-step explanation:

[tex]x^{4}[/tex] + 24 = 105

subtract 24 from both sides of the equation .

[tex]x^{4}[/tex] = 105 - 24

[tex]x^{4}[/tex] = 81

find the fourth root of both sides

x = 3

Therefore : substitute x = 3 to find the value of [tex]x^{2} -24[/tex]

[tex]x^{2}[/tex] - 24  =  [tex]3^{2}[/tex] - 24

= 9 - 24

= - 15

[tex]x = 4.82[/tex]

Step-by-step explanation:

Given equation is:

6.2 ÷ (2x+1) = 2 1/3 ÷4

Applying the division operation

[tex]\frac{6.2}{2x+1} = 2\frac{1}{3} * \frac{1}{4}\\\frac{6.2}{2x+1} = \frac{7}{3}*\frac{1}{4}\\\frac{6.2}{2x+1} =\frac{7}{12}\\[/tex]

Cross multiplication

[tex]6.2(12) = 7(2x+1)\\14x+7 = 74.4\\14x = 74.4-7\\14x = 67.4[/tex]

Dividing both sides by 14

[tex]\frac{14x}{14} = \frac{67.4}{14}\\x = 4.8142857....[/tex]

Rounding off to nearest hundredth

[tex]x = 4.82[/tex]

Keywords: Linear equation, variables

Learn more about linear equation at:

#learnwithBrainly

Answer:

YES

Step-by-step explanation:

Quadrilateral have 4 sides and their sum  of angles is 360 and parallelogram also have 4 sides and sum of angles is 360

Final answer:

The statement that a parallelogram is a quadrilateral is true. A parallelogram is a type of quadrilateral with parallel opposite sides, and its properties are related to the parallelogram law in vector addition.

Explanation:

A parallelogram is indeed a type of quadrilateral with two pairs of parallel sides. In geometry, quadrilaterals are four-sided polygons, and parallelograms are a specific class within that category. Furthermore, in the context of vector addition, the parallelogram law shows how two vectors can combine to form the sides of a parallelogram. This law is closely related to the triangle law of vector addition as both can depict how vectors combine.

An example of the parallelogram's properties in advanced concepts would be where two objects at rest have world-lines that define a rectangle which may become a parallelogram in a different frame of reference. Additionally, the concept of vectors is also relevant when discussing the diagonals of a rhombus, which is a special type of parallelogram with all sides equal in length. Using vectors and their scalar products, it can be shown that the diagonals of a rhombus are always perpendicular to each other.

Answer:

  25

Step-by-step explanation:

Area is the square of the side length, so

  s^2 = 25^2

Matching parts of this expression, we see ...

  s = 25

The length of each side is 25.