What is a common binomial factor

Given:

Surface area = 4,362 yards

Length = 36 yard

Width = 21 yard

Height = c

To find:

Volume of the rectangular prism.

Solution:

Surface area formula:

[tex]SA = 2(lw+wh+lh)[/tex]

Substitute the given values.

[tex]4362 = 2(36\times21 +21 \times c+36 \times c)[/tex]

[tex]4362 = 2(756+21 c+36 c)[/tex]

[tex]4362 = 2(756+57c)[/tex]

[tex]4362 = 1512+114c[/tex]

Subtract 1512 from both sides.

[tex]4362- 1512 = 1512+114c - 1512[/tex]

[tex]2850=114c[/tex]

Divide by 114 on both sides, we get

25 = c

Height = 25

Volume = length × breadth × height

             = 36 × 21 × 25

             = 18900

Volume of rectangular prism is 18900 cubic yards.

Answer:

Option A) x = 3 and y = 5

Step-by-step explanation:

−7x + 3y = −6_____ first equation

−3x + 3y = 6_____ second equation

Since both equations have "y" that share the same coefficients (that is 3),we can solve this equation.

---First step is to subtract the equation 2 from 1

−7x + 3y = −6

−3x + 3y = 6

From the above equation, we have

-4x = -12

Divide both sides by -4

X = 3

--- Substitute x = 3 in equation 1

−7x + 3y = −6

-7(3) + 3y = -6

-21 + 3y = -6

3y = 21 - 6

3y = 15

Y = 5

X = 3 and y = 5( option a)

Answer:

X° + 2x° + 45° = 180°

X = 45°, 2x = 90°

Step-by-step explanation:

Since the angles in a triangle sums up to 180

And the angles in this particular triangle is measured as 2x° + x° + 45° = 180

With this equation, we can find the value of x and 2x

2x + x + 45 = 180

3x + 45 = 180

3x = 180 - 45

3x = 135

Now divide both sides by 3

3x/3 = 135/3

X = 45

Therefore, the angles of that triangle are x° = 45, 2x°= 45 × 2 = 90° and the third angle which was given to us as 45°

Answer:

Assuming biweekly means once every two weeks, then Juan makes $36,400 per year.

Step-by-step explanation:

I'll assume biweekly means that he's paid once every two weeks.

There are 52 weeks in a year, meaning he's paid 26 times a year (52/2=26).

26 x $1,400 = $36,400

Juan is paid a salary of $1400 biweekly then his yearly earnings

⇒ $72,400

Salary paid by Juan = $1400 weekly

Then we have to calculate his annual salary .

Since we know that,

There are 52 weeks in a year.

Since Juan's 1 week salary = $1400

Then his 52 weeks salary is calculated by multiplying 52 with the weekly amount.

Therefore,

His 52 weeks earning = 52x1400

                                     = $72,400

Hence,

His annual earnings = $72,400

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Answer:

y=-2x+9

Step-by-step explanation

you would subtract  2x on both sides resulting in y=-2x+9 and you have the answer. Your slope is is -2 and y-intercept is 9

The confounding variable, often described as a confounder or confusing factor, is a dimension in studies looking at a possible causation link, and further calculation can be defined as follows:

Therefore, the final answer is "Confounding variable".

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Final answer:

The difference in yield between cocoa plant types due to potential freeze effects is an example of a confounding variable. Replication and control of confounding factors are necessary to ascertain true plant performance.

Explanation:

The situation described with cocoa plant types yielding different amounts of bushels per acre due to a potential major freeze is an example of a confounding variable. A confounding variable is an outside influence that changes the effect of a dependent and independent variable. This means that the difference in yield between the two types of cocoa plants may not solely be because of plant superiority but could also be significantly influenced by the freeze that occurred during the growing season of the second plant type.

To determine the true effect of the plant type on yield, researchers would need to conduct a study that controls for the confounding variable, in this case, the freeze. This could include replication of the experiment in various conditions or over multiple years to ensure that the results reflect the actual performance of the plant types rather than the effect of an abnormal weather event. Without this, it remains unclear whether the observed yield difference was indeed due to the inherent superiority of one cocoa plant type over the other.

Answer:

-6, -7, -8

Step-by-step explanation:

Let's isolate the x by dividing both sides by -2. However, we need to be careful because when we divide or multiply an inequality by any negative number, we MUST switch the inequality sign. So, after we divide by -2, we get:

x < -5

So, we can just list any values of x that are smaller than -5, and they'll work. For example, we can have: -6, -7, -8, -9, ...

nothing just that the person above me deserves brainly

Answer:

65

Step-by-step explanation:

6+5=11

Answer:

The area of sail A is One-fourth the area of sail B.

Step-by-step explanation:

Answer:

i feel like it might be one half because it says that the sides of triangle A is half of the sides on triangle B and it asks what area do these have in common

Step-by-step explanation:

Answer:

E 551.625 ft^2

Step-by-step explanation:

We have a rectangle and a circle (2 1/2 circles)

The area of the rectangle is

A = l*w = 15*25 =375

The area of the circle

d =15 so r = d/2 = 7.5

A = pi * r^2

   = 3.14 (7.5)^2

   =176.625

Add the 2 together

375+176.625 =551.625 ft^2

Answer:

E is the correct answer

Step-by-step explanation:

176.71ft^2 for the two semicircles

375

Answer:

On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).

(see screenshot)

Step-by-step explanation:

The points (-4,3), (1,2) and (-4, -2) would form a right triangle when graphed and connected by lines.

(-4,3), (1,2) and (1,3) would also work as well.

Based on the options provided, the triangle with points (-4, 3), (-4, -2), (1, -2) would be the most helpful. Thus, the third option is correct.

To find the distance between the points (-4, 3) and (1, -2) on the coordinate plane, the most helpful triangle would be the one with points (-4, 3), (-4, -2), and (1, -2).

A triangle with points (-4, 3), (-4, -2), (1, -2):

This triangle includes both of the given points and can be used to calculate the distance between them.

Therefore, based on the options provided, the triangle with points (-4, 3), (-4, -2), (1, -2) would be the most helpful in finding the distance between the points (-4, 3) and (1, -2) on the coordinate plane.

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Answer:

     I think 140

Step-by-step explanation:

Answer:

144 units^3

Step-by-step explanation:

The volume of a triangular prism is calculated like this : 1/2 ×b×h×l

1/2 × 12 × 8 × 3 = 144 units^3

Answer:

B 5

Step-by-step explanation:

log 2(32)

Replace 32 with 2^5

log2 (2^5)

We know that log a^b = bloga

5 log2(2)

We know that loga(a) =1

5*1

5

The alternate interior angle to ∠BEF is ∠DEB, which is on the opposite side of the transversal line t and lies between the parallel lines m and n.

In the context of geometry and specifically the study of parallel lines and transversals, alternate interior angles are pairs of angles on opposite sides of the transversal but inside the two lines.

Since line m is parallel to line n with transversal line t, the alternate interior angle to ∠BEF should also be on the opposite side of the transversal and inside the parallel lines, but not adjacent to ∠BEF. Considering the choices presented and assuming the standard notation for angles in geometric figures, ∠DEB would be the alternate interior angle to ∠BEF since it is non-adjacent and lies between line m and line n on the opposite side of the transversal.

Answer:

(Please vote me Brainliest if this helped!)

[tex]u=\frac{-6}{7}w[/tex]  OR [tex]w=\frac{-7}{6} u[/tex]

Step-by-step explanation:

[tex]4u+8w=-3u+2w[/tex]

[tex]4u-(-3u)+8w=2w[/tex]

[tex]4u+3u=2w-8w[/tex]

[tex]7u=-6w[/tex]

[tex]u=\frac{-6}{7}w[/tex] OR [tex]w=\frac{-7}{6} u[/tex]

Independent variable is the variable you change.

Dependent variable is the variable you measure that results/depends on the independent variable.

Since u is the independent variable, you need to set the equation equal to w by isolating/getting the variable "w' by itself in the equation:

[This is because u is the variable you change, and w is the variable you measure that depends on the independent variable(u)]

4u + 8w = -3u + 2w       Subtract 2w on both sides to get "w" on one side of the equation

4u + 6w = -3u        Subtract 4u on both sides

6w = -7u     Divide 6 on both sides to get "w" by itself

[tex]w=\frac{-7u}{6}[/tex]

Answer:

[tex]4x\sqrt{26}[/tex].

Step-by-step explanation:

Given information:

[tex]Leg_1=4x[/tex]

[tex]Leg_2=20x[/tex]

According to the Pythagoras theorem,

[tex](hypotenuse)^2=(Leg_1)^2+(leg_2)^2[/tex]

Using Pythagoras theorem, we get

[tex](hypotenuse)^2=(4x)^2+(20x)^2[/tex]

[tex](hypotenuse)^2=16x^2+400x^2[/tex]

[tex](hypotenuse)^2=416x^2[/tex]

Taking square root on both sides.

[tex]hypotenuse=\sqrt{416x^2}[/tex]

[tex]hypotenuse=4x\sqrt{26}[/tex]

Hence, the expression of the hypotenuse is [tex]4x\sqrt{26}[/tex].

Final answer:

To determine the hypotenuse of a right triangle with legs measuring 4x and 20x, the Pythagorean theorem is applied, resulting in an expression for the hypotenuse as 20.4x.

Explanation:

To find an expression for the hypotenuse of a right triangle with legs of length 4x and 20x, we can apply the Pythagorean theorem, which is written as a² + b² = c², where a and b are the lengths of the legs, and c is the length of the hypotenuse. Solving for c, we get c = √(a² + b²). Plugging in the lengths of our legs, we have:

c = √((4x)² + (20x)²)

c = √(16x² + 400x²)

c = √(416x²)

c = 20.4x

This suggests that the expression for the hypotenuse of the right triangle is 20.4x.

Answer:

48

Step-by-step explanation:

7x+42=11(3x+8)−2(13x−1)

Step 1: Simplify both sides of the equation.

7x+42=11(3x+8)−2(13x−1)

7x+42=(11)(3x)+(11)(8)+(−2)(13x)+(−2)(−1)(Distribute)

7x+42=33x+88+−26x+2

7x+42=(33x+−26x)+(88+2)(Combine Like Terms)

7x+42=7x+90

7x+42=7x+90

Step 2: Subtract 7x from both sides.

7x+42−7x=7x+90−7x

42=90

Step 3: Subtract 42 from both sides.

42−42=90−42

0=48

Answer: contradiction

Step-by-step explanation:

7v+42=11(3v+8)-2(13v-1)

Open the bracket

7v+42=33v+88-26v+2

7v+42=33v-26v+88+2

7v+42=7v+90

Collect like term

7v-7v=90-42

0=48

This shows that

7v+42=7v+90 contradict

Answer:

No solutions. You can’t have a negative absolute value.

Answer:

( x+4) ( x-1)

Step-by-step explanation:

x^2 + 3x – 4

What two numbers multiply to -4 and add to 3

4 * -1 = -4

4+-1 = 3

( x+4) ( x-1)

The factors of x^2 + 3x - 4 are (x + 4) and (x - 1). To find the factors, identify two numbers that multiply to -4 and add up to 3. The factored form of x^2 + 3x - 4 is (x + 4)(x - 1).

The factors of x2 + 3x - 4 are (x + 4) and (x - 1).

To find the factors, you need to look for two numbers that multiply to -4 and add up to 3 (the coefficient of the x-term).

Therefore, x2 + 3x - 4 = (x + 4)(x - 1).

Answer:

≈ 78.54

Step-by-step explanation:

The formula to calculate the area of a circle is [tex]r^{2} *\pi[/tex]

in this case the radius is 5 so for [tex]r^{2}[/tex]

5 * 5 = 25

then we multiply that by [tex]\pi[/tex]

25 * [tex]\pi[/tex] ≈ 78.54

The area in square yards in which the dog can roam is approximately 78.54 square yards.

To find the area in square yards in which the dog can roam, we need to find the area of a circle with a radius equal to the length of the rope. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. In this case, the radius is 5 yards. Using the formula, the area is A = π(5^2) = 25π square yards, or approximately 78.54 square yards.

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Answer:

300-20x<100

Step-by-step explanation:

More than, is like greater than, making it a greater than sign,

$100 is the number that is being compared to the other two, so it goes on the other side

$300 is the inital price, so it has no variable

Last, the $20 represents the cost per shirt giving it an unknown variable

I hope this helps u

pls give a brainliest and a thx ;)

Answer:

Hey there!

Your answer is: 20 units

Hope this helps!

The length of AQ would be,

⇒ AQ = 20 units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Points Q and R are midpoints of the sides of triangle ABC.

Hence, By definition of proportion we get;

QR / AQ = CB / AB

2p + 3 / 4p = 6p - 4 / 8p

2 (2p + 3) =  (6p - 4)

4p + 6 = 6p - 4

6 + 4 = 6p - 4p

10 = 2p

p = 5

Thus, The length of AQ would be,

⇒ AQ = 4p = 20 units

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The perimeter of square ABCD is 8√13 units

from the question, we have the following parameters that can be used in our computation:

The square

The side length (x) of the square is calculated as

x² = 4² + 6²

So, we have

x = 2√13

The perimeter is calculated as

P = 4 * 2√13

Evaluate

P = 8√13

Hence, the perimeter is 8√13

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Answer:

its 60 or 80 because its lower than one side

Step-by-step explanation:

Answer:

The answer is 25 but I don't see and answer choice for it.

Step-by-step explanation:

The Range is the difference between the lowest and highest values.

so,

125-100=25

The answer is yes, 425 divided by 3333 is a rational number.

A rational number is defined as any number that can be expressed as the quotient or fraction p/q of two integers, where the numerator p is an integer, and the denominator q is a non-zero integer. In this case, 425 is an integer, and 3333 is a non-zero integer. Therefore, the fraction 425/3333 is indeed a rational number.

To demonstrate this, we can perform the division:

[tex]\[ \frac{425}{3333} \approx 0.1275 \][/tex]

This decimal representation is a repeating decimal, which is another characteristic of rational numbers. Rational numbers either terminate after a finite number of digits or begin to repeat the same finite sequence of digits over and over. The decimal expansion of 425/3333 is a repeating decimal; hence, it satisfies the definition of a rational number.

The answer to the math riddle 'Where can you see the world's biggest rock group?' is Mt. Rushmore. This riddle plays on the term 'rock group' to refer humorously to the monumental carvings of U.S. presidents on a mountain rather than a music band.

The student has posed a math riddle: Where can you see the world's biggest rock group? Although this may seem like a question related to geography or music at first, it is actually a play on words and is categorized as a math riddle.

The answer to this riddle is: Mt. Rushmore, because it features the faces of four U.S. presidents, which can be seen as a 'rock group'. It is the 'biggest' since these faces are carved into a mountain and are of a monumental scale. This represents a playful twist on the term 'rock group' as it does not refer to a music band, but rather a group of presidential faces carved into rock.

This riddle is a fun way to engage with wordplay and illustrates how mathematics and numbers are not always about straightforward calculations but can also involve lateral thinking and humor.

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Answer:

Division

Step-by-step explanation:

Certain Outcomes/Total Outcomes = Probability

The operation used is division