Factor each polynomial. If the polynomial cannot be factored write prime!!!

1. K^2-100
2. 16p^2-36
3. 9d^2-32
4. 24a^2-54b^2
5. 100b^3-36b

ANSWER QUICK PLS!!

If by the SAS similarity theorem, in ΔABE ≈ΔACD the AD is 24 units.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Triangles that resemble one another but may not be exactly the same size are said to be comparable triangles. When two objects have the same shape but different sizes, they can be said to be comparable. This indicates that comparable shapes superimpose one another when amplified or demagnified.

If the sides are in the same ratio or proportion and the angles are equal (corresponding angles), two triangles will be similar (corresponding sides). Similar triangles may have varied side lengths when compared individually, but they must all have equal angles and the same ratio of their side lengths.

Learn more about Similar Triangle:

https://brainly.com/question/21874653

#SPJ4

Answer:

1.The probability an individual student likes more than 7 songs from Aesop Rock is 0.1587.

2.The probability an individual student likes less than 3 songs from Aesop Rock is 0.3173.

3.The probability an individual student likes between 3 and 7 songs from Aesop Rock is 0.6826.

4.The probability an individual student likes between 1 and 9 songs from Aesop Rock is 0.9973.

Answer:

[tex]\frac{1}{x^2}[/tex]

Step-by-step explanation:

first, simplify [tex](x^{10})^\frac{1}{5}[/tex]  [tex]\frac{10}{1} =\frac{1}{5}[/tex] , 5 and 10 cancel each other, so [tex]\frac{2}{1}[/tex] or 2.  [tex]x^2[/tex]

secondly, [tex]\sqrt{x^8}[/tex], we need to only do [tex]\sqrt{8}[/tex] which is 4, so answer is [tex]x^4[/tex].

then divide [tex]\frac{x^2}{x^4}[/tex] , minus 2 - 4= -2, [tex]x^-2[/tex]

but if there was any negative exponent in math it needs to be down so answer is [tex]\frac{1}{x^2}[/tex].

Answer:

1/x² = x^(-2)

Step-by-step explanation:

((x¹⁰)^(1/5))/sqrt(x⁸)

4 things are important to remember here :

[tex] {x}^{a \div b} = \sqrt[b]{ {x}^{a} } [/tex]

so, for example, a square root is the same as 1/2 as exponent.

now we can simplify.

let's start with the numerator :

(x¹⁰)^(1/5) = x^(10×1/5) = x²

then the denominator :

sqrt(x⁸) = x^(8×1/2) = x⁴

the whole fraction looks like

x²/x⁴

remember about the subtraction of exponents when dividing :

x²/x⁴ = x^(2-4) = x^-2 = 1/x²

FYI

when you remember, what an exponent actually is : the number how often the base had to be multiplied by itself, ...

x×x / x×x×x×x

the top 2 x can be reduced to 1 by division by 2 of the bottom x.

what is left is 1/x²

Answer:

9 23/84

Step-by-step explanation:

divide then mulitply

If these pigs produce a total of three piglets, then the probability that all will be pink is 0.016

The heterozygous black pig can be represented as "Bb" , where B is the dominant for black skin color and b is the recessive for pink skin color.

When two heterozygous black pigs are crossed, each pig can contribute either B or b to each offspring, giving us four possible combinations for each offspring: BB (black) , Bb (black) , bB (black) , bb (Pink)  .

For all piglets to be Pink , we need all pink piglets to be "bb" .

Probability of getting a black pigs = 3/4 and that of pink pigs = 1/4 ;

To find probability of getting all  pink pig ;

it can be produced in only one way : .

(i) Pink, Pink, Pink

So probability to get all  pink pig ;

⇒ 1/4 × 1/4 × 1/4        

⇒  1/64    

⇒ 0.015625 ≈ 0.016

Therefore , the probability that all will be pink 0.016 .

The given question is incomplete , the complete question is

Black skin color is dominant to pink skin color in pigs. Two heterozygous black pigs are crossed.

If these pigs produce a total of three piglets,  what is the probability that all will be pink? express your answer using three significant figures.

Learn more about Probability here

https://brainly.com/question/21134700

#SPJ4

Answer: Hi

Step-by-step explanation:

The equation for the line y = p - 3x can be rearranged as y + 3x = p.

Substituting this into the system of equations, we get:

4x - (y + 3x) = 6

4x - y - 3x = 6

x = 6

2x - 5y = 12

2(6) - 5y = 12

12 - 5y = 12

-5y = 0

y = 0

So the point of intersection is (6, 0).

Substituting these values into y = p - 3x, we get:

0 = p - 3(6)

0 = p - 18

p = 18

Therefore, the value of p that makes the line y = p - 3x pass through the point of intersection of the lines 4x - y = 6 and 2x - 5y = 12 is 18.

There are 25 2-digit positive integers have 2 different factors

A 2-digit positive integer has two different factors if it is a prime number.

There are 25 prime numbers between 1 and 100.

For example, the prime number 7 has only two factors: 1 and 7. A positive integer that is not prime is called a composite number and has more than two factors.

Therefore, there are 25 2-digit positive integers that have 2 different factors.

Read more about prime numbers at

https://brainly.com/question/13179238

#SPJ1

Answer: The last one

Step-by-step explanation: The area of a parallelogram is base x height, so you know the original area of the parallelogram is 2 x 1, which is 2.

Great, so now you have to find the area of the new parallelogram. The question says the base is halved, so the new base is now 1, and the height is quadrupled, so the height is now 4, because 1 x 4 = 4. Plugging that into the equation for the area of a parallelogram, you get an area of 4, because 1 x 4 = 4.

Now, you have to find the ratio between the two areas, and you can see that all the answer choices want the area to be new area:old area. Well, you just solved the new area, and you know the old area, so putting those two in a ratio gives you 4:2. Wait! But you have to simplify it first, or else the answer will be wrong. To simplify, you need to divide both sides by two, since it is the greatest common factor, or GCF. Dividing both sides by 2 will now give you 2:1, which is what the last answer choice says.

Answer: Henry drove 7 3/4 miles last week.

Step-by-step explanation:

First, you need to find the GCF of both numbers which is 4.

7 1/2 -----> 7 2/4

1/4 -------->    1/4

Add the numbers together.

          7 3/4

Therefore, Henry drove 7 3/4 miles in total last week. Hope this helps!

Two values of frequency can be used to calculate the final value in a particular row or column.

Statistic is the study of mathematics which deal with relations between comprehensive data.

Here,

If a table already includes some data and we need to add more, we simply search for a row or column that holds the additional data. These two values can be used to calculate the final value in a particular row or column.

Thus, two values of frequency can be used to calculate the final value in a particular row or column.

Learn more about Statistics here:

brainly.com/question/23091366

#SPJ1

Using a trigonometric relation, we can see that the measure of angle W is 22.62°.

We can see a right triangle where we know the measures of all of its sides. Then we can use the trigonometric relation:

Sin(W) = (opposite cathetus)/hypotenuse

We can see that:

Opposite cathetus =15

hypotenuse = 39

Replacing these we will get:

Sin(W) = 15/39

Using the inverse sine function we will get:

W = Asin(15/39) = 22.62°

Learn more about right triangles at:

https://brainly.com/question/2217700

#SPJ1

Answer:

The answer to the question is 1.75

The required triangles that are similar by angle-angle similarity are,
(1)    ΔCDE ≅ ΔGFE    (2)  ΔLQP ≅ ΔLMN     (3)  ΔSTE ≅ ΔCWH
(4) Triangles are not similar.   (5)  Triangles are not similar.
(6) ΔPXQ ≅ ΔZXY

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,
(1)

Consider ΔCDE and ΔGFE
∠C = ∠G   [alternate interior angle of parallel lines]
∠CED = ∠GEF   [opposite angles]

There, for ΔCDE ≅ ΔGFE bu AA postulate.

Similarly,
(2)  ΔLQP ≅ ΔLMN

(3)  ΔSTE ≅ ΔCWH

(4) Triangles are not similar.
(5)  Triangles are not similar.
(6) ΔPXQ ≅ ΔZXY

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ1

The first option is correct. The series of transformations that would result in an image being similar but not congruent to its preimage is reflection over the x-axis, reflection over the y-axis, and translation up 3.

The state of being in agreement or concord is referred to as congruency. It is a notion that is employed in many fields of life, including mathematics, psychology, and philosophy. Congruency is the belief that in order for an idea, system, or process to be effective, all of its components must agree with each other.

Reflection along the x-axis: This transformation includes reflecting the shape along an imaginary line drawn across the coordinate plane's origin. This produces a mirror copy of the original shape, with the left side of the shape mirrored to the right side and the right side of the shape reflected to the left.

Reflection along the y-axis: This transformation includes reflecting the shape along an imaginary line drawn across the coordinate plane's origin. This produces a mirror copy of the original shape, with the top side of the shape reflecting to the bottom side and the bottom side of the shape reflecting to the top side.

Translation up 3: In this transformation, the shape is moved up by a given number of units. The form will be pushed forward three units without affecting its size or orientation as a result of this.

Reflection over the x-axis, reflection over the y-axis, reflection over the x-axis: This transformation requires reflecting the shape twice across an imaginary line drawn through the coordinate plane's origin. This produces a mirror copy of the original shape, with the left side of the shape mirrored to the right side and the right side of the shape reflected to the left.

Dilation by a scale factor of 3: This modification enlarges or contracts the shape by a certain scale factor. This causes the form to be three times larger or smaller than it was before, without affecting its orientation.

180° anticlockwise rotation: This transformation includes rotating the shape by a given amount. This will spin the form 180° anticlockwise without affecting its size or orientation.

To know more about congruency, visit

brainly.com/question/6108628

#SPJ1

The 3-dimensional figure is associated with the Volume formula is B)Sphere.

What is volume?

The space taken up by any three-dimensional solid constitutes a volume, to put it simply. A cube, cuboid, cone, cylinder, or sphere can be one of these solids. Cubic units are used to measure the volume of solids. The volume will be given in cubic metres, for instance, if the dimensions are given in metres.

Here the given volume is V= [tex]\frac{4}{3} \pi r^3[/tex]

In given formula we only have r which is radius. Then cylinder , Cone and prism have both radius and height.

Sphere does not have height and volume of the sphere is

=>  V= [tex]\frac{4}{3} \pi r^3[/tex]

Hence the correct option is B) sphere.

To learn more about Volume refer the below link

https://brainly.com/question/14197390

#SPJ1

The number of mulch sold is 108 pounds, and the number of gravel sold is 72 pounds.

The number of each item sold is calculated as follows;

The number of gravel found in mulch sold is calculated as;

( 2 ¹/₄ ) / ( 1 ¹/₂ ) = ( 2.25 ) / ( 1.5 ) = 1.5

mulch = 1.5 gravel

let the number of gravel = x

1.5x + x = 180

2.5x = 180

x = 180 / 2.5

x = 72

The number of mulch = 1.5 x 72 = 108

Learn more about gravel and mulch here: https://brainly.com/question/13674561

#SPJ1

The data are found to be normally distributed with a mean of 5.82 and a standard deviation of 1.43. The answer will be the later. 90.62% 

To find the percentage of first names with 7 letters or less, we need to use the Z-score formula to determine how many standard deviations the value 7 is from the mean.

Z = (7 - 5.82) / 1.43

The Z-score indicates how many standard deviations the value 7 is from the mean. A positive z-score indicates a value above the average, and a negative z-score indicates a value below the average.

A Z-score table or calculator can then be used with the standard normal distribution function to find the cumulative probability to which the Z-score compare. This cumulative probability is the percentage of data values ​​that are 7 or less. In this case, Z = 1.36 and the cumulative probability is approximately 0.9062. This means that about 90.62% of given names are seven letters or less of him. So the answer will be the later. 90.62% 

To know more about percentage visit:

https://brainly.com/question/29014288

#SPJ1

Answer:

Q=70

Step-by-step explanation:

（180-40）/2=70

Answer:

is that 70°

if it is then Q=70

Step-by-step explanation:

because an equilateral angles are the same

The charge to wrap the small gift is $3 and the charge to wrap the large gift is $10.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, a local service organization is wrapping gifts at the mall to raise money for charity.

Let the charge for wrapping small gift be x and the charge for wrapping large gift be y.

Yesterday, they wrapped 39 small gifts and 16 large gifts, earning a total of $277.

39x+16y=277 ------(I)

Today, they wrapped 35 small gifts and 42 large gifts, and earned $525.

35x+42y=525

5x+6y=75 ------(II)

Multiply equation (I) by 3, we get

117x+48y=831 ------(III)

Multiply equation (II) by 8, we get

40x+48y=600 ------(IV)

Now, subtract equation (IV) from the equation (III), we get

117x+48y-(40x+48y)=831-600

77x=231

x=231/77

x=3

Substitute x=3 in equation (II), we get

5(3)+6y=75

6y=60

y=10

Therefore, the charge to wrap the small gift is $3 and the charge to wrap the large gift is $10.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

1/3 is the fraction of the flags are either indigo or green

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Of the flags in Nate's Flag Shop, 1/4 are indigo and another 1/12 are green.

P(I)=1/4

P(G)=1/12

Fraction of the flags are either indigo or green

P(IUG)=P(I)+P(G)

=1/4+1/12

=3+1/12

=4/12

=1/3

Hence, 1/3 is the fraction of the flags are either indigo or green

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

The value of x in the given right triangle is 4.58

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given is a right triangle, with an acute angle of 74° and sides 16 and x,

Considering the 74° as reference angle,

Using trigonometric ratio,

We know that, the tangent of an angle in a right triangle is the ratio of the hypotenuse to its base,

Therefore,

tan 74° = 16 / x

x = 16 / tan 74°

x = 4.58

Hence, the value of x in the given right triangle is 4.58

Learn more about trigonometric ratio, click;

https://brainly.com/question/25122825

#SPJ1

Step-by-step explanation:

average means the sum of all values divided by a number of values

We can compare atom to the peoples that live, work and control the city.

Given is you were comparing human organisms to cities.

Atom is important for the existence of human body. If the atoms would not be there, the human body would not exist. Similarly, a city exist because of the people living in the city. So, we can compare atom to the peoples that live, work and control the city.

Therefore, we can compare atom to the peoples that live, work and control the city.

To solve more questions on atoms, visit the link below -

https://brainly.com/question/13981855

#SPJ1

Step-by-step explanation:

To find 30% of 60, you can multiply 60 by 0.30.

Here's the calculation:

60 x 0.30 = 18

So, 30% of 60 is 18.

Answer: 48 cups

Step-by-step explanation: The way to scale a recipe by number of servings is to multiply the original amount by the desired serving size and then divide by the original serving size.

The total height obtained in mm is 375.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

The multiplication of whole numbers may be thought of as repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the quantity of the other one, the multiplier. Both numbers can be referred to as factors.

Height of 1 book = 7.5 cm

Total height of five books stacked together,

=5 x (7 cm) + 5 x (5mm)

= 35cm + 25mm

= 35cm + 20mm + 5mm

= 35cm + 2cm + 5mm (10mm = 1cm)

= 37cm 5mm

= 375 mm

Therefore, the total height obtained in mm is 375.

For more such questions on Word multiplication

https://brainly.com/question/6867142

#SPJ4

Given the lengths of the two sides and the angle between them, only one triangle can be created under the given circumstances.

1. Given that angle B is 32.5°, side AB is 37 cm, side AC is 26 cm, etc.

2. Calculate side BC using the Law of Cosines:

BC = (2(AB)(AC)cosB) + (AB)(AC)2

3. Input the values that are known: BC = (37 2 + 26 2 - 2(37)(26)cos32.5°)

4. Condense: BC = (1369 plus 676 minus 1848 cos 32.5 °)

5. Determine BC =. (2095 - 1539.07)

6. Condense: BC = 556.93

7. Determine BC as 23.701 cm.

8. Since the lengths of the two sides and the angle between them are specified, only one triangle can be formed under the current circumstances.

By applying the Law of Cosines, we can determine the length of the third side, BC, given that side AB is 37 cm, side AC is 26 cm, and angle B is 32.5°. In order to perform this, we must first determine the cosine of angle B, which comes out to be 32.5°. Then, we enter this value, together with the lengths of AB and AC, into the Law of Cosines equation to obtain BC.BC = (AB2 + AC2 - 2(AB)(AC)cosB) is the equation. BC is then calculated by plugging in the known variables to obtain (37 + 26 - 2(37)(26)cos32.5°). By condensing this formula, we arrive at BC = (1369 + 676 - 1848cos32.5°). Then, we calculate BC as BC = (2095 - 1539.07), and finally, we simplify to obtain BC = 556.93. Finally, we determine that BC is 23.701 cm. Given the lengths of the two sides and the angle between them.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

There are 840 permutations of the set a, taken 4 at a time.
What is integer ?

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.

A permutation of a set is an arrangement of its elements in a specific order. To find the number of permutations of a set with n elements, taken r at a time, the formula is given by n! / (n - r)!, where n! is the factorial of n.

Given the set a = {x | x is an integer and x^2 < 16}, we can find the elements of the set:

x^2 < 16

x = ±1, ±2, ±3, ±4

So the set a has 8 elements: {-4, -3, -2, -1, 1, 2, 3, 4}.

The number of permutations of a set with 8 elements, taken 4 at a time, is given by 8! / (8 - 4)! = 8! / 4! = 40320 / 24 = 840.

Therefore, there are 840 permutations of the set a, taken 4 at a time.

To learn more about integer visit : brainly.com/question/15276410

#SPJ4