what is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6

Answer:

[tex]\boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

The difference of two cubes formula is given as:

[tex]a^3-b^3 =(a-b)(a^2 +ab+b^2)[/tex]

Step-by-step explanation:

[tex] {(a - b)}^{3} = {(a - b)}^{2} (a - b)[/tex]

[tex] {a}^{3} - 3{a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{2} (a - b)[/tex]

[tex] {a}^{3} - {b}^{3} + 3ab(a - b)= {(a - b)}^{2} (a - b)[/tex]

[tex] {a}^{3} - {b}^{3}= {(a - b)}^{2} (a - b) + 3ab(a - b)[/tex]

[tex] {a}^{3} - {b}^{3} = (a - b)(( {a}^{2} - 2ab + {b}^{2} ) - 3ab)[/tex]

[tex] {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )[/tex]

Hi there! Hopefully this helps!

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"Two more than five times a number x.​" means:

2 + 5 × x

Answer:

13/50

Step-by-step explanation:

#of original states/# of states now

The fraction of the states are original states is [tex]\frac{13}{50}[/tex].

A  numerical value that expresses a part of a whole is called a fraction.

According to the given question.

Number of original states before = 13

Number of original states now = 50

Therefore, the fraction of original states

= number of original states before/ number of original states now

=[tex]\frac{13}{50}[/tex]

Hence, the fraction of the states are original states is [tex]\frac{13}{50}[/tex].

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Answer:

B

Step-by-step explanation:

The two angles are alternate interior angles. The have to be equal.

7x + 15 = 148                     Subtract 15 from both sides

7x = 148 - 15

7x = 133                             Divide by 7

x = 133/7

x = 19

B

Answer:

0.5% error

Step-by-step explanation:

We can use the percentage error formula, which is

[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].

We know that the approximated value was 8.04, however it is actually 8cm, so we can substitute inside the equation.

[tex]\frac{|8.04 - 8|}{8}\cdot100 \\\\\frac{0.04}{8}\cdot100 \\\\0.005\cdot100 \\\\0.5[/tex]

Hope this helped!

Answer:

32.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -6 and common difference 2.

an = a1 + d(n - 1)

a20 = -6 + 2(20-1) = 32

Answer:

[tex]f(x) = x^{2}\cdot (x^{2}+9)\cdot (x^{3}+2\cdot x)[/tex] is an odd function.

Step-by-step explanation:

Let be [tex]f(x) = x^{2}\cdot (x^{2}+9)\cdot (x^{3}+2\cdot x)[/tex], by Algebra this expression can be rewritten as:

[tex]f(x) = x^{3}\cdot (x^{2}+9)\cdot (x^{2}+2)[/tex]

Where [tex]x^{2} + 9[/tex] and [tex]x^{2}+ 2[/tex] are even functions, because they satisfy the condition that [tex]g(x) = g(-x)[/tex], whereas [tex]x^{3}[/tex] is an odd function, as the condition of [tex]h(-x) = - h(x)[/tex] is observed. Then, the overall function is odd.

Answer:

below

Step-by-step explanation:

Use the formula πr^2h to find volume of a cylinder

= π(11)^2(12)

= 4561.59253...

Rounding to the nearest 10th

= 4561.6 mi^3

Hope this helps!

Answer:

Step-by-step explanation:

Volume = pi * r^2 * h

r = 11

h = 12

Volume = pi * 11^2 * 12

Volume = 3.14 * 121 * 12

Volume = 4501.2 mi^3

Step-by-step explanation:

3(2x+1) in this factorize 4 is common .so the answer is 3(2x+1)

Answer:

5+ 2x

Step-by-step explanation:

lets say x is our variable therefore you will multiply 2 to x and then it says 5 more the key word is more therefore you add 5 to your equation

jhnskkakskjsmznznsnjismkznms

The correct representation is (5-2)÷n

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

According to the question

2 less than 5 = 5-2

then the answer must be divided by n

=( 5-2)/n

Hence, the correct representation is (5-2)÷n.

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Answer:

At   90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)

Step-by-step explanation:

Given that:

sample size n =43

sample mean x = 774.3

standard deviation = 15.4

confidence interval = 90%

At C.I of  90% , the level of significance ∝ = 1 - C.I

the level of significance ∝ = 1 - 0.90

the level of significance ∝ = 0.10

The critical  value for z at this level of significance is [tex]z_{\alpha/2} = z_{0.10/2}[/tex]

[tex]z_{0.05}[/tex] = 1.64

The margin of error can be computed as follows:

Margin of error = [tex]\mathtt{z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}[/tex]

Margin of error =  [tex]\mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}[/tex]

Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{6.5574}}[/tex]

Margin of error  = [tex]\mathtt{1.64 \times2.3485}[/tex]

Margin of error = 3.8515

The mean breaking weight  for the 90% confidence interval is = [tex]\mathtt{\overline x \pm E < \mu }[/tex]

=  [tex]\mathtt{\overline x - E < \mu < \overline x + E}[/tex]

= ( 774.3 - 3.8515  < μ < 774.3 + 3.8515 )

= (770.4485, 778.1515)

[tex]\simeq[/tex] (770.45, 778.15)

Answer:

Anthropologists study human societies and cultures and the development of them from the past and present. They study this to analyze the differences and evolutions that us as humans have.

Answer: "B. [tex]12p^6q^5[/tex]

Step-by-step explanation:

The given monomial : [tex]6a^2b^8c[/tex]

Degree of this monomial = Sum of powers of variables=2+8+1= 11

Let's check all the options

A   [tex]18t^8[/tex]

Degree = 8

B [tex]12p^6q^5[/tex]

Degree = 6+5 =11

C [tex]9a^5b^3c^2[/tex]

Degree = 5+3+2=10

D [tex]6w^4x^2y^3z^3[/tex]

Degree =4+2+3+3=12

We can see that only option B has degree 11.

So, the monomial has the same degree as [tex]6a^2b^8c[/tex] is "B. [tex]12p^6q^5[/tex] "

hope this helps you alot

Answer:

y=(5/6)x-6

Step-by-step explanation:

The slope intercept form of a line is y=mx+c. The equation of the line will be y=(5/6)x-6

Answer:

z=-3

Step-by-step explanation:

z=(-3)^2 - 3(4)

z=9 - 12

z=-3

Answer:

D. 20

Step-by-step explanation:

since the given shape is a parallelogram the parallel sides' length must be equal:

2x-10 = x+30

2x-x = 30+10

x = 40

2y-10 = y+10

2y-y = 10+10

y = 20

since z = x - y

z = 40-20

z = 20

Answer:

Tuesday

Step-by-step explanation:

364/7 = 52, meaning that 364 days later will also be a Sunday. 2 days after that (366 as it is a leap year) would be a Tuesday.

There will be Tuesday when the dog jumps the next year.

the process of applying logical reasoning to examine a situation in order to identify the optimal strategy for solving a specific problem, then using this approach to develop and justify a solution.

Reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Since when the dog jumped it was Sunday

Next Sunday will be at

364/7 = 52

So, after 52 weeks or 364 days, there will be next Sunday.

Since leap year is 366 days years

366 - 364 = 2

So, two days after Sunday is Tuesday.

Hence the day after next year when the dog jump will be Tuesday.

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Answer:

5x( x^2 + 2x +3)

Step-by-step explanation:

5x^3 + 10x^2 + 15x

What is common to all three terms

5 xxx + 5*2*xx + 5*3*x

We can factor out 5x

5x( x^2 + 2x +3)

Inside the parentheses cannot be factored so we are done

Answer:

5x ( x^2 + 2x +3 )

Step-by-step explanation:

First we hv to take the common terms out from all the three terms...

So......

If we take 5x from 5x^3 it will bcm x^2

If we take 5x from 10^2 it will bcm 2x

if we take 5x from 15x^2 it will bcm 3

Therefore the final expression will bcm

5x ( x^2 + 2x +3 )

Hope this helps.....

Answer:

The discount allowed per bag is kshs 4

while the discount allowed on all the 300 bags is kshs 1,200

Step-by-step explanation:

Here, we are interested in calculating the discount allowed on the sales of the bag of maize.

From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.

Now, to find the amount of this, we proceed as follows;

What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.

The discount on each bag of maize would be;

0.2% of kshs 2000

That would be;

0.2/100 * 2,000 = 400/100 = kshs 4

Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200

Answer:

7x = 42

Step-by-step explanation:

"Product" refers to multiplication and "is" refers to equal to.

Hi! I'm happy to help!

This equation will be written like this

x×7=42

To make this easier to solve, we can use the inverse operation, division.

42÷7=x

42 divided by 7 is 6, so the answer is 6.

I hope this was helpful, keep learning! :D

Answer:

Step-by-step explanation:

In order to find the amount Adel paid we use ratio and proportion

3kg of rump steak = £ 42

Therefore

4kg of rump steak = [tex] \frac{4 \times 42}{3} [/tex]

We have the final answer as

Hope this helps you

Answer:

£56

Step-by-step explanation:

since 3kg costs £42

1kg will be £42/3 which will be equal to £14

4kg will cost £14×4 which will be £56

Answer:

C

Step-by-step explanation:

Answer:

<b = 80

<c = 80

Step-by-step explanation:

<b and 100 form a straight line so they add to 180

<b +100 =180

<b = 180-100

<b = 80

angles b and c are vertical angles and vertical angles are equal

<c = <b = 80

No; the date does not suggest causation, and many people who listen to loud music can hear well.

The following information should be considered:

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Answer:

B=(.31, .95)

Step-by-step explanation:

When your at the point (1,0) you are at 0 degrees (cos 0, sen 0) = (1,0).

So at 72 degrees you moved 72 degrees (cos 72, sin 72) = (.31, .95)

Answer:

2 hours and 5 minutes

Step-by-step explanation:

50/40=1.25 km/m

100*1.25=125 minutes

125 minutes= 2.08 hours= 2 hours and 5 minutes

Answer:

Variable terms:

x and y

Constant terms:

7 and -9

Coefficient terms:

-5.6 and 24