Rewrite the following expression as the product of two binomials. Do not simplify the product.
(x-5)(4x+9) + (2x - 4)(x-5)

Answer:

  4 < s < 20

Step-by-step explanation:

The triangle inequality requires that any side of a triangle must have a length that is between the difference and the sum of the lengths of the other two sides.

For unknown side s, the length must be ...

  (12 -8) < s < (12 +8)

  4 < x < 20

__

Additional comment

The triangle inequality is usually written ...

  a + b > c . . . . . for any assignment a, b, c to side lengths

If s is not the longest side, then we require ...

  s +8 > 12   ⇒   s > 4

If s is the longest side, then we require ...

  8 +12 > s   ⇒   s < 20

__

Some authors write the inequality as ...

  a +b ≥ c

This allows a "triangle" that looks like a line segment. It will have an area of 0. If your curriculum uses this version of the triangle inequality, then the answer to this question will be 4 ≤ s ≤ 20.

Answer:

$750.00

Step-by-step explanation:

The graph seems like you are multiplying hours worked by 15 to get Money Earned so 15 x 50= $750

The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Rodney owes $1,541.05 on his credit card.

His card has an APR of 16.29%, compounded monthly.

Assuming that he makes no payments and no purchases.

He owes after one year will be

Amount = 1541.05 × 1.1629

Amount = 1792.087 ≅ 1792.09

More about the percentage link is given below.

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Answer:

B.

Step-by-step explanation:

$1811.70

Step-by-step explanation:

Let x be the other leg or the base and the first leg is y or the perpendicular. ATQ,

One leg of a right triangle is twice as long as the other leg,

y = 2x

Hypotenuse, H = 5 cm

For a right angled triangle, using Pythagoras theorem,

[tex]H^2=B^2+P^2[/tex]

Putting all the values,

[tex]5^2=x^2+(2x)^2\\\\25=x^2+4x^2\\\\25=5x^2\\\\x^2=5\\\\x=\sqrt{5}\ cm[/tex]

Other leg,

[tex]y=2x\\\\=2\sqrt{5} \ cm[/tex]

Hence, the measure of the shorter leg is [tex]\sqrt{5} \ cm[/tex]

Answer:

50.24

explanation

The diameter of the circle is the length of the square which is =16

using the furmla π r = 3.14×16= 50.24

The median number of runs scored for the data set displayed on  the dot plot is: 6.

Median = the data point that lies at the middle of the data set that are represented on a dot plot.

From the dot plot given, if we count equal number of data points from our right and from our left, the middle value lies at 6.

Therefore, the median number of runs scored for the data set displayed on  the dot plot is: 6.

Learn more about dot plot on:

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Answer:

swap r with a and you have your answer

r = v^2/a

Answer:

20.25 kg

Step-by-step explanation:

Set up a proportion, where x is the number of kg in the barbell

[tex]\frac{1}{0.45}[/tex] = [tex]\frac{45}{x}[/tex]

Cross multiply:

x = 45(0.45)

x = 20.25

So, there are 20.25 kg in the barbell

Answer:

the barbell weighs 20.25 kg

Step-by-step explanation:

It's quite easy to find the answer! All you have to do is multiply .45 kg by 45!

so the equation would be:

0.45 x 45 = 20.25

hope this helps you!! <3

Answer:

I'm sorry but 6n8 are those together?

Answer:

8

Step-by-step explanation:

8 *8=64

Answer:

X=8

Step-by-step explanation:

1. Just find the square root of 64, it is 8

2. why? because finding the square root is the opposite of using the 2nd power.

3. you got the answer, it is 8

you can confirm it by using the 2nd power on 8

Answer: 19/20000000

Step-by-step explanation:

Answer:

[tex]10^{6}[/tex] 1000000

Step-by-step explanation:

that was the correct answer for me but also, You need to move the decimal point of how many zeros there are and the number is 1.35 if you take from where the decimal point is originally and count how many spaces? there is in between each zero it would be 6. :) Btw sorry this is like late 4 weeks ago but hope i helped.

Answer:

No

Step-by-step explanation:

17 million containers each of 6m length.

The total length of all containers when placed linearly = 17×10^6 × 6 = 102 × 10^6 m

= 102 × 10^3 km

= 102000 km < 380000km

They won't reach the Moooon.

Answer:

4:24

Step-by-step explanation:

The ratio of the number of students who bike to school to the number of students that do not bike to school is 1:6.

The ratio is the division of the two numbers.

For example, 20/5 is the ratio while x ∝ 10 is the proportion.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

Total number of students = 28

Number of students that bike to school = 4

So,

A number of students that do not bike to school = Total number of students - Number of students that bike to school.

Number of students that not bike to school = 28 - 4 = 24

So, the ratio of the number of students that bike to school to the number of students that do not bike to school = 4/24 = 1/6.

Hence, The ratio of the number of students that bike to school to the number of students that do not bike to school is 1: 6.

For more information about ratio and proportion

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Answer:

vote red and saw him vent

Step-by-step explanation:

????

Answer:

(1) La traducción algebraica de la oración es [tex]z = 3\cdot x - y[/tex].

(2) La traducción algebraica de la oración es [tex]z=x+3\cdot (y-5)[/tex].

(3) La traducción algebraica de la oración es [tex]z = \frac{2\cdot +10}{5}[/tex].

(4) La traducción algebraca de la oración es [tex]z = 7\cdot x -2[/tex].

(5) La traducción algebraica de la oración es [tex]\frac{x}{3} = 18[/tex].

(6) La traducción algebraica de la oración es [tex]x =2\cdot (y+3)[/tex], [tex]x+y = 30[/tex].

Step-by-step explanation:

Explicamos el procedimiento de este ejercicio a continuación:

1) Leer cuidadosamente la oración.

2) Ir traduciendo a términos algebraico a medida que se avanza en la lectura.

(1) Presentamos el desarrollo y la conclusión de este caso:

(i) La diferencia:

[tex]z = (\,\,\,\,)-(\,\,\,\,)[/tex]

(ii) La diferencia del triple de un número y:

[tex]z = 3\cdot x - (\,\,\,\,)[/tex]

(iii) La diferencia del triple de un número y otro:

[tex]z = 3\cdot x - y[/tex]

La traducción algebraica de la oración es [tex]z = 3\cdot x - y[/tex].

(2) Presentamos el desarrollo y la conclusión de este caso:

(i) La suma:

[tex]z = (\,\,\,\,)+(\,\,\,\,)[/tex]

(ii) La suma de un número y:

[tex]z = x +(\,\,\,\,)[/tex]

(iii) La suma de un número y con el triple de:

[tex]z = x + 3\cdot (\,\,\,\,)[/tex]

(iv) La suma de un número y con el triple de la diferencia de otro y cinco:

[tex]z=x+3\cdot (y-5)[/tex]

La traducción algebraica de la oración es [tex]z=x+3\cdot (y-5)[/tex].

(3) Presentamos el desarrollo y la conclusión de este caso:

(i) La quinta parte de:

[tex]z = \frac{(\,\,\,\,)}{5}[/tex]

(ii) La quinta parte de la adición del doble de un número con diez:

[tex]z = \frac{2\cdot +10}{5}[/tex]

La traducción algebraica de la oración es [tex]z = \frac{2\cdot +10}{5}[/tex].

(4) Presentamos el desarrollo y la conclusión de este caso:

(i) El producto de:

[tex]z = (\,\,\,\,)\cdot(\,\,\,\,)[/tex]

(ii) El producto de un número por siete,:

[tex]z = 7\cdot x[/tex]

(iii) El producto de un número por siete, disminuido en dos:

[tex]z = 7\cdot x -2[/tex]

La traducción algebraca de la oración es [tex]z = 7\cdot x -2[/tex].

(5) Presentamos el desarrollo y la conclusión de este caso:

(i) El cociente de:

[tex]z = \frac{(\,\,\,\,)}{(\,\,\,\,)}[/tex]

(ii) El cociente de un número y 3:

[tex]z = \frac{x}{3}[/tex]

(iii) El cociente de un número y 3 es igual a 18:

[tex]z = 18[/tex]

[tex]\frac{x}{3} = 18[/tex]

La traducción algebraica de la oración es [tex]\frac{x}{3} = 18[/tex].

(6) Presentamos el desarrollo y la conclusión de este caso:

(i) La edad de Esteban:

[tex]x[/tex]

(ii) La edad de Esteban es el doble de:

[tex]x = 2\cdot (\,\,\,\,)[/tex]

(iii) La edad de Esteban es el doble de la de su hermano Martín aumentada en 3:

[tex]x =2\cdot (y+3)[/tex]

(iv) La edad de Esteban es el doble de la de su hermano Martín aumentada en 3. La suma de las edades de Esteban y Martin es 30 años:

[tex]x =2\cdot (y+3)[/tex]

[tex]x+y = 30[/tex]

La traducción algebraica de la oración es [tex]x =2\cdot (y+3)[/tex], [tex]x+y = 30[/tex].

Answer: 1 1/4

Step-by-step explanation:

Answer:

The correct answer is D.

Answer:

7

Step-by-step explanation:

First use the (a-b) and (a+b) = a^2 - b^2 which is equal to 25 - 9 x 2

then you multiply 9 x 2 which is 18 so 25 - 18 thus 7. The trick is to remember the rules.

Answer: 590.98217751

Step-by-step explanation:

32,400(1+0.05)^8

32,400(1.05)^8

590.98217751

Answer:

47,870

Step-by-step explanation:

Plug in 32,400 page views for the initial amount, 0.05 for the rate of increase, and 8 months for the time elapsed.

y

= a(1+r)t

y

= 32,400(1+0.05)8 Plug in values

y

= 32,400(1.05)8 Add

y

= 32,400(1.47745…) Simplify

y

= 47,869.55637… Multiply

Round to the nearest whole number.

47,869.55637… → 47,870

To the nearest whole number, Isaac can expect 47,870 page views.

Answer:

the answer is b 2/3

Step-by-step explanation:

......................

Answer:

no they lack a common scale factor........

Answer: 4 ÷ 0.96 = 4.16666666667

Step-by-step explanation:

Answer:

[tex]4.166[/tex]

[tex]rounded[/tex] [tex]to[/tex] [tex]3[/tex] [tex]places[/tex] [tex]also[/tex] [tex]known[/tex] [tex]as[/tex] [tex]thousandths[/tex][tex].[/tex]

Answer:

the denominator can be 20 or 40.

Step-by-step explanation:

If the fractions are 3/4 and 6/5

The sum will be (15 +24)/20=39/20.

Answer:

Local governments in several states impose a local income tax. Local taxes are in addition to federal and state income taxes. Local income taxes generally apply to people who live or work in the locality. As an employer, you need to pay attention to local taxes where your employees work.

If the local income tax is a withholding tax, then you are required to withhold it from employee wages. Or if the local income tax is an employer tax, you must pay it.

Local income taxes are typically used to fund local programs, such as education, parks, and community improvement.

Answer:

Step-by-step explanation:

the question is incomplete :(

Answer:

[tex]\left[\begin{array}{cccc}1&3&4&5\&3&1&5&6\end{array}\right][/tex]

The only ones are on the "diagonal", where i = j. Else the position is simply the sum.

Answer:

5. [tex]\displaystyle 0[/tex]

4. [tex]\displaystyle 5[/tex]

3. [tex]\displaystyle \frac{1}{1000000000}[/tex]

2. [tex]\displaystyle 1[/tex]

1. [tex]\displaystyle \frac{1}{7}[/tex]

Step-by-step explanations:

4. [tex]\displaystyle \boxed{5} = 5[xy]^0[/tex]

3. [tex]\displaystyle \boxed{\frac{1}{1000000000}} = 10^{-9}[/tex]

2. [tex]\displaystyle \boxed{1} = [14abc]^0[/tex]

1. [tex]\displaystyle \boxed{\frac{1}{7}} = 7^{-1}[/tex]

For exercises four and two, any exponent set to zero will automatically be one, but PAY CLOCE ATTENTION to which part of the expression is being associated.

For exercise three, multiply ten nine times [one billion], then take the multiplicative inverce of it [negative exponent].

For exercise one, you simply take the multiplicative inverce of the whole number provided.

Exercise five is self-explanatory, so you should know what occurs there.

I am joyous to assist you at any time.

The expression of the given indices into non-zero and non-negative exponents are [tex]\mathbf{7^{-1} = \dfrac{1}{7}}[/tex]. See below for the remaining solution.

Exponents are numbers written as a power of a given number called (base). So, if we have [tex]\mathbf{a^b}[/tex], a is the base and b is the exponent.

The expression of the given indices into non zero and non-negative exponents is as follows:

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