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Point M is located at 1.2 x 10-6. Plot Point M on the number line below

Step-by-step explanation:

x = -2 and x = -5

x + 2 = 0 and x + 5 = 0

(x + 2)(x + 5) = 0

x² + 5x + 2x + 10 = 0

x² + 7x + 10 = 0

Option → B

Answer:

True

Step-by-step explanation:

Answer:

Total budget this year = $ 2000 more than last year. Let x = Budget for this year. Money on entertainment = 0.06x = 2760. ⇒ Budget for this ...

Step-by-step explanation:

Answer:  1.323x10^-2  

Step-by-step explanation:

21*(6.3x10^-4) = 1.323x10^-2

Answer:

The numbers can be 2,4,6,8,0

Step-by-step explanation:

Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.

Hoped this helped.

The speed of the car is 41.7 m/s when the power is 1890 watts.

Proportion is defined as an equation on which two or more ratios are made to be equal to each other.

It is given that the power, P is proportional to square of the Speed,s.

If P ∝ s², then P = k s², for some constant k.

When s = 45 m/s, P = 2200 watts

k = P / s² = 2200 / 45² = 1.086

∴ when P = 1890 watts,

1890 = 1.086 × s²

s² = 1740.331

s = 41.717 ≈ 41.7 m/s

Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.

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Answer:  -(3/10)

Step-by-step explanation:

7/10=r-(-8/9)

(7/10)=r+(8/9)

(7/10)-(8/9)=r

  r =(7/10)-(8/9)

  r =(7/10)*(9/9)-(8/9)*(10/10)    [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]

  r =(63/90)-(80/90)

 r = -(27/90)  or -(3/10)

Quotient:

[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]

Remainder:

[tex]f(x) = 9x^2+68x+35[/tex]

By the remainder theorem,

[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]

Which is the remainder when f(x) is divided by (x+7)

Answer:

A. 4(x + 3) = 4x - 8.

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

289-16= 273

273/7= 39

Hope this helps! :)

Answer:

$39

Step-by-step explanation:

let b = cost of each book

289 - 7b = 16

-7b = -273

b = 39

Answer:

Step-by-step explanation:

(450 miles/3 inches) = 150 miles/inch

(1,250 miles)/(150 miles/inch) = 8.3333 inches

When the actual distance between two cities is 1350 miles the distance between the same cities on the map is 9 inches.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

On scale 3 inches represents the actual distance = 450 miles.

To find the distance on scale when actual distance = 1350

Since, 3 inches = 450 miles

1 inch = 450 / 3 = 150 miles

150 miles = 1 inches

1 mile =  / 1/ 150 inches

1350 miles = 1350 / 150 inches = 9 inches

The required distance on scale is 9 inches.

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Answer:

12.5% as a fraction is written as 25/2

Step-by-step explanation:

step 1; write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the numbers of zeros vital or require according.

step in this case 12.5 has one number after the decimal number so we place 10 in the denominator and remove the decimal point. this will make it 125/10.

step 2: then , this fraction can be simplified. 125/10=(125÷5)/(10÷5) =25/2

Answer:

3s+10s+10s+3s=9+3+3+9

26s=24

s=26+24

s=50 cm

Answer:

gud luk 4 class

Step-by-step explanation:

volume = all the sides times together

surface area = all side's area plus together

Answer:

65.1mm

Step-by-step explanation:

(4*3+4*3+5.7*3/2)*2

(12+12+8.55)*2

32.55*2

65.1mm

Answer: Leah made more money by 1,996 dollars more than Gemma,

Step-by-step explanation: 1484 is how much Gemma made and 3480 is how much Leah made all you had to do is multiply the total amount of necklaces they sold and the price of each so Leah made more money by 1996 dollars

Answer:

the formula for finding the perimeter of a rectangle is P=2L+2W

an example of how to find the perimeter is

Explanation:

For a rectangle, its perimeter is the sum of all for sides.

The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.

54=20+20+S+S

Simplify

54=40+2S

Solve for S

14=2S

S=7

Step-by-step explanation:

Answer:

x=-13

Step-by-step explanation:

Subtract 22 from both sides.

-5x=67-2

Simplify  67-2 to  65.

-5x=65  

3 Divide both sides by -5.

[tex]x=-\frac{65}{5}[/tex]

​

Simplify [tex]\frac{65}{5}[/tex] to 13.

x=−13

Answer:

4/7

Step-by-step explanation:

6 -2/2+5 = 4/7

thats it simple

Answer: 10

Step-by-step explanation:

6-x/x+5

6-(2)/(2)+5

Order of Operations

6-1+5

5+5

10

Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.

Let y represent the total renting fee for x hours.

Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Hence:

y = 17.5x + 20

Sun'N'Fun charges $15.00 per hour plus a $30 fuel fee. Hence:

y = 15x + 30

For Sun'N'Fun to be cheaper than Wavy Dave's:

15x + 30 < 17.5x + 20

10 < 2.5x

4 < x

x > 4

Hence,  Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.

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Answer:

Step-by-step explanation:

1.)  [tex]c = \sqrt{a^{2} +b^{2} }[/tex]

a = 10, b = 7, c = x?

10+7= x

[tex]10^{2} + 7^{2} =x^{2}[/tex]

100 + 49 = [tex]x^{2}[/tex]

149 = [tex]x^{2}[/tex]

[tex]\sqrt{149} =[/tex] 12.206...

x = 12.2

2.) x + 19 = 21

[tex]x^{2} + 19^{2} =21^{2}\\21^{2}-19^{2} = x^{2}[/tex]

441 - 361 = [tex]x^{2}[/tex]

80 = [tex]x^{2}[/tex]

[tex]\sqrt{80}[/tex] = 8.94

x = 9

3.) x + 16 = 27

[tex]x^{2} + 16^{2}= 27^{2} \\27^{2} -16^{2} =x^{2}[/tex]

729 - 256 = [tex]x^{2}[/tex]

473 = [tex]x^{2}[/tex]

[tex]\sqrt{473}[/tex] = 21.74

x = 21.7

4.) 12.8 + 5.3 = x

[tex]12.8^{2} + 5.3^{2} =x^{2} \\163.84 + 28.09 = x^{2}\\191.93 = x^{2} \\\sqrt{191.93} = 13.85\\x = 13.9[/tex]

8.) x = 11.48 ft

a = 3.5 ft , b = x=? , c = 12 ft

[tex]3.5^{2} + x^{2} =12^{2} \\12.25 +x^{2} =144\\144-12.25=x^{2} \\131.75 = x^{2} \\\sqrt{131.75} =11.48\\x = 11.48[/tex]

9.) x = 32.078 feet

[tex]14^{2} +x^{2} =35^{2}\\196 + x^{2} =1225\\1029 = x^{2} \\\sqrt{1029} = 32.078 ft\\x = 32.078 ft\\[/tex]

10.) perimeter = 31.96

hope this helped a lot

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Answer:

35, 43

Step-by-step explanation:

The pattern is that to obtain a term in the sequence , add 8 to the previous term, then

27 + 8 = 35

35 + 8 = 43

35 and 43 are the next 2 terms in the sequence

Answer:

35,43

Step-by-step explanation:

add 8 k so ya but ya and so on

Answer: C: pi/6 and 11pi/6 only

Step-by-step explanation:

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