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Answer:

-6, -5, -1

Step-by-step explanation:

Based on the question, (x+6) is a factor of f(x).

With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.

You'll get x²+6x+5 as a result.

Factorise it and you'll get

x²+6x+5 = (x+1)(x+5)

Then let (x+1)(x+5) = 0, x = -1, -5

Zero's of f(x) are -6, -5 -1

[tex]\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5[/tex]

Answer:

C:0.09

Step-by-step explanation:

probability of winning nothing = 0.72 = [tex]\frac{72}{100}[/tex]

probability of winning a small stuffed animal = 0.19 = [tex]\frac{19}{100}[/tex]

probability of winning nothing + probability of winning a stuffed animal

= [tex]\frac{72}{100}[/tex] + [tex]\frac{19}{100}[/tex] = [tex]\frac{91}{100}[/tex]

probability of winning an inflatable crayon = 1 -  [tex]\frac{91}{100}[/tex]

                                                                      = [tex]\frac{100}{100}[/tex] -  [tex]\frac{91}{100}[/tex]

                                                                      = [tex]\frac{9}{100}[/tex]

                                                                      = 0.09

Length= 14inches and breadth= 10inches

We know, Perimeter of rectangle= 2(Length+Breadth)

[tex]2(14 + 10) \\ = 2 \times 24 \\ = 48 \: \text{inches}[/tex]

We know, Area of rectangle= Length × Breadth

[tex]14 \times 10 \\ = 140 \: \text{in} ^{2}[/tex]

Answer:

Distance, rate and time problems are a standard application of linear equations. When solving these problems, use the relationship rate (speed or velocity) times time equals distance.

Explanation:

For example, suppose a person were to travel 30 km/h for 4 h. To find the total distance, multiply rate times time or (30km/h)(4h) = 120 km.

The problems to be solved here will have a few more steps than described above. So to keep the information in the problem organized,  use a table. An example of the basic structure of the table is below:

Answer:

x = 90

Step-by-step explanation:

If the line is straight.

Angles on a straight line add up to 180

2x = 180

x = 90

Answer:

The question is not showing what we are supposed to find.

b+3b+10

Answer:

9:15 PM

Step-by-step explanation:

1 hour and 40 minutes after 7:35 is 9:15

Answer:

₹9900

Explanation:

Total sold : (41 + 59) = 100 watermelons

Amount earned : 100 * 99 = ₹9900

#Thursday

Money earned=41(99)

#Friday

Money earned

Total:-

5841+4059=$9900

The file size sent in kilobytes was converted to bytes, the 4 kilobytes is equivalent to 80 bytes

Given Data

We are told that 1 kilobytes = is equivalent to 20 bytes

hence 4 kilobytes will be equivalent to x bytes

cross multiplying we have

4*20 = x

x = 80 bytes

Therefore, the file size is 80 bytes

Learn more about unit conversion here:

https://brainly.com/question/13016491

Using an arithmetic sequence, it is found that the clock chimes 132 times in a 24-h period.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

The sum of the first n terms is given by:

[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]

In this problem, as the day is divided in two 12-hours period, the total will be twice the sum of the 12 elements of the following sequence:

{0, 1, 2, 3, ..., 11}

In which [tex]a_1 = 0, a_11 = 11, n = 12[/tex].

Then:

[tex]T = 2\frac{12(0 + 11)}{2} = 12 \times 11 = 132[/tex]

The clock chimes 132 times in a 24-h period.

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

Answer:

78.5 units²

Step-by-step explanation:

First, we need to plot the center point of the circle. (Shown in image). Once we plotted the center point, we need to count how many units is the radius away from the boundary.

Note: I have marked each unit by a "red point". Simply, count the number of "red points" to determine the radius.

We can substitute the radius in the "area of circle" formula to determine the area. Keep in mind that pie is represented as 3.14.

Now, let's evaluate the area by simplifying the expression. Keep in mind that pie is represented as 3.14.

Answer:

Step-by-step explanation:

Make the x-values same and solve for m

Let's see

x must be equal on both sides as it's not a function

Answer:

Circumference of a cicle in terms of radius:

Circumference = 2·π·r = 2·3.14·3 = 18.85(*)

In terms of diameter:

Circumference = π·d = 3.14·6 = 18.84(*)

In terms of area:

Circumference C = √4·π·A = √4·π·28.27 =18.85

Step-by-step explanation:

radius= 3in.

the circumference of the circle.

formula C=2πr

=2·π·3

≈18.84956in

nearest hundredth= 18.85in

Answer:

x=238 plus 0

Step-by-step explanation:

think

Answer:

Step-by-step explanation:

Use a slope formula.

Slope formula:

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]

y2=2

y1=6

x2=13

x1=1

Rewrite the problem.

[tex]\sf{\dfrac{2-6}{13-1}=\dfrac{-8}{12}=\dfrac{-8\div4}{12\div4}=\dfrac{-2}{3}=\boxed{\sf{-\dfrac{2}{3}}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer: 10 feet

The ratios:

1 inch : 2 feet

5 inch : x feet

Finding x:

1 * 5 = 5

2 * 5 = 10

             The real robot would be 10 feet tall.

Answer:

10 inches

Step-by-step explanation:

because 1 in= 2 ft
we can multiply 5 by 2 which is 10

your answer is 10 ft tall.

Answer:

5 years

Step-by-step explanation:

Answer:

y=y

Step-by-step explanation:

y=y because y has the same value as y

The cost-savings if the Yert Family chooses the cheaper company is: $450.50

First, we determine the cost of the service of each company. Comparing that will give us an idea of the company whose service is cheaper.

Second, we subtract the lower sum from the higher. This gives us the cost savings by the Yert Family.

Step 1

Expressing the payment plan for Green Lawns, we have:

First week= $2
Second week = (2 + (2*0.85) )  = 3.7

Third week= (3.7 + (2*0.85) ) = 5.4

Using the above cumulative method, we arrive at the series of payments due per week

The series of payment are given as follows:
2 + 3.7 + 5.4+7.1+8.8+10.5+12.2+13.9+15.6+17.3+19+20.7+22.4+24.1+25.8+27.5+29.2+30.9+32.6+34.3+36.0+37.7+39.4+41.1+42.8+44.5+46.2+47.9+49.6

= $799.50

Step 2

Expressing the payment plan for Green Thumbs, we have:

350 + (30*30) = $1,250

Step 3

Hence (assuming they go for Green Lawns) the cost savings will be:

$1,250.00 - $799.50 = $450.50

Learn more about Cost-Saving exercises at:
https://brainly.com/question/910760

Answer:

I guess D. the sum of 9 multiplied by some number plus 7

Answer:

  2.37×10^-11 milliliters

Step-by-step explanation:

The exponential model for decay is ...

  y = a·b^x

where 'a' is the initial value, 'b' is the decay factor, and x is the number of intervals over which the decay is taking place.

__

Here, you're given an initial value of a=500 mL.

The decay factor is 1 more than the decay rate, so is ...

  b = 1 -12% = 0.88

We are asked for the remaining amount after 240 intervals (breaths), so that will be ...

  y = 500·0.88^x

  y = 500·0.88^240 ≈ 2.37×10^-11 . . . . milliliters

__

Additional comment

That's about 640 million molecules of air--not very much. After 400 breaths, there is about 1 molecule of the original air remaining.

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{12 - 3}{12} [/tex]

[tex] \frac{9}{3} [/tex]

cross out the common factor.

[tex] \frac{3}{4} [/tex]

Answer:

9/12 (or 3/4)

Step-by-step explanation:

If you subtract the number of brownies that Brittany's brother will eat, you will have 9 remaining brownies. So, that means 9 out of the original 12 brownies will be left, or 9/12. Also, you can simplify the fraction. Both 9 and 12 can be divided by 3.

9/12 divided by 3/3 equals 3/4. 3/4 is the fraction in it's simplest form.

So, 9/12 (or 3/4) of the brownies are left.

I hope this helps! Have a lovely day!! :)

Answer:

£13,110.49

Step-by-step explanation:

(A) = P( 1 + r/n) ^nt

P(Principal) = £200 000

r(interest rate) = 1.6% = 0.016

The total amount been saved after 4 years is calculated as:

A = P( 1 + r/n) ^ nt

A = £200,000( 1 + 0.016/1)¹× ⁴

A =  £200,000(1.016)⁴

A =  £213,110.48991

A = £ 213,110.49

Claire will get approximately £ 213,110.49 within 4 years.

Answer:

7

Step-by-step explanation:

As it is a RIGHT triangle, the formula is a^2+b^2=c^2.

We are given one leg and the hypotenuse. That means 4^2x2+b^2=81.

To find 4 root 2 square, you square them individually then multiply.

4^2=16 times 2 (root 2 squared is 2).

Simplified, that gives 16x2=32,

81-32=49.

The last leg is seven.

Answer:

The total number of students that voted is 25.

Step-by-step explanation:

18 students = 72% of the students who voted

Divide the percentage of students by 100.

72% ÷ 100 = 0.72%

Then, divide 18 by 0.72%.

18 ÷ 0.72% = 25

So, the total number of students that voted is 25 students.

Hope this helped !

The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

The equation of a straight line whose slope and y-intercept are given. Suppose a non-vertical line has a gradient or slope of m and y-intercept equal to c. Let (x, y) be any point on the line and a line intersect the y-axis at the point (0, c).

 y = mx + c

Using the slope-intercept form (y = mx + b) to find the function of the graph,

B = -100/5t + 500

Or  B = -20t + 500.

After 1 hr or t = 1 Demi earns B = 50(1) or $50 teaching

After 1 hr or t = 1 Demi spends B = -20(1)

-$20 on spin class.

If it’s asking just the rate of increase or decrease, the slope of 50t is greater than the slope of -20t.

Thus, The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

Learn more about slope;

https://brainly.com/question/3605446

Answer:

1.65°

2.115°

3.132°

4.48°

5.67

MARK A BRAINLESS THIS ANSWER

Answer:

61 degrees

Step-by-step explanation:

The THREE angles in the diagram sum to 180 degrees ( straight line = flat wall)

3x+1     +   58   +   4x-19     = 180

solve for x = 20     then A = 3x+1 = 61 degrees

Answer:

426

Step-by-step explanation:

To determine how to round up or down, we look at the place after the one we want to round to. In this case, we look at the tenths place.

If the tenths place is [tex]\geq 5[/tex] then you round up, and if it is [tex]\leq 4[/tex] you round down.

We see that the number is five and we round up to 426