Find the value of x so that f(x)=7.

Answer:

x =-5±  2i sqrt(14)

Step-by-step explanation:

x^2 + 10x= -81

Take the coefficient of x and divide by 2

10/2 = 5

Square it

5^2 =25

add to each side

x^2 + 10x+25 = -81+25

( x+5) ^2 = -56

Take the square root of each side

sqrt(( x+5) ^2) =± sqrt(-56)

x+5 = ± sqrt(-1) sqrt(4*14)

x+5 =± i sqrt(4)sqrt(14)

x+5 =± i 2 sqrt(14)

Subtract 5 from each side

x+5-5 =-5± i 2 sqrt(14)

x =-5±  2i sqrt(14)

Answer:

2/3

Step-by-step explanation:

Simplify the following:

3/4 - 1/12

Put 3/4 - 1/12 over the common denominator 12. 3/4 - 1/12 = (3×3)/12 - 1/12:

(3×3)/12 - 1/12

3×3 = 9:

9/12 - 1/12

9/12 - 1/12 = (9 - 1)/12:

(9 - 1)/12

9 - 1 = 8:

8/12

The gcd of 8 and 12 is 4, so 8/12 = (4×2)/(4×3) = 4/4×2/3 = 2/3:

Answer:  2/3

Answer:

.

Step-by-step explanation:

Answer: −1 /3 m+ 10 /9

Step-by-step explanation:

Given parameters:

Distance traveled  = 1778miles

Average speed  = 61.7 miles per hour

Unknown:

Time taken for the travel = ?

Speed is a physical quantity. It is the rate of change of distance with time.

 It can be mathematically expressed as;

           Speed  = [tex]\frac{distance}{time taken}[/tex]

  The unknown here is the time taken;

   Substitute the parameters and solve for it;

      61.7  = [tex]\frac{1778}{ time taken}[/tex]

          time taken  = [tex]\frac{1778}{61.7}[/tex]   = 28.8hrs

The time taken is  28.8hrs

Answer:

the answer for this would be 30 hours.

Step-by-step explanation:

Answer:

9x+17

Step-by-step explanation:

I took the test

Answer:

58464

Step-by-step explanation:

Multiply the two numbers

Answer:

If Steve drives for 812 hours at 72 miles per hour, he drives 58,464 miles in total.(Side Note: if you mean 8 1/2 hours then it's 612 miles

Step-by-step explanation:

To find distance dealing with time and speed, we can use the formula d=rt.

D= Distance

R= Speed

T= Time

Now we plug in our values! D=72 × 812 and we get D= 58,464 miles or if you meant 8 1/2 hours, then it's 612 miles

Hope this helps! :)

Answer:

60 g

Step-by-step explanation:

Use the density formula, D = m/v, where m is the mass and v is volume

Plug in the volume and density, then solve for the mass:

D = m/v

3 = m/20

60 = m

So, the mass is 60 g

Volume of object = 20 mL

Density of object = 3 g/mL

We have to find mass of the object[tex].[/tex]

★ Density is defined as the mass of object per unit volume.

It is a scar quantity having only magnitude.

Mathematically, ρ = M/V

By substituting the values, we get

⭆ 3 = M/20

⭆ M = 3 × 20

⭆ M = 60 g

∴ Mass of the object is 60g.

Answer:

so im in a rush but to get this answer you need to sub those variables and then the first step would be the multiplication prop of inequality

Step-by-step explanation:

Answer:

11370  sachet

Step-by-step explanation:

Answer:

11370 sachets

Step-by-step explanation:

Given parameters:

 Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L

Unknown:

Number of sachet of pure water needed to fill a barrel of 5685liters + /

Solution;

To find the number of sachet;

  500 x 10⁻³L will fill one sachet of pure water;

For 5685 liters, we would require  y sachet of pure water ;

    500 x 10⁻³y  = 5685

         0.5y = 5685

               y = [tex]\frac{5685}{0.5}[/tex]  = 11370 sachets

Answer:

[tex]\left \{ {{x=2+3\cos t} \atop {y\:=-1+3\sin t}} \right. => \pi \leq t \leq 5\pi[/tex]

Step-by-step explanation:

The standard equation of a circle centered at (a,b) with radius r would be (x - a)^2 + (y - a)^2 = r^2

This example represents a circle with center (2, - 1) having a radius of 3

The parametric equation of a circle centered at (0,0) would be;

x = r cos t,

y = r sin t

And so when centered at (a, b) we would have;

x = a + r cos t,

y = b + r sin t

In this case x = 2 + 3 cos t, and y = - 1 + 3 cos t

Now if the particle starts at (-1, - 1), correspondent to a start parameter of t = π, we need two revolutions so it should be that t = π + 2 * 2π = 5π.

[tex]\left \{ {{x=2+3\cos t} \atop {y\:=-1+3\sin t}} \right. => \pi \leq t \leq 5\pi[/tex]

Answer:

Step-by-step explanation:4/9 /4= 1/9

Answer:

50$

Step-by-step explanation:

4*5=20

Answer:

Opction b)

The maximum area that can be enclosed by the fencing

Step-by-step explanation:

I took the test

The solution is, A(w), represents the maximum area that can be enclosed by the fencing.

Here, we have,

If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...

 A(w) = w(150 -w) = -(w² -150w)

 A(w) = -(w² -150w +75²) +75²

 A(w) = -(w -75)² +5625

In this vertex form, the vertex is (75, 5625).

The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.

To learn more on Area click:

brainly.com/question/20693059

#SPJ7

Opposite value would be either changing from a positive to a negative or from a negative to a positive.

Absolute value is always a positive value

A) 7.2, -7.2, 7.2

B) -3.5, 3.5, 3.5

C) 5 1/2, -5 1/2, 5 1/2

Answer:

-7.2     7.2

3.5      3.5

-5 1/2   5 1/2

Step-by-step explanation:

Answer: input values for the function.

Step-by-step explanation:

Answer:

272 inches squared

Step-by-step explanation:

272 square inches.

Because (2×8×2) + (2×8×12) + (2×2×12)  = 32 + 192 + 48 = 272

Step-by-step explanation:

Complementary Angles add up to 90 degrees since both m∠BAM and m∠CTX are known to be complementary, they must add up to 90 degrees. So....

[tex]m∠BAM + m∠CTX = 90 \\ (2x +4) + (x + 11) = 90 \\ 3x +15 = 90 \\ -15 + 3x +15 = 90 -15 \\ 3x = 75 \\ \frac{3x}{3} = \frac{75}{3} \\ x = 25[/tex]

[tex]x = 25[/tex]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

[tex]P_1 =  0.1333[/tex] , [tex]P_2 =  0.266[/tex], tex]P_3 =  0.200[/tex],  [tex]P_4 =  0.333[/tex] ,   [tex]P_5 =  0.067[/tex]

b

The location with most risk for flood is the location with 5 towns

Step-by-step explanation:

From the question we are told that

The total number of town is n = 15

Generally the missing number of town is mathematically evaluated as

[tex]k = 15 - [2 + 4 + 5 + 1 ][/tex]

=> [tex]k = 3 [/tex]

Generally the probability distribution for frequency is mathematically represented as

[tex]P = \frac{A}{B}[/tex]

Here  A is the number of town having these losses (i.e each row under the number of towns having the losses column)

        B is the total number of  towns

Considering column one

          [tex]P_1 =  \frac{2}{15}[/tex]

           [tex]P_1 =  0.1333[/tex]

Considering column two

          [tex]P_2 =  \frac{4}{15}[/tex]

           [tex]P_2 =  0.266[/tex]

Considering column three

          [tex]P_3 =  \frac{3}{15}[/tex]

           [tex]P_3 =  0.200[/tex]

Considering column four

          [tex]P_4 =  \frac{5}{15}[/tex]

           [tex]P_4 =  0.333[/tex]

Considering column five

          [tex]P_5 =  \frac{1}{15}[/tex]

           [tex]P_5 =  0.067[/tex]

Looking at the table we see that the region with  5  towns receive 3 floods per town and this region of 5 towns has a higher probability distribution for frequency compared to the other region. hence the location with most risk for flood is the location with 5 towns

Answer:

A)

Less than $100

B)

[tex]B(21)=300[/tex]

For each day after Day 16, Ebony deposited $40.

Step-by-step explanation:

We know that on Day 16 she deposited $100 into her account.

And each day after Day 16, she made a deposit and each deposit were equal to each other.

So, let's answer each of the questions using the available information.

Part A)

Notice that the 5th Segment starts and ends with the 5th to the 6th Point. The 6th Point represents the 16th Day, where B(16)=100.

We want to know whether or not each of her deposits after Day 16 were less than, equal to, or greater than $100.

We can immediately conclude that it must be less than $100 because we can see that the slope of the 6th Segment is less steep than the slope of the 5th Segment.

Since it is less steep, this means that the unit rate of change from each day after Day 16 is less than the unit change on Day 16, which is $100/day.

So, the each of the deposits made after Day 16 is less than $100.

Part B)

We want to estimate B(21) in hundreds.

Remember that Ebony's maximum balance is $400.

Also, recall that the first point is $200.

B(21), the 7th Point, seems to be between the 2nd/3rd Point and the 1st Point.

So, it is reasonable to say that at the 21st Day, her account balance was (200+400)/2=600/2=$300.

We know that at Day 16, her account balance was $100. So, we have the point (16, 100).

And at Day 21, her account balance is $300. So, (21, 300).

Since each deposit after Day 16 is the same, it has a constant rate of change. So, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (16, 100) be (x₁, y₁) and let (21, 300) be (x₂, y₂). Substitute them into the slope formula. This yields:

[tex]m=\frac{300-100}{21-16}[/tex]

Subtract and divide. So:

[tex]m=\frac{\$200}{5\text{ days}}=\$40\text{/day}[/tex]

So, for each day after Day 16, Ebony deposited $40.

And we're done!

Answer:

it should be 21 x 13

Step-by-step explanation:

Answer:

i don't know what the equation would be but hope this helped! 1.72 for each pencil

Step-by-step explanation:

9 - 3.85 = 5.15

5.15/3 = 1.72 for each pencil

Answer:

About $1.72 per pencil

Step-by-step explanation:

1. 9-3.85 = 5.15

2. 5.15/3 = 1.71 2/3 (1.7166666667)

3. $1.72/pencil

Answer:

6n + 7 = 7n

Step-by-step explanation:

Number of students involved in sports = 5n + 7

Number of students involved in student council = n

Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7

Number of students involved in band = 3n - 2

Number of students involved in drama club = 2(2n + 1)

Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n

Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:

6n + 7 = 7n

Complete Question

The complete question is  shown on the first uploaded image

Answer:

Option A is correct

Step-by-step explanation:

From the question we are told that  

  The  95% confidence interval of the mean  score of all  New Jersey third graders  is  (58.957 ,  63.043)

   The sample size is  n =  184

   The sample average is  [tex]\mu = 65 \ points[/tex]

   The standard deviation is   [tex]\sigma  =  13 \ points[/tex]

    The  90%  confidence interval for the difference in mean score between lowa and New Jersey is  (-6.33 ,  -1.67 )

   The  p-value is  [tex]p-value  =  0.0048[/tex]

Generally given that the p-values is very low compared to the level of significance (100 -90 =  10% = 0.10 )  we can reject the null hypothesis which is usually a  claim that the means of the  population are the same )

Hence the population means are different .

Answer:

The answer is 4 h ( x ).

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

Step-by-step explanation:

this is the answer .it is right or not

Answer:

4x+4=-3x-10

   4x+3x=-10-4

      x= -14

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

P.E.M.D.A.S

4(x + 1) = 4x+4

now we have 4x + 4 = -3x - 10.

now we can combine like terms which are x

4x and -3x, to combine like terms we can either subtract 4x on both sides or -3x on both sides, but lets do 4x.

now we have this

4x + 4 = -3x - 10.

-4x          -4x

= 4 = -7x - 10

now we can isolate x by its self so we have to add 10 on both sides

4 = -7x - 10

+10       +10

and we get

14 = -7x

now we can divide -7 to get x by its self

14/-7 = -7/x

we get for our final answer

x = -2

Answer:

3/16 / 5/6 = 9/40

7 / 1/6 = 42

2 1/6 / 1 1/3 = 1  13/20

2 1/7 / 3/28   = 20