3) 18 mm
4mm

4) 11 in
19 in

5) 5 mi
11 m

Answer:

When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.

If a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Discriminant is √[tex]\sqrt{b^2- 4ac }[/tex]

a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

In this case, we say that the roots are imaginary.

Learn more about quadratic equations;

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Answer:

1 true

2 false

3 true

4 false

Step-by-step explanation:

The yearly salary after paying for taxes, insurances and other expenses is  r808.42.

The first step is to determine the total fraction used to pay for taxes, insurances and other expenses:

1/2 + 1/16 + 5/6

(48 + 6 + 80) / 96 = 134 / 96=  1 19/48

Now subtract 1 19/48 from 1

1 19/48 - 1 = 19/48

Finally, divide 19/48 by 320

320 x 48/19 = r808.42

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

Answer:

x=8.4

Step-by-step explanation:

use tangent to solve the equation which is opposite/adjacent and set up the proportion

[tex] \frac{ \tan(35) }{1} = \frac{x}{12} [/tex]

the cross multiply to get x=tan(35)×12 then multiply that to get x=8.4

Answer:

Step-by-step explanation:

The volume of cone formula:

Substitute te given values into the formula and solve for r:

Answer:

10 cm

Step-by-step explanation:

Volume of a cone

  [tex]\sf V= \dfrac{1}{3} \pi r^2 h[/tex]

where:

Given information:

To find the length of the radius, substitute the given values into the formula and solve for r:

[tex]\begin{aligned}\sf V& = \sf \dfrac{1}{3} \pi r^2 h\\\\\implies \sf 400 \pi & = \sf \dfrac{1}{3} \pi r^2(12)\\\\ \sf 400 \pi & = \sf \dfrac{12}{3} \pi r^2\\\\ \sf 400 \pi & = \sf 4\pi r^2\\\\ \sf \dfrac{400 \pi}{4 \pi} & = \sf r^2\\\\ \sf r^2 & = \sf 100 \\\\ \sf \sqrt{r^2} & = \sf \sqrt{100}\\\\ \sf r & = \sf 10\end{aligned}[/tex]

Therefore, the length of the radius of the cone is 10 cm.

Learn more about cones here:

https://brainly.com/question/27845349

https://brainly.com/question/27825174

Answer:

the answer is 1.258

Answer:

1.258

Step-by-step explanation:

The formula for the circumference of a circle (or a sphere) is [tex]2\pi r\\[/tex].
The formula the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex].
Assuming 43.4 includes the pi, we can do the equation [tex]43.4=2\pi r[/tex]
Solving the equation, we get [tex]\frac{43.4}{2\pi } =r[/tex]

Substituting r into the formua for the volume of a sphere, we get [tex]\frac{4}{3} *\pi *(\frac{43.4}{2\pi } )^3[/tex]
Solving the cube (probably with a calculator), we get [tex]\frac{4}{3} *\pi *\frac{81746.504}{8\pi ^3}[/tex]

It is a bit messy, but we can simplify further by cancelling out the pi's, which leaves us with [tex]\frac{4}{3} *\frac{81746.504}{8\pi ^2}[/tex].
With the butterfly method (or whatever you may call it), we can cancel out the 4 in the numerator and the 8 in the denominator, and multiply the 3 in the denominators.
Which gets us this: [tex]\frac{81746.504}{6\pi ^2}[/tex]
Using a calculator, we get our final answer of (about) 1380.44cm^3

This was very messy, I apologize if I did make any mistakes.

Answer:

1884

Step-by-step explanation:

square the 10 which is 100 and multiply 6 which is 600 and then multiply 600*3.14 which is 1884

Please mark as brainliest

Each partner's share given a first-year net income of $102,800 is $-3,300.

Each partner's share given a first-year net loss of $20,800 is $-44,300.

Partner' share = net income / loss - interest - salary salary allowance

Interest = ($64000 x 10%) + ($94000x 10%) = $15,800

Salary = $52,000 + $41,600 = $93,600

Share of net income = [$102,800 - (15,800 + 93600)] / 2  = $-3,300

Share of net loss = [-20,800 - (15,800 + 93600)] / 2 = $-44,300

To learn more about profit, please check: https://brainly.com/question/26181966

Answer:

240

Step-by-step explanation:

because each side is 60 inches so do 60x4 and you get 240

Answer:

Option D!

Step-by-step explanation:

Hope this helps.

Answer:

There are 33 nuts in the bag, to 21 dried fruits.

Total number of dried fruits is 21, while the total number of nuts is 33.

Step-by-step explanation:

Answer:

X²-8x+308

Step-by-step explanation:

two negative integers -x and -x= +x²

8units apart=-8x

all equals 308

X²-8x=308

bring everything to the LHS

X²-8x-308=0

C(x)=0.25x+14.75

=C(40)=0.25x+14.75

=40c=0.25(40) + 14.75

=40c=10+14.75

=40c=24.75

Answer:

$2

Step-by-step explanation:

2($10)=$20

$20-$18=$2

Answer:

Try to multiple 0.59x to $70, divide $19,95 to whatever answer u got from 0.59 to $70 then add 84.83334 and then there's your answer

Step-by-step explanation:

Done this and got right

Answer:

V=4960in^3

S.A=2116in^2

Step-by-step explanation:

36x2

1- 72in^2

5-2=3in

8x3

2- =24in^2

5-2=3in

5+3=8in

8x10

3- =80in^2

36-(10+8)=

0.5×18×8

4-=72in^2

72+24+80+721

C.S.A=248in^2

V= 248×20

=4960in^3

248x2

1- =496in^2

36x20

2- =720in^2

20×2

3- =40in^2

20×5

4- =100in^2

20×8

5- =160in^2

20×20

6- =400in^2

20×10

7- =200in^2

=496+720+40+100+160+400+200

=2116in^2

If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The given function is f(x) = 0.5 |x – 4| – 3

If the value of the function f(x) is 7, then the value of x will be

0.5 |x – 4| – 3 = 7

      0.5 |x – 4| = 10

            |x – 4| = 20

             x – 4 = ±20

For positive signs, we have

x – 4 = 20

      x = 24

For negative signs, we have

x – 4 = –20

     x = –16

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

64°

Step-by-step explanation:

      When angles are complementary, they can be added together to equal 90°.

90° - 26° = 64°

           The measure of angle A is 64°.

Answer:

See explanation

Step-by-step explanation:

look at the photo

I hope it will help you <3

Answer:

Step-by-step explanation:

*The other person that answered may be correct, but this was my way of solving the functions.

Answer:

option 1

Step-by-step explanation:

[tex]x - 3 + \frac{7 x- 9}{ {x}^{2} - 2 } [/tex]

your required answer

Using the volume of the rectangular prisms, it is found that there is 1.5 times more sunscreen in Bottle B than in Bottle A.

The volume of a rectangular prism of dimensions l, w and h is given by:

V = lwh.

For bottle A, we have that, in inches, l = 1, w = 2, h = 6, hence the volume in cubic inches is given by:

Va = 1 x 2 x 6 = 12 in³.

For bottle B, we have that, in inches, l = 1.5, w = 3, h = 4, hence the volume in cubic inches is given by:

Vb = 1.5 x 3 x 4 = 18 in³.

The ratio between the volumes is given by:

r = Vb/Va = 18/12 = 1.5.

Hence, there is 1.5 times more sunscreen in Bottle B than in Bottle A.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

Answer:

Step-by-step explanation:

∠ABD is the complementary angle to ∠BDC.

Two angles are complementary when they add up to 90°

So if i'm reading it right, it says the total depreciation will be 13% & 14% after the 5 years. If i'm misunderstanding, let me know and i'll fix my answer because the process will be a bit different

Depreciation means a decrease in something over time. You can think of it like a "__% off" sale if that helps

For the first option, we need to find 13% of 18,000. "Of" always means multiply, so 13%*18,000=2,340

Since we're decreasing, subtract 2,340 from the original cost

18,000-2,340=$15,660

Same process for the second option

14%*22,000=3,080

22,000-3,080=$18,920

Answer: I assume you want an equation so thats what ill do.

y = x(0.975)

20 ants equals to mass of the bee if the mass of an ant is 5 x 10-3 grams and the mass of a bee is 1 x 10-¹ grams.

GIven the following parameters from the question

Mass of an ant = 5 x 10⁻³ grams

Mass of the bee = 1 *  10⁻¹ grams

Find the ratio of both masses

Ratio =  1 x10⁻¹ /5 x 10⁻³/

Ratin = 0.1/0.005
Ratio = 20

This shows that 20 ants equals to mass of the bee

Learn more on ratio and proportion here: https://brainly.com/question/19994681

Answer:

The answer is t < -3

Step-by-step explanation:

t < -3 is the answer, because since the temperature is less than -3 degrees Fahrenheit it has to be t < -3

Answer:

132 square feet

Step-by-step explanation:

If you need an explanation, just ask.

Hope this helps! Pls give brainliest!

Answer:

24.62°

Step-by-step explanation:

sin^-1 (5/12)

=24.62

Answer:

24.62°

Step-by-step explanation:

sin^-1(5÷12) = 24.62°

(if you are allowed to use calculator)

Answer:

there are no statements...