Which relation describes the graph?

Answer:

1. 2507.034 g

2. 1243mg

   0.001243kg

   1,243,000 mcg

3. 162.5g

Step-by-step explanation:

1. First of all we need to convert 30mg and 2.5kg to gram.

⇒ 1 gram = 1000 milligrams

         x     =  35mg  

⇒ 1000mg(x) = 35mg

⇒ x = 35mg    =   35   =  0.035g

        1000mg    1000

Next we convert 2.5kg to gm.

⇒ 1 kilogram = 1000g

     2.5kg   =   x  

(We then criss cross)

⇒ x = 2.5kg × 1000g = 2500g  = 2500g

                 1kg                    1

Now that we converted them all to gram, we will add them.

⇒ 30mg + 2.5kg + 7g = 0.035g + 2500g + 7g = 2507.035 ≈ 2507g

2.  We convert 1.234g into

a. mg

⇒ 1 gram = 1000 milligram

    1.243g = x

⇒ x = 1.243g × 1000mg = 1243mg = 1243mg

                1g                      1

b. kg

⇒ 1 kilogram = 1000gram

                  x =   1.243 gram

⇒ x = 1.243g × 1kg  =   1.243kg = 0.001243kg = 1.243 × 10⁻³ kg

                1000g            1000

c. mcg

⇒  1 gram = 1000000mcg

    1.243g =  x

⇒ x = 1.243g × 1,000,000mcg  = 1,243,000mcg = 1,243,000mcg

                        1 g                                   1

3. We need 500 aspirin, the amount of grams needed and we know that one tablet contains 325mg.

So now we can derive the formula such that:

⇒ 1 tablet      = 325mg

   500 tablet =  x

But first we need to convert 325mg to grams.

⇒ 1 gram = 1000mg

      x   =  325mg

⇒ x = 325mg × 1 g = 325g = 0.325g

              1000mg     1000

So now instead of using 325mg we can use 0.325g.

⇒ 1 tablet   =  0.325g

    500 tablets =  x

⇒ x = 500 tablets × 0.325g  =  162.5g = 162.5g

                      1  tablet                   1

Answer:

  260 square feet

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

The area of two same-size rectangular rooms will be double the area of one of them.

__

Each room has an area of ...

  A = LW = (13 ft)(10 ft) = 130 ft²

The order for carpet must be for 2 times the area of one room:

  carpet order = 2 × 130 ft² = 260 ft²

Jerry should order 260 square feet of carpet.

Answer:

False

Step-by-step explanation:

Here's a simple little trick to tell wether a system of inequalities has any solutions or not, just by looking at it:

By following this logic, since the system given has different slopes, it only has one solution. Therefore your answer is false.

Hope this helps you.

Step-by-step explanation:

First expression ...

[tex] = {ax}^{3} y[/tex]

[tex] = a \times x \times x \times x \times y[/tex]

Second expression.....

[tex] = b {x}^{4} {y}^{3} [/tex]

[tex] = b \times x \times x \times x \times x \times y \times y \times y[/tex]

HCF = common factor...

[tex] = x \times x \times x \times y[/tex]

[tex] = {x}^{3} y[/tex]

[tex]hence \: {x}^{3} y \: is \: the \: answer....[/tex]

Answer: HCF =

x³y

Step-by-step explanation:

HCF of ax³y and bx⁴y³

ax³y = a . x . x . x . y

bx⁴y³ = b . x . x . x . x . y . y . y

Common Factors = x . x . x . y

HCF = x . x . x . y

HCF = x³y Answer

therefore, the HCF of ax³y and bx⁴y³ is x³y.

hope that helps...



note: the dot (.) represents multiplication.

Answer:

The last option y= -2x-3

Step-by-step explanation:

this equation passes through the point (-2,1)

Answer:

give that 13.3cm is 15% of a certain length, what is the complete length

Answer: A,B and D ARE THE CORRECT ANSWERS

Step-by-step explanation:

Hi student, let me help you out! :)

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

We are asked to find the slope of this graph; we are provided with two points:

[tex]\star~\mathrm{(6,0)}[/tex]

[tex]\star~\mathrm{(0,-5)}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Here's the formula:

[tex]\star~\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

[tex]\star~\mathrm{\cfrac{-5-0}{0-6}}}[/tex]

Simplify!

[tex]\star~\mathrm{\cfrac{-5}{-6}}}[/tex]

Simplify more!

[tex]\star~\mathrm{\cfrac{5}{6}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Answer:

$ 4.50

Step-by-step explanation:

2% of the price = 9 cents

.02 x   = 9

x = 9 / .02 = 450 cents     or  $4.50

Answer:

m∠A = 90°

Step-by-step explanation:

In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!

m∠B = m∠C

11x - 10 = 7x + 10

4x - 10 = 10

4x = 20

x = 5

Now let's insert x back in the expressions for angles.

m∠B = (11x − 10)° = (11(5) − 10)° = 45°

m∠C = (7x + 10)° = (7(5) + 10)° = 45°

Sum of all angles in the triangle is 180°. Let's make an equation.

m∠A + m∠B + m∠C = 180°

m∠A + 45°+ 45° = 180°

m∠A  = 90°

Answer:0.124402866242

Step-by-step explanation:here’s my attempt: dv/dt=d/dt(4pi/3r^3). 100=d/dt((4pi/3)*(8+X*t)^3) at t=0. 100/(4(pi)*8^2)=x where x is the rate of change of the radius. Not 100% sure though

The cost of the ice needed to make 50 snow cones is $54.50.

The first step is to determine the volume of the snow cone.

Volume of the snow cone =volume of a cone + volume of the hemisphere

Volume of the cone = 1/3πr²h

1/3 x 3.14 x 10.2 x (8.3/2)² = 183.87 cm³

Volume of the hemisphere = 2/3πr³

2/3 x 3.14 x (8.3 / 2)³ = 224.43 cm³

Total volume = 224.43 cm³ + 183.87 cm³ = 408.30 cm³

Volume of 50 snow cones =  408.30 cm³ x 50 = 20,414.82

Total grams of ice needed = density x volume

0.697 x 20,414.82 = 14,229.13 grams

Convert gram to 1kg

1kg = 1000g

= 14,229.13 grams  / 1000 = 14.23kg

Cost of the ice = 14.13 x 3.83 = $54.50

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[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sin52=\dfrac{AC}{BC}[/tex]

[tex]\\ \rm\Rrightarrow sin52=\dfrac{9.2}{B C}[/tex]

[tex]\\ \rm\Rrightarrow B C=\dfrac{9.2}{sin52}[/tex]

[tex]\\ \rm\Rrightarrow B C=9.3[/tex]

Answer:

11.7  (3 s.f.)

Step-by-step explanation:

Given information:

As one of the given angles is 90°, the triangle is a right triangle.

Draw the triangle using the given information (see attached) to help visualize the problem.

To calculate the length of BC, use the sine trigonometric ratio:

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

From inspection of the attached triangle:

Substitute the values into the formula and solve for BC:

[tex]\implies \sf \sin(52^{\circ})=\dfrac{9.2}{BC}[/tex]

[tex]\implies \sf BC=\dfrac{9.2}{\sin(52^{\circ})}[/tex]

[tex]\implies \sf BC=11.67496758...[/tex]

[tex]\implies \sf BC=11.7\:\:(3 \:s.f.)[/tex]

Therefore, the length of BC is 11.7 (3 s.f.).

The estimate of the percentage expression 66 2/3% of 2,600 is 1733.33

The expression is given as:

66 2/3% of 2,600

Rewrite as:

66 2/3% * 2,600

Express the fraction as an improper fraction

200/3% * 2,600

Remove the percentage sign

200/300 * 2,600

Evaluate the product

1733.33

Hence, the estimate of the percentage expression 66 2/3% of 2,600 is 1733.33

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The closest to the maximum number of cups the punch bowl can hold is 30

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

[tex]V = \frac{2}{3}\pi r^3[/tex]

This gives

[tex]V = \frac{2}{3}\pi * 6^3[/tex]

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30

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Answer:

the last one 1/6

Step-by-step explanation:

1/2 x 1/3 = 1/6

Answer:

The data is spread out from 1 to 10 pounds of trash

Step-by-step explanation:

Because you see the X's on all the numbers through 1-10, there is none on 0. The other answer options are incorrect

Answer:

f(3) = - 10

Step-by-step explanation:

given

f(n) = f(n - 2) + f(n - 1) , then

f(3) = f(3 - 2) + f(3 - 1) = f(1) + f(2) = - 6 + (- 4) = - 6 - 4 = - 10

[tex]f(3)=f(1)+f(2)=-6+(-4)=-10[/tex]

Answer:

The answer would be Set: "S" = the set of natural numbers greater than 11.

Hope this helps!

Answer:

Step-by-step explanation:

1) Let the unknown angle = x

   x +  43 + 90 = 180

            x + 133 = 180

                      x = 180 -133

                     [tex]\sf \boxed{\bf x = 47^\circ}[/tex]

2) x + 88 + 30 = 180

            x + 118 =180

                   x  = 180 - 118

                  [tex]\sf \boxed{\bf x = 62^\circ}[/tex]

3) x + 98 + 40 = 180

            x + 138 = 180

                    x  = 180 - 138

                    [tex]\sf \boxed{\bf x = 42^\circ}[/tex]

Step-by-step explanation:

Hopefully this is helpful?

The probability of getting two red chips is:

P = 1/21.

The probability of getting a red chip is equal to the quotient between the number of red chips and the total number of chips.

There are 4 blue chips and 3 red chips, for a total of 7 chips.

For the first draw, the probability of getting a red one is:

p = 3/7.

For the second draw, now there are 2 red chips and 6 chips in total, so now the probability is:

q = 2/6 = 1/3

Then the joint probability, given by the product between the two individual probabilities, is:

P = q*p = (3/7)*(1/3) = 1/21.

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The slope of the line is the negative 4/3 and y-intercept will be the negative 1.

The correct equation is given below.

−4x − 3y = 3

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line will be

−4x − 3y = 3

Then the equation of a line can be written as

4x + 3y = −3

       3y = −4x − 3

         y = −(4/3)x − 1

Then the slope of the line is the negative 4/3 and y-intercept will be the negative 1.

The graph is given below.

More about the linear system link is given below.

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Answer:

[tex]\textsf{x = 45}[/tex]

Here, the given 2 angles are complementary angles. The sum is 90 degrees as indicated by the right angle symbol.

[tex]\textsf {Solving :}[/tex]

[tex]\implies \textsf{x - 2 + 47 = 90}[/tex]

[tex]\implies \textsf{x + 45 = 90}[/tex]

[tex]\implies \textsf{x = 45}[/tex]

The value of the quotient of 0.378 ÷ 0.3 is 1.26

The quotient of 0.378 ÷ 0.3 is

The expression is given as:

0.378 ÷ 0.3

Rewrite as a fraction

0.378/0.3

Multiply the fraction by 1

Express 1 as 1000/1000

0.378/0.3 * 1000/1000

Evaluate the product

378/300

Divide 378 by 300

1.26

Hence, the quotient of 0.378 ÷ 0.3 is 1.26

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The true statement about the quadratic function is that it has two distinct real zeros

The given parameters are:

The first highlight above means that, the function can be represented as:

y = a(x - x1)(x -x2)

Where x1 and x2 are the x-intercepts

This also means that the quadratic function has two distinct real zeros

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The 48 flies of them will live longer than 21 days if there are 300 houseflies in the study.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have mean u = 18 days

SD = 3 days

X = 21 days

From the formula:

Z = (X - u)/SD

Z = (21 - 18)/3 = 1

P(x<21) = 0.84134

P(x>21) = 1 - P(x<21) = 0.15866

Number of flies = 300×0.15866 = 47.59 ≈ 48 flies

Thus, the 48 flies of them will live longer than 21 days if there are 300 houseflies in the study.

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Answer:

therees nothing here to help you with?

Step-by-step explanation:

srry abt that but add the square number

Omar ran 950 meters farther than Paula. Option A is correct.

The total number of centimeters they both ran is 745000 centimeters. Option D is correct.

The distance between two objects can be determined by finding their difference.

From the given information:

The way to solve this is by converting all the distances to meters.

The total number of centimeters they both ran is:

= (420000+325000) centimeters

= 745,000 centimeters

Therefore, we can conclude that Omar ran 950 meters farther than Paula. The total number of centimeters they both ran is 745000 centimeters.

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Answer:

Omar ran 950 meters farther than Paula. Option A is correct.

The total number of centimeters they both ran is 745000 centimeters. Option D is correct.

How do we determine the distance between two objects?

The distance between two objects can be determined by finding their difference.

From the given information:

Paula ran 3 1/4 kilometers

Omar ran 4200 meters

The way to solve this is by converting all the distances to meters.

Paula = 3250 meters

Omar = 4200 meters

Difference in their distance = (4200 - 3250) meters

Difference in their distance = 950 meters.

The total number of centimeters they both ran is:

= (420000+325000) centimeters

= 745,000 centimeters

Therefore, we can conclude that Omar ran 950 meters farther than Paula. The total number of centimeters they both ran is 745000 centimeters.

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Step-by-step explanation:

Answer:

D where the funds to start and operate your business.........