SUBSTITUTION
p=-4.8 q=3.2
r=3-2p+q^2

Answer:

Step-by-step explanation:

Actually, none of these represent direct proportion, because each one involves adding or subtracting an offset.

The last answer is closest to being a proportional relationship:

$1.75 per pound → Total cost = ($1.75/lb)x, where x is the number of pounds.  This line would go through the origin, as it must, for the relationship to be proportional.  But as soon as we add in or subtract that $1 coupon, this is no longer a proportional relationship.

twenty four divisible by six, if that what u meant . or 24÷6

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Answer:

18 sq. units

Step-by-step explanation:

Height would be 6 and Length would be 3

6 x 3 = 18

For further help, use a coordinate grid and plot the points

Answer:

9 units

Step-by-step explanation:

We need to find the last point. This is a rectangle. We already have 3 corners. We need the opposite corner to (0,0). One corner has an x of 3 and a y of 0, another corner has a x of 0 and a y of 6.

We therefore know the fourth corner/point is (3, 6)

Now we can properly visualize the rectangle. If the rectangle has a corner at the origin, we can just use a formula and the other corner to find the area.

Area (rectangle) = 1/2 x length x width

The length will be the difference between the two x points (0 and 3) and the width will be the difference between the two y points (0 and 6).

Length = 3

Width = 6

Area = 1/2 x 3 x 6

Area =  9 units

Answer:

x = 56

y = 32

Step-by-step explanation:

x: y

7:4 = 11

multiply by 8 to make a total of 88

x = 7 × 8 = 56

y = 4 × 8 = 32

For the proportions X: Y = 7:4 and X: Y = 88, we first find that X = 154 and Y = 88. Subsequently, we can determine that X-Y is equal to 66.

The given conditions are X: Y = 7:4 and X: Y = 88. This means X/Y = 7/4 and X/Y = 88. Since both conditions have to be true, it implies 7/4 = 88. Taking the cross product, we find that X = 7*88/4 = 154.

To find Y, we substitute X = 154 into X: Y = 7:4, rearrange the equation to solve for Y, and get Y = 154 * 4 / 7 = 88. Now, we can calculate X-Y = 154-88 = 66. Hence, X-Y is equal to 66.

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Answer:

C. 2.1 g/cm^3

Step-by-step explanation:

The density of an object is its mass per unit volume.

The formula for density is:

[tex]D=\frac{M}{V}[/tex]

The object has a mass of 4.2 grams.

[tex]\implies M=4.2g[/tex]

and a volume of 2 cubic centimeters

[tex]\implies V=2cm^3[/tex]

We substitute the known values into the formula to get:

[tex]D=\frac{4.2}{2}gcm^{-3}[/tex]

We simplify to obtain:

[tex]D=2.1gcm^{-3}[/tex]

Answer:

2.1 g/cm^3 so its c

Answer:

Third one down.

Step-by-step explanation:

Answer:

Third One

Step-by-step explanation:

Answer:

Sales : $4.96

Total : $66.96

Step-by-step explanation:

To find the sales tax, just multiply the tax rate by the purchase price.

8.0% = 0.08

[tex]62*0.08=4.96[/tex]

So the sales tax is $4.96.

To find the total price, we can multiply the purchase price by the tax rate + 1.

[tex]62*1.08=66.96[/tex]

Or if you are not comfortable with that, you can add the sales tax and the purchase price.

[tex]62+4.96=66.96[/tex]

So the total price is $66.96

66.69

Because add the total together to get it

The calculated expected value for the private investigator's job is -$2,000, suggesting an expected loss. Therefore, the detective should not take the job based solely on the provided financial information.

To determine whether the private investigator should take the job, we need to calculate the expected value of the job based on the probabilities and payoffs provided.

Here is the calculation:

The expected value (EV) is thus calculated as:

EV = (Probability of Success) × (Gain) + (Probability of Failure) × (Loss)

EV = (0.1) × $70,000 + (0.9) × (-$10,000)

EV = $7,000 - $9,000

EV = -$2,000

Since the expected value is negative, the detective should not take the job based on this information alone, as it represents an expected loss.

Answer:

D

Step-by-step explanation:

Try to remember this formula.

[tex]y=a|b(x-c)|+d[/tex]

Where a is the vertical multiplier, b is the horizontal multiplier, c is the x coordinate of the vertex, and d is the y coordinate of the vertex.

Since the vertex on the graph is (2,3), c and d have to be 2 and 3.

Also, there are no vertical/horizontal stretches so the a and b values stay at 1.

The final equation would come out to [tex]y=|x-2|+3[/tex]

Answer: C. R

Step-by-step explanation:

R changes depending what m is. (It is also the y variable which is always dependent)

Answer:

The answer is "It is not a valid sample because it is not a random sample of the population".

Step-by-step explanation:

I had this test and that was my answer, and it was correct.

here is the answer and solution

Answer:

92 ft^2

Step-by-step explanation:

You have the top part correct. Don't let the multitude of numbers fool you.

The bottom rectangle is 5 high by 10 wide

Area = 10 * 5 = 50 ft^2

Your top part was 6*7 = 42 ft^2

The total area is 50 + 42 = 92 ft^2

Answer:

11%

Step-by-step explanation:

450-400=50, Amount of difference.

Actual volume, 450 in^3.

[tex](\frac{50}{450} )*100=100*(\frac{1}{9} )[/tex]

11%

The answer is D

0 is not less than or equal to -4, and in the second equation, 0 is greater than -1

Answer:

D. No. (0, 0) satisfies [tex]y>2x-1[/tex] but does not satisfy [tex]y\leq x^2-4[/tex].

Step-by-step explanation:

We are given the following system of equations and we are to determine if (0, 0) is its solution or not:

[tex]y\leq x^2-4[/tex]

[tex]y>2x-1[/tex]

Substituting the given point [tex](0, 0)[/tex] in both the equations to check if it satisfies them.

[tex]y\leq x^2-4[/tex] [tex]\implies[/tex] [tex]0\leq (0)^2-4 \implies 0\leq -4[/tex] - False

[tex]y>2x-1 \implies 0 > 2(0)-1 \implies 0>-10[/tex] - True

Therefore, the correct answer option is D. No. (0, 0) satisfies [tex]y>2x-1[/tex] but does not satisfy [tex]y\leq x^2-4[/tex].

Answer:

10

Step-by-step explanation:

the sum of interior angle and exterior angle = 180°

ext + 108 + ext = 180

2 ext + 108 = 180 (subtract 108 from both sides )

2 ext = 72 (divide both sides by 2 )

ext = 36

The sum of the exterior angles of a polygon = 360°, hence

number of sides = [tex]\frac{360}{36}[/tex] = 10

Answer:

96 is the measure of 3 angles. It has 3 sides since its a regular polygon.

Step-by-step explanation:

Sorry for taking so much time, I had to go AFK. But, here's the explanation:

Each exterior angles always measures 360 degrees and interior angles measure 180. Always.

The sides of a regular polygon is 3.

Now, they asked us to add 108+180 which gives us 288 degrees.

we divide 288÷3(the sides of the polygon) and we get 96 is the measure of three angles.

The simplified form of the expression [tex]\((13x + 9k) + (17x + 6k)\)[/tex] is [tex]\(30x + 15k\)[/tex].

To simplify the given expression, combine like terms. Like terms are terms that contain the same variables raised to the same power. Here, [tex]\(13x\)[/tex] and [tex]\(17x\)[/tex] are like terms because they both contain the variable [tex]\(x\)[/tex], and [tex]\(9k\)[/tex] and [tex]\(6k\)[/tex] are like terms because they both contain the variable [tex]\(k\)[/tex].

First, add the coefficients of the like terms with the variable [tex]\(x\)[/tex]:

[tex]\[ 13x + 17x = 30x \][/tex]

Next, add the coefficients of the like terms with the variable [tex]\(k\)[/tex]:

[tex]\[ 9k + 6k = 15k \][/tex]

Putting it all together, the simplified expression is:

[tex]\[ 30x + 15k \][/tex]

This is the final simplified form of the given expression.

The complete question is:

Simplify the following expression  [tex]\((13x + 9k) + (17x + 6k)\)[/tex] ?

9 (boxes a day) x 3 (shipping labels per box)= 27 labels per day

Answer: 27

Step-by-step explanation:

Given : The number of boxes warehouse worker ships = 9

The number of shipping labels contained in box = 3

Then the number of shipping labels the worker need each day is given by :-

[tex]9\times3=27[/tex]

Hence, the number of shipping labels the worker need each day =27

Answer:

a

Step-by-step explanation:

Answer:

I would say A

Step-by-step explanation:

Answer:

Part 1) The value of x is 50°

Part 2) The measure of angle LOK is 114°

Option C

Step-by-step explanation:

we know that

if two angles are supplementary, then their sum is equal to 180 degrees

so

(x+64)°+66°=180°

solve for x

x+130°=180°

x=180°-130°=50°

Find the measure of angle LOK

∠LOK=(x+64)°

∠LOK=(50+64)°=114°

2403/4.5= 534 filling in the rest of the 20 charters needed

Answer:

534 miles per hour

Step-by-step explanation:

To find the speed, we take the miles and divide by the hours

2403 miles/ 4/5 hours

534 miles per hour

The answer is:

The second piecewise function,

[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]

To answer the question, we need to find which piecewise function contains the graphs shown in the picture, we have that first line shown, is decreasing and exists from the negative numbers to 0,  and the line cuts the x-axis and the y-axis at "-2", for the second line shown,  we have that is decreasing but exists from 0 (including it) to the the positive numbers.

So, finding which piecewise satisfies the function shown, we have:

- First piecewise function:

[tex]f(x)=\left \{ {{-x-2,x<0} \atop {\frac{x}{2} }\geq 0} \right.[/tex]

First line,

We have the first line,

[tex]-x-2<0\\[/tex]

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exists from all the numbers less than 0, to 0, and it cuts the x-axis at -2 and the y-axis at -2.

Second line,

[tex]\frac{x}{2}\geq 0[/tex]

The variable has positive coefficient, meaning that the function (line) is increasing.

Hence, since the second line is not decreasing, the piecewise function is not the piecewise function shown in the picture.

- Second piecewise function,

[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]

First line,

We have the first line,

[tex]-x-2<0\\[/tex]

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exist from all the numbers less than 0, to 0.

Second line,

[tex]-\frac{x}{2}\geq 0[/tex]

The variable has a negative coefficient ([tex](-\frac{1}{2})[/tex], meaning the the unction (line) is decreasing, also we can see that the function does exists from 0 (including it) to the positive numbers.

Hence, we have that the correct option is the second piecewise function,

[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]

Note: I have attached a picture for better understanding.

Have a nice day!

Final answer:

By completing the square, the quadratic function x² + 8x + 6 can be rewritten as (x + 4)² - 10. The minimum value of the function is at -10, corresponding to option D.

Explanation:

To determine the maximum or minimum value of the quadratic function represented by the expression [tex]x^2 + 8x + 6[/tex], we should complete the square. This method involves creating a perfect square trinomial from the given quadratic expression, which allows for easy identification of the vertex of the parabola that represents the function graphically.

We start by taking the coefficient of the x-term (which is 8), dividing it by 2, and then squaring it to get 16. Then we add and subtract this value within our expression, which gives us:

[tex]x^2 + 8x + 16 - 16 + 6[/tex]

The expression now becomes:

( [tex]x^2 + 8x + 6[/tex]) - 10

This simplifies to:

(x + 4)2 - 10

Now that we have a perfect square, we can see that the vertex is at (-4, -10), which represents the minimum value of the function since the coefficient of the [tex]x^2[/tex] term is positive, indicating a parabola that opens upward.

Therefore, the correct answer is:

D) minimum value at − 10

Answer:

The distance between two points is √58 or 7.61.

Step-by-step explanation:

In the question we need to find the distance between two points 4,1 and -3,-2 given.

Distance between two points can be found using the formula:

[tex]d(P1,P2) = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]

Putting the given points in the formula we get,

x₂ = -3, x₁ = 4, y₂= -2, y₁= 1

[tex]=\sqrt{(-3-(4))^2 + (-2-(1))^2} \\=\sqrt{(-3-4)^2 + (-2-1)^2}\\=\sqrt{(-7)^2 + (-3)^2}\\=\sqrt{49 + 9}\\=\sqrt{58}\\=7.61[/tex]

So, the distance between two points is √58 or 7.61.

when they are equal

A proportion is when two ratios are equal.

For example the ratio 10:5 is equal to the ratio 2:1, therefore this is a proportion.

Answer:

The answer is 1,550

Step-by-step explanation:

First you find the area of the rectangle 1

Area = ab

=(21 in) (17in)

=357 sq in.

this will be the same for rectangle 3 = 357 sq. in.

next find the area of rectangle 2

area=ac

=(21 in) (11 in)

=231 sq in.

this will be the same for rectangle 4 = 231 sq. in.

next find the area of rectangle 5

area = bc

=(17 in) (11 in.)

=187 sq. in

this will be the same for rectangle 6 = 187 sq. in.

Next add all areas together

Total surface area = 2(ac) + 2(ab) + 2(bc)

= 2(231) sq in. + 2(357) sq in. + 2(187) sq. in

= 462 + 174+ 374

= 1550 sq. in

Answer:*fraction

Step-by-step explanation: I hope you get your answer soon

Answer:

40%

Step-by-step explanation:

Tanya has a a choice of 5 different routes (1-20 mins, 2-30 mins, 2-40 mins).

How many routes can she take that will take her 30-mins to get home?

The answer is 2.

What's the probability she will take 2 of the 5 routes to get home?

The probability is 2/5 so 40%.

The rounding instruction was there to mislead you in this case :-)

Answer:

25

Step-by-step explanation:

I'm not in 8th grade... but I am quite smart.

Look at the graph. Each point goes up 25. It starts at the origin, then 25, 50, 75, 100. In other words, 50 = 25 + 25, 75 = 25 + 25 + 25, and 100 = 25 + 25 + 25 + 25.

Answer:

.4 meters

Step-by-step explanation:

1.2-.8=.4

0————.4————.8————1.2

Answer:

0.4 meters

Step-by-step explanation:

We can use a number line:

<----| - | - | - | - | - | - | - | - | - | - | - | - | -------->

     0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1 1.1 1.2

If you count the number of dashes between 0.8 and 1.2, there will be four of them. The answer is 0.4 meters.