Jada sells ground paprika.

Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed.

What is Jada's profit if she sells 60 kilograms of paprika?

Answer:

6 units

Step-by-step explanation:

The distance between two points can be calculated with the formula

\(\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}\)

However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.

Distance between (0, 2) and (0, 8)

= 8 -2

= 6 units

Answer:

-22d -102

Step-by-step explanation:

8(−5d−9)−3(−6d+10)

Distribute

-40d -72 +18d -30

Combine like terms

-40d +18d   -72 - 30

-22d -102

Answer:

−22d − 102

Step-by-step explanation:

8 (−5d − 9) −3 (−6d + 10)

expand 8 (−5d − 9)  to  −40d − 72

= −40d − 72 − 3 (−6d + 10)

expand − 3 (−6d + 10)   to   18d − 30

= −40d − 72 + 18d − 30

combine like terms

= −40d + 18d − 72 − 30

=  −22d − 102

Ones is the place value of the digit 6 in the number 2,016 and 6 is the face value of the digit 6 in the number 2,016.

Given, a number 2,016

we have to find the place and face value of 6 in the given number 2,016.

So, the Place value of 6 in the given number is ones.

Ones is the place value of the digit 6 in the number 2,016

Also, the Face value of 6 in the given number is 6.

6 is the face value of the digit 6 in the number 2,016

Hence, Ones is the place value of the digit 6 in the number 2,016 and 6 is the face value of the digit 6 in the number 2,016.

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List of possible integral roots = 1, -1, 2, -2, 3, -3, 6, -6

List of corresponding remainders = 0, -16, -4, 0, 0, 96, 600, 1764

Check out the table below for a more organized way to represent the answer. The x values are the possible roots while the P(x) values are the corresponding remainders.

====================================================

Explanation:

We'll use the rational root theorem. This says that the factors of the last term divide over the factors of the first coefficient to get the list of all possible rational roots.

We'll be dividing factors of 6 over factors of 1. We'll do the plus and minus version of each. Since we're dividing over +1 or -1, this means that we're basically just looking at the plus minus of the factors of 6.

Those factors are: 1, -1, 2, -2, 3, -3, 6, -6

This is the list of possible integral roots.

Basically we list 1,2,3,6 with the negative versions of each value thrown in as well.

---------------------------------

From there, you plug each value into the P(x) function

If we plugged in x = 1, then,

P(x) = x^4 - 3x^3 - 3x^2 + 11x - 6

P(1) = (1)^4 - 3(1)^3 - 3(1)^2 + 11(1) - 6

P(1) = 1 - 3 - 3 + 11 - 6

P(1) = 0

This shows that x = 1 is a root, since we get a remainder 0. Do the same for the other possible rational roots listed above. You should find (through trial and error) that x = -2 and x = 3 are the other two roots.

Answer:

25

Step-by-step explanation:

1.7a+0.3a=0.8

2a=0.8

a=0.4

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

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Answer:

1.5 kg

Step-by-step explanation:

Assuming it scales linearly: the higher tin holds 9/6 as many biscuits, so:

9/6 · 1 kg = 1.5 kg

Answer:

the piece of wood is 48 times as long as the nail.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

you take the length of the wood and divide it by the length of the nail, so 12 divided by 3 well you can also skip-count until you reach 12, regardless you get 4

Answer:

2^5m^15n^10

Step-by-step explanation:

Answer:

16m^12n^8t^4

Step-by-step explanation:

when raising exponents to another exponent you multiply the exponents

Both figures have an area of 4 units squared, so yea, the area is the same.

The area of a square of side length S is equal to S squared, for the square, we can see that:

S = 2 units.

Then the area is:

A = (2 units)² = 4 square units.

For the triangle, we know that the area is equal to:

A = B*H/2

Where B = base, H = height.

We can see that:

B = 2 units.

H = 4 units.

Then:

A = (2 units)*(4 units)/2= 4 square units.

So yea, both have the same area.

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Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

-140/3

Step-by-step explanation:

Add 6 to both sides : 6/7x = -40

Multiply both sides by 7/6 : -140/3

Step-by-step explanation:

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The coordinates to which the portable irrigation system should be sent to water the area are:

(495.75, 672).

The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.

Hence the coordinates are given as follows:

Hence the x-coordinate of the point to which the system should be sent is:

x = (56 + 144 + 888 + 895)/4 = 495.75.

(the mean is given by the sum of the observations divided by the number of observations).

The y-coordinate of the point to which the system should be sent is:

y = (289 + 332 + 1012 + 1055)/4 = 672.

The area is given by the image at the end of the answer.

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Answer:

The green room is 12 (4x3)

The yellow room is 9 (3x3)

The red room is 12 (2x6)

Step-by-step explanation:

If you plot the point (12,16), you could draw a right triangle where the hypotenuse is the radius.

so 12^2+16^2 =r^2 (the hypotenuse)

144 + 256 = r^2

400 = r^2

20 = r

the equation of this circle would be x^2 + y^2 = 20^2

or x^2 + y^2 = 400

see screenshot!

9514 1404 393

Answer:

  (-∞, 2-√7) ∪ (2+√7, ∞)

Step-by-step explanation:

The factored form of a polynomial is helpful for solving related inequalities. For quadratics with two real zeros, the sign changes at each zero. If the leading coefficient is positive, the sign is positive to for x-values "outside" either zero, and is negative between the zeros.

Your inequality can be written in standard form as ...

  x² -4x -3 > 0

  x² -4x +4 -7 > 0

  (x -2 -√7)(x -2 +√7) > 0 . . . . . factor the difference of squares (x-2)² -7

The zeros are at x=2-√7 and x=2+√7, so the product of these factors will be positive for x < 2-√7 and x > 2+√7. The solution in interval notation is ...

  (-∞, 2-√7) ∪ (2+√7, ∞)

_____

Additional comment

We suspect a typo in the problem statement. If it were to read ... > -3, then the zeros would be at 1 and 3, and the solution would be (-∞, 1)∪(3, ∞).

Answer: it is 16

Step-by-step explanation:

The number of batches her mother should cook is 6.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, in party there are 24 people and each of the will eat 4 cupcakes.

So, total number of cupcakes required

= 24×4

= 96

Mom can bake 16 cupcakes per batch.

So, number of batches = 96/16

= 6

Therefore, number of batches her mother should cook is 6.

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Answer:

m=3

Step-by-step explanation:

1-7/-6+4 = -6/-2 = 6/2 = 3

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81

Answer:

40 cm

Step-by-step explanation:

To find the area of a trapezoid, you have to do...

(4+6)times 8 divided by 2

so its 10 times 8 which is 80 divided by 2 is 40 cm!!

hope this helps!!

48 + 32 divided by 2 is 40

Step-by-step explanation:

The area is 40

Step-by-step explanation:

Fred has two possible outcomes on his first test: he either scores less than 60 or he scores 60 or higher.

If he scores less than 60, there is a 55% chance he will pass the course, and a 45% chance he will fail. We know there is a 70% chance he will score less than 60, so the probability that he scores less than 60 and fails the course is 0.7 * 0.45 = 0.315.

If he scores 60 or higher, there is a 70% chance he will pass the course, and a 30% chance he will fail. We don't know the exact probability that he scores 60 or higher, but we know that it is 1 - 0.7 = 0.3 (since there is a 70% chance he scores less than 60). So the probability that he scores 60 or higher and fails the course is 0.3 * 0.3 = 0.09.

Adding these two probabilities together gives us the total probability that Fred gets more than 60 on the first test but fails the course: 0.315 + 0.09 = 0.405. However, we are looking for the probability that he gets more than 60 but fails, so we need to subtract the probability that he scores less than 60 and fails: 0.405 - 0.315 = 0.09. Therefore, the answer is B. 0.09.

i think so...

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Answer:

800 in squared

Step-by-step explanation:

16*16+4*0.5*17*16

When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer:

\(f^{-1}(x)=\frac{1-2x}{x-1}\)

Step-by-step explanation:

1. replace f(x) with x, and x with y:  \(f(x)=\frac{x+1}{x+2} == > x=\frac{y+1}{y+2}\)

2. Solve for y:

   \(x=\frac{y+1}{y+2}\)

   \(x(y+2)=y+1\)

   \(xy+2x=y+1\)

   \(xy-y=1-2x\)

   \(y(x-1)=1-2x\)

   \(y=\frac{1-2x}{x-1}\)

3. Replace y with f⁻¹(x)

Answer:

Step-by-step explanation:

if it is  \(6^{2}x+ 2.6^{3}\)x = 1  

36x+17.576x = 1

53.576x = 1

x = 1 / 53.576

x = 1 /  \(\frac{6697}{125}\)

x = \(\frac{125}{6697}\)

or is it

6\(x^{2}\) + 2.6\(x^{3}\)=1      ?

Answer:

This is what I got.

Step-by-step explanation:

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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