(1 point) a pizza parlor offers a choice of 16 different toppings. how many 2-topping pizzas are possible?

The equation that can be used to find any value of y when given a value of x is y = - 0.5x + 60

The relationship given is a linear relationship as the values are moving in one direction. The slope - intercept form can therefore be used.

First, find the slope, using the points ( 100, 10 ) and ( 60, 30) as :
= Change in y / Change in x

= ( 30 - 10 ) / ( 60 - 100)

= - 0.5

Then, we can find the y - intercept with the slope and the point ( 60, 30 ) in the slope intercept form of:

y = Slope (x ) + y - intercept

30 = - 0. 5 ( 60 ) + y - intercept

y - intercept  = 30 + 30

y - intercept  = 60

The equation to find y when given an x value is:

y = - 0.5x + 60

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Domain (from X-axis):  

Range (from Y-axis):

Answer:

6

Step-by-step explanation:

Answer:

h=8 in

Step-by-step explanation:

Formula: V=pi r^2 h

Cylinder A:

radius: 4 in  height: 2 in

V=pi*4^*2*2

V=pi*16*2

V=pi*32

V=3.14*32

V=100.48

Cylinder B:

radius: 2 in  height: ?  volume: 100.48

100.48=pi*2^2*h

100.48=pi*4*h

100.48=3.14*4*h

100.48=12.56*h

100.48/12.56=h

h=8 in

Hope this helps :)

Plz give me brainliest

Answer:

\(c = \pi d\)

circumference = pi * diameter

Answer:

The perimeter of the figure is 32.5 ⇒ (4)

Step-by-step explanation:

Let us solve the question

From the given figure

∵ The perimeter of the figure is the sum of the 3 sides of the rectangle

   and the length of the circumference of the semicircle

∴ P = W + L + W + \(\frac{1}{2}\) C, where W is the width, L is the length, and C is the

   circumference of the circle

∵ W = 3.4 and L = 10

∵ C = π d, d is the diameter of the

∵ The diameter of the circle equal to the length of the rectangle

∴ d = L = 10

∴ C = π(10) = 10π

→ Substitute the values of W, L, and C in the rule of the perimeter above

∵ P = 3.4 + 10 + 3.4 + \(\frac{1}{2}\) (10π)

→ Use π = 3.14

∴ P = 3.4 + 10 +3.4 + 15.7

∴ P = 32.5

∴ The perimeter of the figure is 32.5

Answer:

Options (1) and (5) are the correct options.

Step-by-step explanation:

See attachment for the complete question.

Simon's work,

Area of the base = B =\(\frac{1}{2}bh = \frac{1}{2}(5)(13)\)=32.5 m²

Volume = Bh = 32.5(12) = 390 m³

Let's check the error's he made.

Area of the base of the triangular prism

B =\(\frac{1}{2}bh=\frac{1}{2}(5)(12)\)

B = 30 m²

Volume of the prism = (Area of the triangular base)×(Height)

V = 30 × 4

V = 120 m³

Therefore, Options (1) and (5) are the correct options.

Answer:

RAU47 STAR IS CORRECT ON EDG  ENUITY 2021

Step-by-step explanation:

THE AREA OF THE BASE IS 30^2 NOT 32.5^

AND

THE VOLUM E IS 120^3  N OT 390^3

Answer:

Ratio of sandwiches with white bread and brown bread is 10:3. Of the white sandwiches 2/3 are vegetarian, of the sandwiches that are brown half are vegetarian. What fraction of the sandwiches are vegetarian?

Step-by-step explanation:

Givens

The ratio between white bread and brown bread is 10:3, that is, for every 10 white bread, there are 3 brown bread.

2/3 of white sandwiches are vegetarian.

1/2 of brown sandwiches are vegetarian.

We know that white bread is represented by 10, and brown bread is represents by 3. So, 2/3 of 10 are vegetarians, and 1/2 of 3 are vegetarians. The sum of them is

2/3 of 10 are vegetarians = \(\frac{2}{3} \times 10 = \frac{20}{3}\)

1/2 of 3 are vegetarians = \(\frac{1}{2} \times 3 = \frac{3}{2}\)

\(=\frac{20}{3}+\frac{3}{2}\\\\=\frac{40+9}{6}\\\\=\frac{49}{6}\)

Therefore, 49/6 represents all the sandwiches which are vegetarian.

Answer:

15%

Step-by-step explanation:

\(\frac{7225-8500}{7225}=-15\%\)

Values of x for which the series converges are in the interval (1, 5).

To find the values of x for which the series converges, we will use the Ratio Test. The series is given by:

∑ (x − 3)ⁿ / 2n, n = 0 to ∞

1. First, let's find the ratio of the (n+1)th term to the nth term:

((x - 3)ⁿ⁺¹ / 2ⁿ⁺¹) / ((x - 3)ⁿ / 2ⁿ) = (x - 3)ⁿ⁺¹ * 2ⁿ / (2ⁿ⁺¹ * (x - 3)ⁿ)

2. Simplify the ratio:

((x - 3)ⁿ⁺¹ / (x - 3)ⁿ) * (2ⁿ / 2ⁿ⁺¹) = (x - 3) * (1/2)

3. Apply the Ratio Test, the series converges if the absolute value of the ratio is less than 1:

| (x - 3) * (1/2) | < 1

4. Isolate x:

-2 < x - 3 < 2

5. Add 3 to all parts of the inequality:

1 < x < 5

Series converging values are in the interval (1, 5).

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The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:

∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2

Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:

φ(x,y) = 11x^3y^2 + 11x^2y^2 + C

where C is the constant of integration.

Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

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Answer:

x ≈ 5.6 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin44° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{y}\) = \(\frac{x}{8}\) ( multiply both sides by 8 )

8 × sin44° = x , then

x ≈ 5.6 cm ( to 1 dec. place )

The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).

In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),

Using the distance formula, we can set up the following equation:

√[(x - (-1))² + (y - 5)²] = √2,

Simplifying this equation,

We get,

(x + 1)² + (y - 5)² = 2,

This equation represents a circle with center (-1, 5) and radius √2.

So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).

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The height of the tower is approximately 134.4 feet.

To find the height of the tower, we can use trigonometry. We have two right triangles formed: one with the angle of elevation to the top of the tower and another with the angle of depression to the bottom of the tower.

Let's consider the triangle with the angle of elevation. The opposite side of this triangle is the height of the tower, and the adjacent side is the distance from the building to the tower. U

sing the tangent function, we have tan(28°) = height/250. Solving for the height, we find that the height of the tower from the window is approximately 134.4 feet.

Similarly, in the triangle with the angle of depression, the opposite side represents the height of the tower, and the adjacent side is still the distance from the building to the tower. Using the tangent function again, we have tan(25°) = height/250. Solving for the height, we get the same value of approximately 134.4 feet.

Therefore, the height of the tower is approximately 134.4 feet.

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Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

A is the answer

the test of the options are not the answer

Given |x - 2| <= 4, which of the following equation is C. x - 2 <= 4 && x - 2 >= -4.

The absolute value of (x - 2) represents the distance between x and 2 on the number line. The inequality |x - 2| <= 4 means that the distance between x and 2 is less than or equal to 4.

To solve for x, we can break it down into two inequalities:
1. x - 2 <= 4, which means x <= 6
2. -(x - 2) <= 4, which means -x + 2 <= 4, then -x <= 2, then x >= -2

Combining these two inequalities, we get:
x - 2 <= 4 && x - 2 >= -4

Therefore, the correct answer is C.

When solving an inequality involving absolute value, it's helpful to break it down into two separate inequalities and then combine them. In this case, we found that the correct answer is C.

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Answer:

2.25 seconds.

Step-by-step explanation:

Answer:

142.86 miles

Step-by-step explanation:

150 + .35m < 200

150 + .35m -150 < 200-150

.35m < 50

.35m/35 < 50/.35

m < 142.86

The maximum distance I can drive the rv in a day if my budget $200 is, approx. 142 miles

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The cost to rent an rv is $150 per day +  $0.35 per mile

The maximum distance in a day = ?

Budget is $200

So,

The maximum distance in a day ≤ 200

The maximum distance in a day = 150 + 0.35x

Now,

⇒  150 + 0.35x  ≤ 200

⇒   0.35x  ≤ 200 - 150

⇒      x ≤ 142.85

Hence, maximum distance in a day is approx. 142 miles

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Since the sum of the numbers selected must exceed 1, we know that n must be at least 1. Therefore, the expected value of X is finite and is equal to 2.

The expected value of the count of numbers that are selected can be found using the geometric distribution, since it models the number of trials until a success occurs.

Let X be the number of numbers that are selected until the sum of all numbers exceeds 1. Then X has a geometric distribution with parameter p, where p is the probability of success on each trial, i.e. the probability that the sum of all numbers selected does not exceed 1.

Since the numbers are selected uniformly over [0, 1], the probability of success on each trial is given by the area under the curve between 0 and 1 after the first number is selected.

On the first trial, the probability of success is 1. On the second trial, the probability of success is the area under the curve between 0 and (1 - the first number selected).

On the third trial, the probability of success is the area under the curve between 0 and (1 - the sum of the first two numbers selected), and so on.

The expected value of X can be found using the formula for the expected value of a geometric distribution:

E(X) = 1/p

Since the expected value of the sum of n independent and identically distributed uniform [0, 1] random variables is n/2, we can use this to find p:

E(X_1 + X_2 + ... + X_n) = n/2

where X_1, X_2, ..., X_n are the n numbers selected.

So, p = 1 / (1 + n/2).

Finally, we can substitute this into the formula for E(X) to find the expected value of X:

E(X) = 1 / (1 - n/2) = 2 / (2 - n)

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Answer:

$272.50

Step-by-step explanation:

Answer: Not sure if this is 100% correct, but it should be.

Step-by-step explanation:

Answer:

9x

explanation:

you add the 7 to both sides

Answer:

one gallon is $3.80

Step-by-step explanation:

divide 28.12 by 7.4 then bam

Answer:

(4,0)

Step-by-step explanation:

Line segment EG is partitioned by point F in the ratio 1:3.

This means that:

\(F - E = \frac{1}{4}(G - E)\)

We use this equation to find both the x-coordinate and the y-coordinate of point G.

x-coordinate:

x-coordinate of E: 0

x-coordinate of F: 1

x-coordinate of G: x

Then

\(F - E = \frac{1}{4}(G - E)\)

\(1 - 0 = \frac{1}{4}(x - 0)\)

\(1 = \frac{x}{4}\)

\(x = 4\)

y-coordinate:

y-coordinate of E: 4

y-coordinate of F: 3

y-coordinate of G: y

Then

\(F - E = \frac{1}{4}(G - E)\)

\(3 - 4 = \frac{1}{4}(y - 4)\)

\(-1 = \frac{y-4}{4}\)

\(y - 4 = -4\)

\(y = 0\)

What are the coordinates of point G?

x = 4, y = 0, so (4,0).

Using the slope-intercept form, the slope is −12 . The equation of a perpendicular line to y=−12x+6 y = - 1 2 x + 6 must have a slope that is the negative reciprocal of the original slope. Simplify the result. Cancel the common factor of 1 1 and −1 - 1 .

The sale price of each pen if 10 pens are purchased at the rate of Rs 12.30 each and there is a total gain of Rs 24 is Rs 14.70

Total number of pens = 10

Cost of each pen = Rs 12.30

Total gain = Rs 24

Gain on each pen = Total gain / Total number of pens

= Rs 24 / 10

= Rs 2.4

The sale price of each pen = Cost of each pen + Gain on each pen

= Rs 12.30 + Rs 2.4

= Rs 14.70

Hence, each pen is sold at Rs 14.70

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Answer:

1/f(x)

Step-by-step explanation:

Answer:

on the value of the root may produce a value of the polynomial at the approximate root that is of the order of. For avoiding these problems, methods have been elaborated, which compute all roots simultaneously, to any desired accuracy. Presently the most efficient method is Aberth method.

If Argyle says that she has collected data that only tell her whether the cases are the same or different, one can accurately say that she has collected data on the nominal level.

The nominal level of measurement is the least strict type of data measurement in which the measurements or observations are grouped into distinct categories without a specific order or value structure. At this stage of measurement, variables are defined as categorical because the groups and categories can only be counted, which is usually done using frequencies and proportions.

The nominal level of measurement can take the form of either binary or multichotomous. Binary variables have only two groups, while multichotomous variables have more than two groups. Variables that are frequently used in this level of measurement include gender, race, or political affiliations.

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The measures of the angles of the rhombus are 106 degrees and 74 degrees.

To find the measures of the angles in the rhombus with the given condition, follow these steps:
1. Let the two angles between a side and the diagonals be x and y. According to the given information, the difference between these angles is 32 degrees, so we can write the equation:

x - y = 32.
2. In a rhombus, the diagonals are perpendicular bisectors of each other. This means that the diagonals divide the rhombus into four congruent right triangles.
3. Since the diagonals bisect the angles of the rhombus, we know that x + y = 180 (the angles are supplementary).
4. Now we have a system of two linear equations:
  x - y = 32
  x + y = 180
5. Add the two equations to eliminate the y variable:
  2x = 212
6. Divide both sides by 2 to find the value of x:
  x = 106
7. Substitute the value of x back into one of the equations to find the value of y (using x + y = 180):
  106 + y = 180
8. Solve for y:
  y = 74
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