Can someone help me with two geometry questions? They are in a PDF document that I attached.

# of different crust choices x # of different sauces x # of different sizes = the # of outcomes u'll end up w :)

Answer:abe

Step-by-step explanation:

The next numbers in the series will be 0,1,-2,-1,0,-3,-2,-1........

This refers to a pattern of arranging numbers. In the number series problems, we will have to make the rules that result in the formation of a number series.

From the question:

1, 2, 3, 0, 1, 2, -1

First value plus one, second value plus one, Third value minus three. Then the pattern starts afresh again.

1 +1 = 2

2 + 1 = 3

3 -3 =0

0+1  = 1

1 + 1 = 2

2 -3 =-1

-1 + 1 =0

0 + 1 =1

1  - 3 = -2

-2 + 1 = -1

-1 + 1 = 0

0 -3 = -3

-3 + 1 = -2

-2 + 1= -1

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Answer:

142.85

Step-by-step explanation:

1000 divided by 7

A reflection over the line y=x implies exchanging the x and y coordinates of a point. For example if you take a generic point (a,b) then its reflection over y=x is (b,a). Our point is (-1,3) so its reflection over y=x is the point (3,-1).

Then we have to translate it two units left. Translating a point left means that we are moving towards negative x values so we need to substract 2 from the x coordinate:

Finally we have to translate it 1 unit up towards positive y values so we have to add 1 to its y coordinate:

And these are the final coordinates. In the following picture you have the points you get after each step (from A to D) with the y=x line in blue:

The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.

An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.

To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.

The tangent of an angle is the ratio of the opposite side to the adjacent side,

So cot B = adjacent side / opposite side.

By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation

B = arctan(cot B).

Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,

B = arctan(cot B) = 56.31° (rounded to two decimal places)

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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".

Using the normal distribution, it is found that the cut off score for the top 10% is of 8.4 seconds. It means that a person with a time of 8.4 seconds or lower is in the faster 10% of runners.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

The lower the times, the faster the runners are, hence, the cut off score for the top 10% is the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.28 = \frac{X - 10.2}{1.4}\)

\(X - 10.2 = -1.28(1.4)\)

\(X = 8.4\)

The cut off score for the top 10% is of 8.4 seconds. It means that a person with a time of 8.4 seconds or lower is in the faster 10% of runners.

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Answer:

This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.

Step-by-step explanation:

x < 3 or x > 5

This means, x is less than 3, but greater than 5.

Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.

Answer:

  41/56

Step-by-step explanation:

The LCD is 7×4 = 28. With that denominator, the two fractions are ...

  5/7 = 20/28

  3/4 = 21/28

The average of the two values will be ...

  (5/7 +3/4)//2 = (20 +21)/28/2 = 41/56

_____

Additional comment

  5/7 ≈ 0.714285... (6-digit repeat)

  3/4 = 0.75

Then numbers like 0.72 = 18/25, or 0.73 = 73/100, or 0.74 = 37/50 will all be between the given fractions.

Of course, any terminating or repeating decimal in that range will also be a rational number. For example, 0.727272727272... = 8/11  will be a rational number in the required range.

Answer:

x = 7

y = 8

Step-by-step explanation:

4y-4 = 28

4y = 32

y = 8

10x+65 = 135

10x = 70

x = 7

Answer:

Step-by-step explanation:

(4y-4)=28

4y=32

y=8

(10x+65)=135

10x=70

x=7

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

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Answer:

6/52

Step-by-step explanation:

Answer:

6/52 or 3/26

Step-by-step explanation:

Answer:

(7-2√6)/10

Step-by-step explanation:

I assumed the fraction in the question was:

(√6 - 1) / (2√6 + 2)

Working is attached below.

The object will fall to 80 feet after 2.34 seconds.

The phenomenon that we witness in this problem is free fall. Free fall is when an object is allowed to fall freely. According to "Galileo's Law of Fall",

The distance traveled by an object is directly proportional to the square of the time taken by the object.

Also, when we derive the 2nd equation of motion we get the result,

s = ut+(1/2)at²

where,

s= displacement of the object

u= initial velocity of the object

a= acceleration applied to that object

t= time taken by that object

So, according to the question we know that the object falls 16 feet in 1 second,

that means according to the equation,

=16 = 0×1 + (1/2)a(1)²

= a  = 32 ft/sec²

So, for 80 feet,

= 80 = 0×t + (1/2)(32)(t)²

= t² = 80/16

= t = 2.34 seconds

So, the same object will take 2.34 seconds to fall 80 feet.

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Answer:

d

Step-by-step explanation:

The Ratio of area covered  with water to area covered by land is 2.43 * 10⁰

Area covered by water = 361,419,000 km²

Area covered by land = 148,647,000 km²

Ratio of area covered  with water to area covered by land is:

Ratio = 361,419,000 km² / 148,647,000 km² = 2.43 * 10⁰

The Ratio of area covered  with water to area covered by land is 2.43 * 10⁰

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Answer:

The function is an x exponential function.

The domain is infinite

The range is y<2

Answer:

Sarah will need 33 inches of ribbon

Step-by-step explanation:

Multiply 2 1/5 or 2.20 (inches) by 15 (bows)

Answer:  6

Step-by-step explanation:

Answer:

x = 105 degrees

Step-by-step explanation:

180 degrees total

180 - 75 = 105

x = 105 degrees

Answer:

16π

Step-by-step explanation:

Given that:

The sphere of the radius = \(x^2 + y^2 +z^2 = 4^2\)

\(z^2 = 16 -x^2 -y^2\)

\(z = \sqrt{16-x^2-y^2}\)

The partial derivatives of \(Z_x = \dfrac{-2x}{2 \sqrt{16-x^2 -y^2}}\)

\(Z_x = \dfrac{-x}{\sqrt{16-x^2 -y^2}}\)

Similarly;

\(Z_y = \dfrac{-y}{\sqrt{16-x^2 -y^2}}\)

∴

\(dS = \sqrt{1 + Z_x^2 +Z_y^2} \ \ . dA\)

\(=\sqrt{1 + \dfrac{x^2}{16-x^2-y^2} + \dfrac{y^2}{16-x^2-y^2} }\ \ .dA\)

\(=\sqrt{ \dfrac{16}{16-x^2-y^2} }\ \ .dA\)

\(=\dfrac{4}{\sqrt{ 16-x^2-y^2} }\ \ .dA\)

Now; the region R = x² + y² = 12

Let;

x = rcosθ = x; x varies from 0 to 2π

y = rsinθ = y; y varies from 0 to \(\sqrt{12}\)

dA = rdrdθ

∴

The surface area \(S = \int \limits _R \int \ dS\)

\(= \int \limits _R\int \ \dfrac{4}{\sqrt{ 16-x^2 -y^2} } \ dA\)

\(= \int \limits^{2 \pi}_{0} } \int^{\sqrt{12}}_{0} \dfrac{4}{\sqrt{16-r^2}} \ \ rdrd \theta\)

\(= 2 \pi \int^{\sqrt{12}}_{0} \ \dfrac{4r}{\sqrt{16-r^2}}\ dr\)

\(= 2 \pi \times 4 \Bigg [ \dfrac{\sqrt{16-r^2}}{\dfrac{1}{2}(-2)} \Bigg]^{\sqrt{12}}_{0}\)

\(= 8\pi ( - \sqrt{4} + \sqrt{16})\)

= 8π ( -2 + 4)

= 8π(2)

= 16π

Step-by-step explanation:

I'm sorry I can't answer that but I know something so you can answer that. search Chrome quickmath all your problems, equations and more can be solved

Answer:

c = 3/2x + −3/2

Step-by-step explanation:

Let's solve for c

-3x+2c=-3

Step 1: Add 3x to both sides.

2c −3x + 3x = −3 + 3x

2c = 3x −3

Step 2: Divide both sides by 2.

2c = 3x−3

2        2

c = 3/2x + −3/2

Answer:

c = 3/2x + −3/2

y=0.002x² +0.15x + 2 and y=x set best models the point of intersection of the arrow and the target because it accounts for the fact that the arrow is travelling in a parabolic arc, while the target is located on a straight line.

A parabolic arc is defined by its vertex, focus, and directrix. The arc can be used to describe the trajectory of a projectile, the shape of a satellite dish, or the shape of some suspension bridges.

The equation y=0.002x² +0.15x + 2 models the parabolic arc of the arrow's trajectory and the equation y=x models the straight line of the target.

This equation set is the only one that correctly models both the parabolic arc of the arrow and the straight line of the target.

To better understand why this equation set is the correct answer, let's look at the other equation sets.

The equation set y=-0.002x²+0.15x+2 and y=-x does not work because the equations do not model a parabolic arc and a straight line, respectively.

The equation set y=0.002x²+0.15x + 2 and y=0,2x does not work because the second equation, y=0.2x, does not model a straight line, but rather a line with a slope of 0.2.

Finally, the equation set y=-0.002x² +0.15x+2 and y = 0.2x does not work because the first equation, y=-0.002x² +0.15x+2, does not model a parabolic arc.

Therefore, the equation set y=0.002x² +0.15x + 2 and y=x is the correct answer because it is the only equation set that accurately models both the parabolic arc of the arrow and the straight line of the target.

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The expression is equivalent to 10w - 25 = 0

It is important to note that algebraic expressions are described as expressions that are made up of terms, variables, coefficients, factors and constants.

These expressions are also made up of arithmetic operations. These operations are;

From the information given, we have that;

D =  2w - w - 7

C = 3w - 6

To determine the value of the expression  D + 3C

substitute the expression

2w - w - 7 + 3(3w -6)

expand the bracket

2w - w - 7 + 9w - 18

collect the like terms and add

10w - 25 = 0

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Answer:

3x9=27

Step-by-step explanation:

i don't know if this is what you meant

Lena's total pay if she sells 29 copies of Math is Fun would be $4210.

Lena's total pay (P) to the number of copies of Math is Fun she sells (N) is:

P = 1600 + 90N

This equation shows that Lena's total pay is equal to her base salary of $1600 plus $90 for every copy of Math is Fun she sells.

To find Lena's total pay if she sells 29 copies of Math is Fun, we simply substitute N = 29 into the equation:

P = 1600 + 90(29)

P = 1600 + 2610

P = 4210

Therefore, Lena's total pay if she sells 29 copies of Math is Fun would be $4210.

9514 1404 393

Answer:

  91, including Mr. Jones

Step-by-step explanation:

The total cost for n people to go on the trip will be ...

  C(n) = 45n +1295

If Mr. Jones does not pay anything, this cost is divided among the remaining (n-1) persons, so the cost per person is ...

  \(c(n)=\dfrac{C(n)}{n-1}\\\\c(n)=\dfrac{45(n-1)+45+1295}{n-1}=45+\dfrac{1340}{n-1}\)

We want to find n such that c(n) < 60.

  \(45+\dfrac{1340}{n-1}<60\\\\\dfrac{1340}{n-1}<15\qquad\text{subtract 45}\\\\\dfrac{1340}{15}<n-1\qquad\text{multiply by $\dfrac{n-1}{15}$}\\\\90\dfrac{1}{3}<n\qquad\text{add 1}\)

A total of 91 people would need to attend in order for the cost per person to be less than $60.

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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Answer:x=−2

Step-by-step explanation:

Because x is continuous, we should use interval notation, the domain is:

D: [1, ∞)

For a function y = f(x), we define the domain as the set of possible inputs of the function (possible values of x).

To identify the domain, we need to look at the horizontal axis. The minimum value is the one we can see in the left side, and the maximum is the one we could see on the right side.

There we can see that the domain starts at x = 1 and extends to the left, so the notation we can use for the domain is:

D: x ≥ 1

We know that the value x =1 belongs because there is a closed dot there.

The correct option is A, because the domain is continuous (as we can see in the graph), we should use interval notation. In this case the domain can be written as:

D: [1, ∞)

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For the given logarithmic function, the exponential form is m = 25.

What is exponential function?

An exponential function is a mathematical function of the form f(x) = \(a^x\), where "a" is a positive constant (called the base of the exponential function) and "x" is the independent variable.

What is log?

In mathematics, a logarithm is an exponent that indicates how many times a certain number, called the base, must be multiplied by itself to produce a given value.

The exponential form of log 1/5 m = -2 is:

m = \((1/5)^{(-2)\)

Simplifying:

m = \(5^2\)

m = 25

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