The table shows the number of teaspoons of vanilla needed to make different batches of cookies.

Select one box from each row to describe how to find the number of teaspoons of vanilla needed to make n batches of cookies?

Answer:

2 1/3

1 4/3

2.333...

233.3...%

Step-by-step explanation:

The rounding of the number to 1 significant figure is-

216 × 876 = 180000

216 × 876

This number can be written in form of rounding to 1 significant figure as;

200 × 900 = 180000

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When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13  degrees

The distance between point a to point b = 5.3 feet

The length of the top side = 3 feet

Therefore, it will form a right triangle

Here we have to use trigonometric function

Here adjacent side and the hypotenuse of the triangle is given

The trigonometric function that suitable for the given conditions is

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ = 3 / 5

θ = cos^-1(3 / 5)

θ = cos^-1(0.6)

θ = 53.13 degrees

Therefore, the value of θ is 53.13  degrees

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Answer:

Step-by-step explanation:

Acceleration = (0.2 x g) = 1.96m/sec^2.

Accelerating force on 1kg. = (ma) = 1.96N.

1kg. has a weight (normal force) of 9.8N.

Coefficient µ = 1.96/9.8 = 0.2 minimum.

example, 75kg = (75 x g) = 735N.

Accelerating force = (735 x 0.2) = 147N

The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

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The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer:

The approximate number of people that could fit in the 1 mile stretch is 145,200 people

Step-by-step explanation:

The length of the street = 1 mile stretch

The width of the street = 45 ft

The depth of each sidewalk = 5 ft

1 mile = 5,280 ft

Therefore;

The area of the side walk on each side of the street = 5 × 5,280 = 26,400 ft²

The area of both side walks = 26,400×2 = 52,800 ft²

The area of the street = 45 × 5,280 = 237,600 ft²

The total area of the street = The area of the street + The area of both side walks = 237,600 ft² + 52,800 ft²

The total area of the street = 290,400 ft²

The area occupied by one person is at least 2 ft²/person

Therefore, the approximate number of people that could fit in the 1 mile stretch = (The total area of the street)/(The area occupied by one person)

The approximate number of people that could fit in the 1 mile stretch = 290,400 ft²/(2 ft²/person) = 145,200 people

The approximate number of people that could fit in the 1 mile stretch = 145,200 people.

Use the way that kids use i.e trial and error method .

Solution:-

The set given by

\(\\ \rm\longmapsto \left\{32+n,\dfrac{n}{8},\sqrt{n+225}\right\}\)

Lets understand

Come to 2nd one.

Come to third one

Lets think

Nearest squares to 225 are 196 and 289

We can't take 196 as we have to take a positive one other wise it will come in terms of i.

Take 289

\(\\ \rm\longmapsto n+225=289\)

\(\\ \rm\longmapsto n=289-225=64\)

Its divisible by 8 .

Rewrite the set

\(\\ \rm\longmapsto \left\{64+32,\dfrac{64}{8},\sqrt{225+64}\right\}\)

\(\\ \rm\longmapsto \left\{96,8,\sqrt{289}\right\}\)

\(\\ \rm\longmapsto \left\{96,8,17\right\}\)

Hence n=64

Answer:

The slope would be 1.

Step-by-step explanation:

The slope would be one becuase the equation would be y=1x+5.

Answer:

the equation would be y=x+5

so the slope is 1

Step-by-step explanation:

Answer:

9 minutes

Step-by-step explanation:

First, you will want to add up all the time spent per problem.

3(9.5)+2(8.25)=45

Then, divide 9 from 45. 45÷5=9.

Therefore, she would have spent 9 minutes per problem.

Answer:

1.25

Step-by-step explanation:

The answer would be: 1.25

Remember: Division (for fractions at least) Is actually multiplication.

I believe the term is - keep - change - flip

Answer:

Yes.

Step-by-step explanation:

1) Plug in the given numbers into the equation

4 < 2(-1) + 5

2) Simplify!

4 < -2 + 5

4 < 3

3) Is the statement 4 < 3 true?

Yes! 3 is less than 4, therefore this statement is true.

yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes yes

Answer:

y=6x

Step-by-step explanation:

y=mx+b

y=6x+b

b=y-intercept

m=slope

y-intercept =(0,0)

To derive p as the result, we apply the power of a power rule by taking the square root of p.

To derive the value of p from the expression p^(1/2), we need to apply the property of exponents known as the "power of a power" rule.

The power of a power rule states that when we have an exponent raised to another exponent, we can multiply the exponents. In this case, we have p raised to the power of 1/2, which can be written as p^(1/2).

To simplify this expression and derive the value of p, we can rewrite the exponent 1/2 as a square root (√). So, p^(1/2) is equivalent to the square root of p (√p).

Therefore, to derive p as the result, we apply the power of a power rule by taking the square root of p.

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Answer:

4.32 francs

Step-by-step explanation:

45p × £/(100p) × 9.6 francs / £ = 4.32 francs

Answer:

yes equation in standard form of advertising with a room stream NY

Answer:

The independent variable is the number of miles you walked.

Unfortunately, I do not know the dependant variable.

Step-by-step explanation:

so do it urself. :)

The triangle with side lengths of  48 in., 56 in., and 83 in.  is obtuse, because 832> 48² +56²

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

The side lengths of the triangles are 48 in., 56 in., and 83 in

The smallest side lengths are: 48 in., 56 in

The sum of the squares of these side lengths is

48^2+ 56^2

For the triangle to be obtuse, then the following must be true

83^2> 48² +56²

Evaluate the exponents

6889> 5440

The above inequality is true.

Hence, the triangle is obtuse, because 83^2> 48² +56²

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Answer:

D. 23/27

Step-by-step explanation:

The good news is, they wrote out all the possible options for you.

There are 27 possibilities in all, so that's our denominator.

They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.

Then, of the remaining 18, 14 include a W somewhere in there.

9 + 14 = 23 out of 27.

We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.

Please let me know if you have questions about this.

Answer:

A( 0,2)

Step-by-step explanation:

First A has the coordinates ( 2,2) then is translate 2 units to the left and is

A(2-2, 2) so is ( 0,2)

The number line inequality that best represents the possible number of shirts the company can ship in a package without playing extra for shipping is given by the image presented at the end of the answer.

Before putting any T-shirts in the box, the package weighs 1.5 oz. Each shirt weighs 5 oz, hence the total weight function for x shirts is given as follows:

y = 1.5 + 5x.

The maximum weight without needing to pay extra is of 13 ounces, hence the inequality is given as follows:

5x + 1.5 <= 13

x <= 11.5/5

x <= 2.3.

Which can be simplified as:

x <= 2.

(as the number of shirts is a countable amount).

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The margin of error for a 90% confidence interval for the proportion of all employees dissatisfied with their jobs, based on a survey of 200 employees where 44% reported dissatisfaction, is  0.068.

We can use the formula for the margin of error for a proportion:

ME = zsqrt((p_hat(1-p_hat))/n)

where z is the z-score associated with the desired level of confidence (90% in this case), p_hat is the sample proportion (0.44), n is the sample size (200), and sqrt is the square root.

From a standard normal distribution table, the z-score for a 90% confidence level is approximately 1.645.

Plugging in the values, we get:

ME = 1.645sqrt((0.44(1-0.44))/200)

ME ≈ 0.068

So the margin of error for a 90% confidence interval is approximately 0.068 or 0.068/1= 0.068 = 0.068 = 6.8% (rounded to 3 decimal places).

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--The given question is incomplete, the complete question is given

"A human resources consulting firm conducted a survey of 200 employees to determine how dissatisfed they were with their jobs. 44% of the employees said they were dissatisfied, what is the margin of error for a 90% confidence interval for the proportion of all employees that are dissatisfied with their jobs? Answer to 3 decimal places"--

The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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The Taylor series expansion by plugging in the values f(z) = f(z0) + f'(z0)(z - z0) + f''(z0)(z - z0)²/2,f(z) = (ln(sqrt(2)) + i (-π/4)) + (-1/2 - (1/2)i)(z - (-1 + i)) + (i/2)(z - (-1 + i))²/2

The principal value of the logarithm, denoted as Log z, is defined as follows:

Log z = ln |z| + i Arg(z)

The function Log z is analytic in the complex plane except for the branch cut along the negative real axis, which is the set of points of the form x + 0i where x ≤ 0. This branch cut is necessary to define a consistent argument (Arg) for the complex logarithm.

To expand the principal value of the logarithm in a Taylor series with centre z0 = -1 + i, the following formula for a complex function:

f(z) = f(z0) + f'(z0)(z - z0) + f''(z0)(z - z0)²/2! + f'''(z0)(z - z0)³/3! +

Let's start by finding the values of the function and its derivatives at z0 = -1 + i:

f(z0) = Log z0 = ln |-1 + i| + i Arg(-1 + i)

To find the modulus |z0|,use the distance formula in the complex plane:

|-1 + i| = sqrt((-1)² + 1²) = sqrt(2)

To find the argument Arg(-1 + i),use the inverse tangent function:

Arg(-1 + i) = atan(1/-1) = atan(-1) = -π/4

Therefore, f(z0) = ln(sqrt(2)) + i (-π/4).

Now, let's calculate the first derivative:

f'(z) = d/dz (ln |z| + i Arg(z))

= 1/z

At z = z0,

f'(z0) = 1/(-1 + i)

To simplify the expression, multiply the numerator and denominator by the conjugate of -1 + i:

f'(z0) = (1/(-1 + i)) × ((-1 - i)/(-1 - i))

= (-1 - i)/((-1)² - (i)²)

= (-1 - i)/(1 + 1)

= (-1 - i)/2

= -1/2 - (1/2)i

Now, let's calculate the second derivative:

f''(z) = d/dz (1/z)

= -1/z²

At z = z0,:

f''(z0) = -1/(-1 + i)²

To simplify the expression, square the denominator:

f''(z0) = -1/((-1 + i)²)

= -1/((-1 + i)(-1 + i))

= -1/(1 - 2i + i²)

= -1/(1 - 2i - 1)

= -1/(-2i)

= (1/2i)

= (1/2i) × (i/i)

= i/2

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The channel formed when the width and depth is greater than a few centimeters deep is a b) gully.

A gully is a type of channel that is formed by the erosion of soil by water, and is characterized by a steep-sided, narrow channel that is several meters wide and deep. Gullies are formed when water flows over the land and erodes the soil, creating a deep and narrow channel that can carry large amounts of water during heavy rainfall events.

Cut bank is a type of erosion that occurs on the outside of meandering channels, while a point bar is a depositional feature that forms on the inside of meandering channels. Rills are small channels that are typically less than a few centimeters deep, and are often found on hillslopes or other areas of gentle slope where water can easily flow.

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Answer:

yea yea

Step-by-step explanation:

Answer:

p = -30 + 20

Hope this helps!

The city circle has a total of 12 points when plotted on a scratch paper.

The city circle with a center at (0, 0) and a radius of 5.5 blocks can be plotted on a scratch paper. To determine the number of points on the city circle, we need to understand that each point on the circle corresponds to a unique pair of coordinates (x, y) that satisfy the equation of a circle.

The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the city circle is (0, 0), and the radius is 5.5 blocks. Thus, the equation of the city circle is:

x^2 + y^2 = (5.5)^2

To plot the city circle, we can start by drawing a coordinate grid on the scratch paper. Then, using the equation of the circle, we can plot various points on the circle by substituting different values of x and solving for y.

By selecting different values of x such as -5.5, -4, -3, -2, -1, 0, 1, 2, 3, 4, and 5.5, we can calculate the corresponding values of y using the equation of the circle. These points will lie on the circumference of the city circle.

Since the circle is symmetric with respect to both the x-axis and the y-axis, we can reflect the plotted points across these axes to obtain the complete circle. By doing so, we will have a total of 12 unique points on the city circle.

Therefore, the city circle has a total of 12 points when plotted on a scratch paper.

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