Estimate 407,001 -184,652

The solution of the equation 3z minus 2 is equal to 46 is 16.

The given equation '3z minus 2 is equal to 46' can be written as

    3z - 2  =   46

Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:

   3z = 46  + 2

   3z =  48

   z = 48/3

   z = 16

The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.

Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.

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6358.023 km is the greatest distance that can be filmed, given that the radius of the Earth is approximately 6358 km.

To find the greatest distance that can be filmed when the cameras in a drone are set to film toward the horizon, we need to consider the curvature of the Earth.

When a drone is flying at the maximum allowed altitude of 400 feet (approximately 0.12 km), the line of sight from the drone's cameras will form a tangent to the Earth's surface. We can consider this tangent line as forming a right triangle with the Earth's radius (6358 km) as the hypotenuse.

Using the Pythagorean theorem, we can calculate the distance from the drone to the horizon as follows:

distance to horizon = \(√(radius^{2} + altitude^{2})\)

distance to horizon = \(√((6358 Km)^{2} + (0.12 Km^{2}))\)

distance to horizon ≈ \(√((40405664 Km)^{2} + (0.144 Km^{2}))\)

distance to horizon ≈  \(√40405664.0144 Km^{2}\)

distance to horizon ≈ 6358.023 km

Therefore, the greatest distance that can be filmed when the cameras in the drone are set to film toward the horizon is approximately 6358.023 km.

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Answer:

4x² + 26x - 3 = 0

Step-by-step explanation:

We assume the width of the frame is the same along all sides and is x.

The length of the painting plus the frame is 7 + 2x, or 2x + 7.

The width of the painting plus the frame is 6 + 2x, or 2x + 6.

(2x + 7)(2x + 6) = 45

4x² + 12x + 14x + 42 = 45

4x² + 26x - 3 = 0

The value of the final number with the given steps and operations is 32

Given that

Represent the number with x

So, we have

x - 11 = 37

Add 11 to both sides

So, we have

x = 48

Divide by -12

We get

x/-12 = -4

Multily by -8

-8x/-12 = 32

hence, the final number is 32

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The percent yield of zinc carbonate is 5.91%.

The chemical reaction is the reaction between two reactants which led to the formation of products.

The products are substances which forms after reaction. The reactants are the substances which are original materials.

Given is a reaction between 1.7 moles of zinc iodide and excess sodium carbonate yields 12.6 grams of zinc carbonate.

The given balanced equation is:  Na₂CO₃ + ZnI₂ → 2NaI + ZnCO₃

From given moles of zinc iodide, the moles of zinc carbonate

1.7 moles of ZnI₂ = 1.7 moles of ZnCO₃

Molar mass of zinc carbonate is 125.38 g/mol

Theoretical yield =  1.7 moles of ZnCO₃ x  125.38 g/mol = 213.15 g  ZnCO₃

Theoretical yield is 213.15 g and the actual yield is given as 12.6 g.

percent yield = [ 12.6 g / 213.15 g  ZnCO₃ ] x 100

percent yield = 5.91%

The percent yield of zinc carbonate is 5.91%.

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Answer:

\(h(7) - 3 = \: 5 {(7)}^{2} + 11 - 3 \\ = 5(49) + 8\)

answer: the answer is 253

Answer: 5/10

Step-by-step explanation:

because there is three balls each and you could pick either a red one or a green one

The length of the line segment AB is 4.8 units

To find the length of the line segment AB in the convex quadrilateral ABCD with given information, we can use the following steps:

Step 1: Identify the given information
We are given that \(AT = 3 units\) , \(TD = 6 units,\)  \(TC=10 units\) and angle sum is 180 degrees.

Step 2: Utilize the Angle Bisector Theorem
Since lines AB and CD intersect in point T, we can apply the Angle Bisector Theorem to triangle ATC, with TD being the angle bisector. The theorem states that the ratio of the lengths of AT to TB is equal to the ratio of the lengths of CT to TD:

\(\frac{AT}{TB} = \frac{CT}{TD}\)


Step 3: Plug in the given values and solve for TB
Using the given values, we can set up the equation:

\(\frac{3}{TB} = \frac{10}{6}\)

To solve for TB, we can cross-multiply:

\(3(6)=10(TB)\\18=10(TB)\)

Now, divide both sides by 10:

Step 4: Find the length of line segment AB
To find the length of AB, we simply add the lengths of AT and TB:
\(AB = AT + TB\)

\(AB = 3 + 1.8\)

\(AB = 4.8 units\)

So, the length of the line segment AB is 4.8 units.

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Answer:13cm

Step-by-step explanation:

Answer:

I need help on this to anyone please

Answer:

x <= 9.75

Step-by-step explanation:

W = x

L = 3x

P = 2L + 2W <= 78

2(3x) + 2(x) <= 78

6x + 2x <= 78

8x <= 78

x <= 9.75

Answer:

it's the first one girl! :)

Step-by-step explanation:

Answer:

That is correct at least to what know...

Step-by-step explanation:

The projected error of this sample would be an understatement of $2,000.

Hence, the correct option is A.

Step 1. In a probability-proportional-to-size sample, the projected error can be determined by calculating the difference between the recorded amount and the audit amount, and then scaling it up to the population using the sampling interval.

Step 2. Given:

Sampling interval = $5,000

Recorded amount = $10,000

Audit amount = $8,000

Step 3. Projected error = (Audit amount - Recorded amount) * (Population size / Sample size)

Step 4. In this case, since it is mentioned that this is the only error discovered by the auditor, the sample size can be assumed to be 1.

Projected error = ($8,000 - $10,000) * (Population size / 1)

Step 5. Since the error is the difference between the recorded amount and the audit amount, and the audit amount is lower than the recorded amount, it indicates an understatement.

Therefore, the projected error of this sample would be an understatement of $2,000.

Hence, the correct option is A.

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Answer:

7.3 ft

Step-by-step explanation:

The information given represents a right angle triangle with the following:

reference angle = 52°

Adjacent side length = 5.7 ft.

Opposite side length = height of the statue = h

Applying the trigonometric ratio formula, we would have:

\( tan(52) = \frac{h}{5.7} \)

Multiply both sides by 5.7

\( tan(52) \times 5.7 = \frac{h}{5.7} \times 5.7 \)

\( tan(52) \times 5.7 = h \)

\( h = 7.3 ft \) (nearest tenth)

Answer:

You want to maximize x and minimize y

Maximum y = 8

Minimum y = 10

8-10= -2

Answer:

1.875 cups of sugar

Step-by-step explanation:

Find what 3/4 of 2.5 is

2.5 x 0.75 = 1.875 cups of sugar

The probability of being dealt a 3, 4, 5, 6, 7, all in the same suit is approximately 0.0000031.

To calculate the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit, we can use the following formula:

P = (number of favorable outcomes) / (total number of possible outcomes)

the order in which the cards are chosen does not matter, so we need to divide by the number of ways we can arrange 5 cards, which is 5! (5 factorial).

Therefore, the total number of possible outcomes is (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1), which simplifies to 2,598,960.

Finally, we can calculate the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit:

P = 8 / 2,598,960

P = 0.00000308 (rounded to seven decimal places)

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Answer:

-6

Step-by-step explanation:

-8=-2x+4    -8-4=2x   -12=2x  x= -12:2   x= -6

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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Answer:

ss

Step-by-step explanation:

sas

The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be r

Let the center of the circle be A ( 5 , 2 )

Let the point on the circle be P ( -3 , 4 )

Now , standard form of a circle is

( x - h )² + ( y - k )² = r²

So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²

On simplifying the equation , we get

r² = ( 8 )² + ( 2 )²

r² = 64 + 4

r² = 68

Taking square roots on both sides , we get

r = √68

r = 2√17

Hence , the radius of the circle is 2√17 units

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Answer:

Area = 100m²

Step-by-step explanation:

Given :

Height of triangle = 10 m

Length of base = 2 * height = 2 * 10 = 20 m

Area of right angle triangle :

1/2 * base * height

Area = 1/2 * 20 * 10

Area = 0.5 * 10 * 20

Area = 100m²

Answer:

you correct answer should be 17

Answer:

139.9 \(in^3\)

Step-by-step explanation

here r=3 in, h =15 in

Volime =(1/3)x3.14x9x15=139.9 \(in^3\)

hope this helps :)

Answer:

Step-by-step explanation:

25, i think

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

The median and IQR

Step-by-step explanation:

Hope it helps

The domain of any quadratic function is all real numbers (-∞, ∞) because the quadratic function's graph is a smooth curve that extends indefinitely in both directions.

Any quadratic function takes the form f(x) = ax² + bx + c, where a, b, and c are real numbers and a ≠ 0.

By convention, the domain of a quadratic function is always all real numbers, which can be expressed using interval notation as (-∞, ∞).

This is because any real number can be inputted into a quadratic function and result in a real number output.

In other words, the domain of a quadratic function is the set of all real numbers for which the function is defined.

Therefore, we can say that the domain of any quadratic function is all real numbers (-∞, ∞) because the quadratic function's graph is a smooth curve that extends indefinitely in both directions.

The graph of a quadratic function has a parabolic shape that opens either upwards or downwards, depending on the sign of the leading coefficient a.

The domain of a quadratic function is essential for determining the range of the function.

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If we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

This problem can be solved using dynamic programming. Let's define dp[i][j] as the number of combinations of coins using the first i coins to make up an amount j. Then we can use the following recurrence relation:

dp[i][j] = dp[i-1][j] + dp[i][j-coins[i]]

The first term on the right-hand side of the equation corresponds to the case where we don't use the i-th coin, while the second term corresponds to the case where we use the i-th coin at least once. Note that we only need to consider cases where j >= coins[i], because it's impossible to make up an amount less than the value of the i-th coin using that coin.

We can initialize dp[0][0] = 1, because there is exactly one way to make up an amount of zero using no coins. Finally, the answer to the problem is dp[n][amount], where n is the total number of coins.

Here's the Python code:

def change(amount, coins):

   n = len(coins)

   dp = [[0] * (amount+1) for _ in range(n+1)]

   dp[0][0] = 1

   for i in range(1, n+1):

       dp[i][0] = 1

       for j in range(1, amount+1):

           dp[i][j] = dp[i-1][j]

           if j >= coins[i-1]:

               dp[i][j] += dp[i][j-coins[i-1]]

   return dp[n][amount]

For example, if we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

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