What’s 2+2 as a decimal

Answer:

Step-by-step explanation:

3:7

find the number that 3 multiplies with to get 8 = 28

multiply: 7x28

84:196

find the number that 2 multiplies with to get 196= 98

multiply: 5x98

196:490

There are 196 bananas

There are 490 oranges

Answer:

b,c,d

Step-by-step explanation:

We have to simplify the given expression given (5x + 3y + (-x) + 6z).

We will use the process as given below.

1) We will identify the like terms, we have to add or subtract.

2) Like terms are those, which have the same variable of the same degree.

3) We get the simplified expression by combining the same terms.

5x + 3y + (-x) + 6z = 4x + 3y + 6z

Therefore, Options B, C and D will be the correct options.

A store received shipment of 37 tvs valued at 625 each what is the total value of the shipment?

37 * $625 = $23,125

Reptile stickers come in sheets of 6 and Marine Life stickers come in sheets of 9 .

Number of reptile sticker = 6

Number if marine sticker = 9C

Answer:

Hope this is correct

The most goals the team scored in a game is 8

From the question, we have the following parameters that can be used in our computation:

The box plot

The most goals the team scored in a game is the maximum of the box plot

From the box plot, we have

Maximum = 8

Using the above as a guide, we have the following:

Most goal = 8

Hence, the most goal is 8

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(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d)  The raw score corresponding to z = 1.5 is 37.5.

For a normal distribution with mean μ = 30 and standard deviation σ = 5:

(a) To find the z-score corresponding to x = 25, we use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (25 - 30) / 5 = -1

Therefore, the z-score corresponding to x = 25 is -1.

(b) To find the z-score corresponding to x = 42, we again use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (42 - 30) / 5 = 2.4

Therefore, the z-score corresponding to x = 42 is 2.4.

(c) To find the raw score (x) corresponding to z = -3, we use the formula:

z = (x - μ) / σ

Rearranging the formula, we get:

x = μ + zσ

Substituting the values, we get:

x = 30 + (-3) x 5 = 15

Therefore, the raw score corresponding to z = -3 is 15.

(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:

x = μ + zσ

Substituting the values, we get:

x = 30 + 1.5 x 5 = 37.5

Therefore, the raw score corresponding to z = 1.5 is 37.5.

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Answer:

B = 1/2 h(b1+b2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Get the roots first

y  = (x -1)(x - 2)

When y = 0, the two factors in turn can be equated to zero. That gives you the roots

x - 1 = 0        Add 1 to both sides

x = 1

x - 2 = 0       Add 2 to both sides

x = 2

Now you need to worry about the leading coefficient. Just put a 3 in front of the first factor.

y = 3(x - 1)(x - 2)            Remove the brackets.

y = 3(x^2 - x - 2x + 2)    Combine

y = 3(x^2 - 3x - 2)          Remove the brackets.

Answer: y = 3x^2 - 9x - 6

Answer:

B

Step-by-step explanation:

Given statement solution is :- The start of the tenth day, approximately 284.09 \(cm^3\) of helium will be left in the balloon.

To calculate the amount of helium left in the balloon at the start of the tenth day, we need to determine the remaining fraction of helium after each day.

Since the balloon loses one fourth of its helium each day, the fraction of helium remaining after one day is 1 - 1/4 = 3/4.

Similarly, after two days, the fraction of helium remaining is (3/4) * (3/4) = 9/16.

Continuing this pattern, we find that after ten days, the fraction of helium remaining is \((3/4)^(10)\) = 59049/1048576.

Now, let's calculate the amount of helium left in the balloon using this fraction:

Remaining helium = Fraction of helium remaining * Initial helium volume

= (59049/1048576) * 5000 \(cm^3\)

= 284.09 \(cm^3\) (rounded to two decimal places)

Therefore, at the start of the tenth day, approximately 284.09 \(cm^3\) of helium will be left in the balloon.

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Answer:

Step-by-step explanation:

Answer:

1

2

6

Step-by-step explanation:

1/2 +1/2 =1

length 1/2 ×4=2

wide 1/2 ×3 =1 1/2

height 1/2×3= 1 1/2

Answer:

in the info given the domain would be the number of bulbs packaged in a day and the range would be the number of defective bulbs.

The possible lengths of the rectangular parking lot are any value less than or equal to 80 feet or any value greater than or equal to 110 feet, as long as the width is calculated accordingly to satisfy the given conditions of the perimeter and area.

The possible lengths of the rectangular parking lot can vary, but they must adhere to the conditions of having a perimeter of 380 feet and an area of at least 8800 square feet.

Let's assume the length of the parking lot is L and the width is W. The perimeter of a rectangle is given by the formula P = 2L + 2W. In this case, we are given that the perimeter is 380 feet, so we can write the equation as 2L + 2W = 380.

Additionally, the area of a rectangle is given by the formula A = L × W. We are given that the area must be at least 8800 square feet, so we can write the inequality as L × W ≥ 8800.

To determine the possible lengths of the parking lot, we can use these equations. First, let's solve the perimeter equation for W: W = (380 - 2L)/2 = 190 - L. Next, substitute this value of W into the area inequality equation: L × (190 - L) ≥ 8800.

Simplifying this inequality, we get L² - 190L + 8800 ≥ 0. To find the possible values of L, we can solve this quadratic inequality. By factoring or using the quadratic formula, we can determine that the possible lengths are L ≤ 80 or L ≥ 110.

Therefore, the possible lengths of the rectangular parking lot are any value less than or equal to 80 feet or any value greater than or equal to 110 feet, as long as the width is calculated accordingly to satisfy the given conditions of the perimeter and area.

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The required breadth of the constructed pond would be 20 meters.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle and L is the length of the rectangle

As per the question, the data as:

Length of the park = 40 m

Total cost of fencing = Rs. 36000

Rate of fencing = Rs. 75 per meter

Quantity = Total Cost / Rate

Since the entire cost is Rs. 36000 when the pond is enclosed four times, it represents four times the perimeter.

4 (Perimeter) =  Rs. 36000/Rs. 75 = 480

Perimeter = 480/4 = 120 m

2(L + W) = 120 m

2(40 + W ) = 120 m

80 + 2W = 120 m

2W = 40

W = 20 m

Thus, the required breadth of the constructed pond would be 20 meters.

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The question seems to be incomplete the correct question would be:

Rohit constructed a rectangular pond of length 40 m for fish farming. He spent rs.36,000 to fence it with 4 rounds at rs 75 per meter. Find the breadth of the pond.

Answer:

Distributive property is not applied currently in Step 1

Step-by-step explanation:

3(x + 15) = y

3x + 45 = y rather than 3x + 15 = y

Answer:

525

Step-by-step explanation:

Since the submarine is 150 (you didn't specify the units) below sea level, we can express its position as -150. Therefore, 375 - (-150) = 375 + 150 = 525.

For the function f(x) = ⌊x²/3⌋, the values of f(s) for different sets s are as follows: a) f(s) = {1, 0, 0, 0, 1, 3}, b) f(s) = {0, 0, 1, 3, 5, 8}, c) f(s) = {0, 8, 16, 40}, d) f(s) = {1, 12, 33, 77}

The function f(x) = ⌊x²/3⌋ represents the floor of x²/3. To find f(s) for different sets s, let's evaluate it for each case:

a) For s = {-2, -1, 0, 1, 2, 3}:

  - For -2, (-2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For -1, (-1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  Therefore, f(s) = {1, 0, 0, 0, 1, 3}.

b) For s = {0, 1, 2, 3, 4, 5}:

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  - For 4, (4)²/3 = 16/3, and ⌊16/3⌋ = 5.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  Therefore, f(s) = {0, 0, 1, 3, 5, 8}.

c) For s = {1, 5, 7, 11}:

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  - For 7, (7)²/3 = 49/3, and ⌊49/3⌋ = 16.

  - For 11, (11)²/3 = 121/3, and ⌊121/3⌋ = 40.

  Therefore, f(s) = {0, 8, 16, 40}.

d) For s = {2, 6, 10, 14}:

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 6, (6)²/3 = 36/3 = 12.

  - For 10, (10)²/3 = 100/3, and ⌊100/3⌋ = 33.

  - For 14, (14)²/3 = 196

The values of f(s) for the given sets show how the function ⌊x²/3⌋, which represents the floor of x²/3, behaves for different inputs.

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Answer:

he paid a lot of money ouch

Sides KL and LM are shown to be the same. This means bothe the lower angles are also the same.

KML = 42 degrees

Solution:

The two bars on LM and LK define that both are congruent.

This means that:

Since ∠K is 42°, ∠M is also 42° because ∠K and ∠M are the bottom angles of the triangle.

\(17 \sqrt{2} \)

One of the angle of the triangle is 90 degrees which means it is a right angled triangle. Two angles are same i.e 45 degrees which means the angle is an isosceles triangle.

so, x = 17 (isosceles triangle)

then use pythagoreas theorem:

\(y = \sqrt{x {}^{2} + 17 {}^{2} } \)

and x = 17, so simplify and

\(y = \sqrt{17 {}^{2} + 17 {}^{2} } \)

so

\(y = 17 \sqrt{2} \)

From the calculation, the original number is obtained as 84.

We know that we are told in the question that in the question, we are required to obtain the number and that is what we are going to do below.

Let the tens digit be T and let the units digit be U

We can then write

10U+T = 10T+U-36

Since the reversed number is 36 less than the original number.

Then;

9U = 9T -36

Dividing both sides of the equation by  9

U = T -4

U=2U-4

U=4

T = 8

It then follows that the original number is 84.

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Answer:

22

Step-by-step explanation:

4x² + 3x = 4(2)² + 3(2) = 4(4) + 6 = 16 + 6 = 22

Answer: 22

the sample size used to construct this 90% confidence interval for p is approximately 386.

we need to use the given 90% confidence interval for the population proportion p: (0.26, 0.54) and the formula for constructing a confidence interval for a proportion. The formula is:
CI = p-hat ± Z × \(\sqrt{(phat × (1 - p-hat))}\) ÷ n]
where CI is the confidence interval, p-hat is the sample proportion, Z is the Z-score corresponding to the desired confidence level (in this case, 90%), and n is the sample size.
First, find the midpoint of the interval, which is the estimated sample proportion (p-hat):
p-hat = (0.26 + 0.54) ÷ 2 = 0.4
Next, determine the margin of error (half the width of the interval):
Margin of error = (0.54 - 0.26) ÷ 2 = 0.14
For a 90% confidence interval, the Z-score is approximately 1.645. Now we can set up the equation to solve for the sample size n:
0.14 = 1.645 × \(\sqrt{(0.4 × (1 - 0.4)}\) / n]
Square both sides and isolate n:
n = (1.645 × \(\sqrt{0.4 × 0.6} ^{2}\) ÷ \(0.14^{2}\) ≈ 385.35
Since the sample size must be a whole number, round up to the nearest integer:
n ≈ 386

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The distance of the swing of a pendulum decreases by a constant amount each swing. To find the distance of the swing at the tenth swing, you can use the formula:

distance at nth swing = distance at first swing * (1 - decay factor)^(n-1)

Where decay factor is the fractional decrease in distance per swing. In this case, the decay factor is (80 - 76) / 80 = 0.05. Plugging this into the formula above, we get:

distance at 10th swing = 80 * (1 - 0.05)^9 = 53.78 cm

So the distance of the swing at the tenth swing is approximately 53.78 cm.

The signal strength at 10 meters away from the transmitter will be 2.5 × 10⁻⁶  mW.

The Inverse Square Law states that the intensity of a signal decreases as the square of the distance from the source increases. In this case, the signal strength is given as 10⁻⁵ mW at a distance of 5 meters. To estimate the signal strength at 10 meters, we can use the formula:

Signal strength at distance 2 = (Signal strength at distance 1) / (Distance 2 squared / Distance 1 squared)

Plugging in the values, we have:

Signal strength at 10 meters = (10⁻⁵mW) / ((10 m / 5 m)^2)

                         = (10⁻⁵ mW) / (2^2)

                         = (10⁻⁵ mW) / 4

                         = 2.5 × 10⁻⁶ mW

Therefore, the signal strength at 10 meters away from the transmitter will be 2.5 × 10⁻⁶ mW.

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The curve with parametric equations x = sin(t), y = 3sin(2t), z = sin(3t) can be graphed in three-dimensional space. To find the total length of this curve, we need to calculate the arc length along the curve.

To find the arc length of a curve defined by parametric equations, we use the formula:

L = ∫ sqrt((dx/dt)^2 + (dy/dt)^2 + (dz/dt)^2) dt

In this case, we need to find the derivatives dx/dt, dy/dt, and dz/dt, and then substitute them into the formula.

Taking the derivatives:

dx/dt = cos(t)

dy/dt = 6cos(2t)

dz/dt = 3cos(3t)

Substituting the derivatives into the formula:

L = ∫ sqrt((cos(t))^2 + (6cos(2t))^2 + (3cos(3t))^2) dt

To calculate the total length of the curve, we integrate the above expression with respect to t over the appropriate interval.

After performing the integration, the resulting value will give us the total length of the curve. Rounding this value to four decimal places will provide the final answer.

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