1/5 divided 3=1/15 because

Therefore , the solution of the given problem of unitary method comes out to be any other restrictions or criteria would determine how many possible methods there are to shade 3/8 of the square.

Use the tried-and-true fundamental method, the actual variables, and any relevant information gleaned from general and specific questions to complete expression the assignment. Customers may be given another chance to taste the products in response. If these adjustments don't happen, we'll lose out on significant advancements in our understanding of programmes.

Here,

The phrase "shade 3/8 of the square" might be interpreted in a variety of ways, which might result in various solutions. Here are a few potential explanations and their accompanying responses:

1) The most straightforward interpretation is to shade 3/8 of the square as a single, continuous area.

There are countless ways to shade precisely 3/8 of the square in this interpretation.

2) Discrete Interpretation: Using a grid or discrete cells to shade 3/8 of the square.

The number of alternative ways relies on the size of the grid or the number of discrete cells if the square is divided into a grid or cells and the requirement is to shade exactly 3/8 of the cells. F

3) Interpretation based on constraints: Shading 3/8 of the square with specific restrictions.

In conclusion, the exact interpretation and any other restrictions or criteria would determine how many possible methods there are to shade 3/8 of the square. It is challenging to estimate the precise number of potential solutions in the absence of more details.

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Answer:

hey, there is no attached photo. so I don't know how to help

Answer:

Step-by-step explanation:

The expression equivalent to 3x^2y^3 is

A. ( 9x^4y^6)^1/2

The expression which is equivalent to  3x²y³ is \(\sqrt{9x^4y^6}\)

An expression is combination of variables, numbers and operators.

The given expression is 3x²y³

We have to find the equivalent expression of 3x²y³

x and y are the variables in the expression

Equivalent expressions are expressions that work the same even though they look different

\((9x^4y^6)^\frac{1}{2}\) is the equivalent expression

\(\sqrt{9x^4y^6}\)

3x²y³

Hence, the expression which is equivalent to  3x²y³ is \(\sqrt{9x^4y^6}\)

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Answer:

2

Step-by-step explanation:

cause

Answer:1,036

Step-by-step explanation:I did this in my head lol tell me if it’s wrong tho

Answer:

3/7

Step-by-step explanation:

12 ÷ 4

28 ÷ 4

Answer:

groundwater

Step-by-step explanation:

The slant height of the cone is about 11 cm. Using the Pythagorean theorem, the height is approximately 41.4 cm to the nearest tenth.

Use the formula for the lateral area of a cone: L = πrs, where L is the lateral area, r is the radius of the base, and s is the slant height.

Plug in the given values: L = 473π cm² and r = 43 cm. Then solve for s

L = πrs

473π = π(43)s

s = 473/43 ≈ 11

So the slant height of the cone is approximately 11 cm.

Use the Pythagorean theorem to find the height of the cone. Let h be the height of the cone. Then the Pythagorean theorem gives

h² + s² = r²

Substituting in the values for s and r, we get

h² + 11² = 43²

Simplifying this equation, we get

h² = 43² - 11²

Evaluating the right-hand side, we get

h² = 1764

Taking the square root of both sides, we get

h ≈ 41.4

So the height of the cone is approximately 41.4 cm to the nearest tenth.

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Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:

33 units²

Refer to the attached page

I've shown the complete calculation over there.

Answer: 33

Step-by-step explanation:

one easy way to do it is by finding the area of the 4 triangles.

because the top two and the bottom two are the same that helps a lot. The first triangle is 9 times three and then cut your answer in half. Do the same thing for the other 9 times three triangle you will end up with 27. for the top two you would multiply 3 times two to get 6 cut 6 in half to get 3. do the same or the other triangle and now you just have to add.

3 plus 3 plus 13.5 plus 13.5

to get 33

Work Shown:

sand/gravel = 5/3

x/750 = 5/3

3x = 750*5

3x = 3750

x = 3750/3

x = 1250

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

answer/explanation:

hope this helps

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Answer:

Well -7>-7.5

Step-by-step explanation:

Negative numbers are that the Humber that is closest to 0 is the greatest. Like in -7 and -7.5, the -7 is closer to 0 so its greater.

Answer:

the answer to your question is -7.5<-7

Answer:

X=12

Step-by-step explanation:

Answer:

x=10,y=120

Step-by-step explanation:

3x-30=60 CDA

3x=30

x=10

again,

y+60=180 straight line

y = 120

The Lagrange interpolating polynomial of degree 1 is P₁(x) = (f₁ - fo)x + (foxo - f₁xo) / (x₁ - xo).

To derive the Lagrange interpolating polynomial of degree 1, let's consider two distinct points: (x₁, f₁) and (xo, fo). The Lagrange interpolating polynomial of degree 1 can be expressed as:

P₁(x) = L₁(x)f₁ + L₂(x)fo,

where L₁(x) and L₂(x) are the Lagrange basis polynomials defined as:

L₁(x) = (x - xo) / (x₁ - xo),

L₂(x) = (x - x₁) / (xo - x₁).

Substituting these expressions into P₁(x), we have:

P₁(x) = [(x - xo) / (x₁ - xo)]f₁ + [(x - x₁) / (xo - x₁)]fo.

Simplifying further:

P₁(x) = [f₁(x - xo) + fo(x - x₁)] / (x₁ - xo).

Expanding the numerator:

P₁(x) = [f₁x - f₁xo + fox - fox₁] / (x₁ - xo).

Finally, we can rearrange the terms to obtain the Lagrange interpolating polynomial of degree 1:

P₁(x) = (f₁ - fo)x + (foxo - f₁xo) / (x₁ - xo).

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Answer:

A) Yes. At a significance level of 0.05, there is enough evidence to support the claim that the mean water temperature is significantly below 100 °F.

B) P-value = 0.001

C) The probability of not rejecting the null hypothesis at α = 0.05 if the true mean is 104 °F is P(M>98.9)=1. This means that is almost impossible to reject the null hypothesis μ≤100 given that the true mean is 104.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean water temperature is significantly below 100 °F.

Then, the null and alternative hypothesis are:

\(H_0: \mu=100\\\\H_a:\mu< 100\)

The significance level is 0.05.

The sample has a size n=9.

The sample mean is M=98.

The standard deviation of the population is known and has a value of σ=2.

We can calculate the standard error as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{2}{\sqrt{9}}=0.667\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{98-100}{0.667}=\dfrac{-2}{0.667}=-3\)

This test is a left-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=P(z<-3)=0.001\)

As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the mean water temperature is significantly below 100 °F.

The critical value for this left-tailed test is zc=-1.645.

The null hypothesis would be accepted if the test statistic is higher than zc=-1.645. For a normal distribution with the parameters of the null hypothesis (μ=100, σ=2), this would correspond to a value of:

\(X=\mu+z\sigma/\sqrt{n}=100+(-1.645)\cdot 2/\sqrt{9}=100-1.1=98.9\)

This means that if we get a sample of size n=9 and mean bigger than 98.9, we will failed to reject the null hypothesis.

If the true mean is 104 °F, the probability of getting a sample mean over 98.9 for this sample size can be calculated as:

\(z=\dfrac{M-\mu}{\sigma/\sqrt{n}}=\dfrac{98.9-104}{2/\sqrt{9}}=\dfrac{-5.1}{0.6667}=-7.65\\\\\\P(M>98.9)=P(z>-7.65)=1\)

The probability of not rejecting the null hypothesis at α = 0.05 if the true mean is 104 °F is P(M>98.9)=1. This means that is almost impossible to reject the null hypothesis μ≤100 given that the true mean is 104.

Answer:

136 mm²

Step-by-step explanation:

\(A=a^{2} +2a\sqrt{\frac{a^{2} }{4} } +h^{2}\)

\(A=6^{2} +2(6)\sqrt{\frac{6^{2} }{4} } +8^{2}\)

\(A=36 +12\sqrt{\frac{36 }{4} } +64\)

\(A=36 +12\sqrt{9 } +64\)

\(A=36 +12(3)+64\)

\(A=36 +36+64\)

A = 136

Answer:

$400

Step-by-step explanation:

Lets money that Anthea got be 2x

than Barry's money be 5x and Carol's be x

Barry got $200 more than Carol

This means that 5x is 200 more than x

5x = x + 200

4x = 200

x = 50

The sum of money is 2x + 5x + x

so this is 8x

8x = 50 * 8 = 400

The perimeter of triangle ABC = 60 + 20√3  cm

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

In triangle ADB,

sin (30°) = AD/AB

1/2 = ( 10 √3 ) /AB

AB  = 20√3

In triangle ABC,

cos (30°) = AB/BC

√3 /2 =  20√3 / BC

BC = 40

tan (30°) = AC/AB

1/√3 =  AC/ 20√3

AC = 20

Perimeter of triangle ABC =  AB +BC  + AC

                                           = 20√3  +  40  + 20

                                           = 60 + 20√3

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Answer:

-7

Step-by-step explanation:

8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.

Answer:

172.27 in

Step-by-step explanation:

Apply the Sine Rule

Sine Rule is given as:

\( \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)} \)

c = x = ?

C = 180 - (52 + 48) = 80° (sum of triangle)

b = 130 in.

B = 48°

Plug in the values

\( \frac{130}{sin(48)} = \frac{x}{sin(80)} \)

Multiply both sides by sin(80)

\( \frac{130*sin(80)}{sin(48)} = x \)

172.274641 = x

x = 172.27 in. (to 2 decimal places)

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.

1 meter is equal to 39.37 inches.

To convert the units, we can set up the following conversion factor:

1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²

Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:

Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²

Acceleration in in/s² ≈ 15222.7568 in/s²

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

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Answer:

y=3(x-2)^2-12

please let me know if its right.