I need help with this, please. Find the length of a rectangle which when cut in half has an area of 300 square inches and whose width is one-sixth of the length.

Answer:

2,850

Step-by-step explanation:

190 x 15 = 2850

Answer:

Red = 43 more picket

Green = 49 more picket

Yellow = 66 more picket

Blue = 75 more picket

Step-by-step explanation:

Red = 32

Green = 26

Yellow = 9

Blue = 0

Total picket Dana needs = 300

She wants equal amounts of each of her four selected colors.

Each color = 300/4

= 75 picket per color

How many more of each color does Dana need to buy?

Red = 32

= 75 - 32

= 43 more

Green = 26

= 75 - 26

= 49 more

Yellow = 9

= 75 - 9

= 66 more

Blue = 0

= 75 - 0

= 75 more

Red = 43 more picket

Green = 49 more picket

Yellow = 66 more picket

Blue = 75 more picket

The value of the expression 20 / (-25 + x - 2(x - 10)) is -2.

To find the value of the expression when x = 5, let's substitute x = 5 into the given expression:

20 / (-25 + x - 2(x - 10))

First, simplify the expression inside the parentheses:

-25 + x - 2(x - 10)

-25 + 5 - 2(5 - 10)

-25 + 5 - 2(-5)

-25 + 5 + 10

-20 + 10

-10

Now, substitute this value back into the original expression:

20 / (-10)

Simplifying further:

20 / -10

-2

Therefore, when x = 5, the value of the expression 20 / (-25 + x - 2(x - 10)) is -2.

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Answer: 100

Step-by-step explanation:

Because 88.9% of the data falls between approximately 47.62 and Blank.

L = k/f, where k is the variational constant, is the formula for the inverse variation.

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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On solving the provided question, we can say that length of the rectangle pool is  is = 17.58

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

\((30+2x)(40+2x)-1200=3696\\1200+60x+80x+4x^2 -1200=3696\\4x^2 +140x-3696=0\\x=17.58 or -52.58\\\)

length is = 17.58

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Answer:

Step-by-step explanation:

1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.

2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.

So 5/4 x 1/2 is 5/8.

3. Lila will need 5/8 cups of raisins.

Answer:

If you are finding the amount for the variable x, then the answer is -3.

This is a reflection transformation because the shape of the polygon is identical, but flipped over the vertical line of reflection.

A polygon is a two-dimensional shape that consists of a closed line made up of a series of straight-line segments. The number of sides a polygon has determines its name. Common names for polygon shapes include triangle, square, pentagon, hexagon, and octagon. Polygons are used in everyday life, such as in architecture, engineering, and design. They are also used in mathematics, where they are studied for their properties and formulas. Polygons can be regular or irregular, convex or concave, and each has its own unique characteristics.

The coordinates of the vertices of the original shape are reflected across this line to obtain the coordinates of the vertices of the new shape. This type of transformation is also known as a line reflection.

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Based on the image provided, it appears that the polygon was reflected across a line of symmetry to produce the image shown. Therefore, the correct answer is A. Reflection.

what is a polygon?

A polygon is a two-dimensional geometric shape that is made up of straight lines connecting a sequence of points, which are called vertices. A polygon is a closed shape, meaning that the last vertex is connected to the first vertex to form a complete boundary.

A reflection is a transformation that involves "flipping" an object across a line of symmetry. In the image provided, the polygon appears to have been reflected across a vertical line of symmetry, which means that each point on one side of the line is reflected across the line to a corresponding point on the other side. The result is a mirror image of the original polygon.

A rotation, on the other hand, involves rotating an object around a fixed point. A dilation involves scaling an object up or down, while maintaining its shape. A translation involves moving an object without changing its size or shape.

In this case, we can eliminate rotation, dilation, and translation as options because the image of the polygon is not rotated, scaled up or down, or moved without changing its shape. Instead, it is flipped across a line of symmetry, which is characteristic of a reflection.

Therefore, based on the image provided, it appears that the polygon was reflected across a line of symmetry to produce the image shown. Therefore, the correct answer is A. Reflection.

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There are 5 inches between the two picnic areas on the map. Therefore, option A is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, a map of a national forest has a scale in which 1 inch represents 3 miles.

If two picnic areas in the national forest are actually located 15 miles apart, then on map it is 15/3 =5 inches

Therefore, option A is the correct answer.

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Answer:

x = 7

Step-by-step explanation:

6x - 9 = 33

6x = 33 + 9

6x = 42

x = 42 / 6

x = 7

6x - 9 = 33

6 x 7 - 9 = 33

42 - 9 = 33

33 = 33

Hope that helps!

Answer: x=7

Step-by-step explanation:

6x-9=33

for x

6x=33+9

6x=42

x=42/6

x=7

for checking put value of x

6*7-9=33

42-9=33

33=33

Answer: q³⁰

Explanation:

First just solve the first part using the exponent rules

p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.

Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.

Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰

The function with a greater stretch factor is the function graphed and the value is 3 times greater

The function with a greater stretch factor is the function which has a greater number multiplying the function

The given equation is a(x) = 1/3 x³ while the function graphed is b(x) = x³+ 2

The stretch factor is determined by the coefficients which are

a(x): 1/3 and b(x): 1

comparing this numbers

= b(x) / a(x)

= 1 / 1/3

= 3

this shows that b(x) which is 1 is greater by 3 times.

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Therefore, the height of the shorter building is \(233.32\) feet, rounded to the nearest foot.

The height of the shorter building can be found using trigonometry. Using the angle of depression of\(36.7°,\) the height of the building can be calculated as:

h = \(180/tan(36.7°) = 180/0.7744 = 233.32 feet\)

Using the angle of depression of 71.1°, the height of the building can be calculated as:

h =\(180/tan(71.1°) = 180/2.5092 = 71.76 feet\)

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Answer:

x = 4

-4x+21 => 5

Step-by-step explanation:

The given triangle in the picture is isosceles triangle which means that two sides of the triangle are equal.

So,

\(Side\ 1: -4x+21\\Side\ 2: -4x+21\\Side\ 3: 6\\Perimeter = 16\)

Now

Putting all the values in equation for perimeter

\(Side\ 1+Side\ 2+Side\ 3 = 16\\-4x+21 -4x+21 + 6 =16\\-8x +48 = 16\\-8x = 16-48\\-8x = -32\\\frac{-8x}{-8} = \frac{-32}{-8}\\x = 4\)

Putting x = 4 in side 1

\(=-4(4)+21\\= -16+21\\=5\)

Hence,

x = 4

-4x+21 => 5

a)1. True

2.False

3.True

4).False

b)Without knowing the sample size and standard deviation, we cannot determine the exact 90% confidence interval.

(a) For the content loaded Central Middle School data:

1. True: There is a 95% probability that μ (mean height) is between 54 and 58 inches.

This is the correct interpretation of the 95% confidence interval.

2. False: The confidence interval doesn't tell us the probability of the true mean or the margin of error being exactly as given. It only tells us the range where the true mean is likely to fall with 95% confidence.

3. True: If we took many additional random samples of the same size and from each computed a 95% confidence interval for μ, approximately 95% of these intervals would contain μ. This is the definition of a 95% confidence interval.

4. False: It's incorrect to say that μ would fall between 54 and 58 95% of the time. The correct interpretation is that if we computed multiple 95% confidence intervals, approximately 95% of those intervals would contain the true mean height.

(b) To determine the 90% confidence interval based on the same data:

Without knowing the sample size and standard deviation, any of the above answers could be the 90% confidence interval. Confidence intervals depend on the sample size, standard deviation, and desired confidence level. With the information given, we cannot determine the exact 90% confidence interval.

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Answer:

15 × 14 = 210 of the 2,800 admitted patients remained longer than a week, so 2,800 - 210 = 2,590 of those patients were released within one week.

Answer:

A. 25/33

B. 1/3

C. 1/33

D. 25/9

Answer:

\(\text{A. }25/33,\\\text{B. }1/3, \\\text{C. }1/33, \\\text{D. }25/9\)

Step-by-step explanation:

Recall that \(\frac{x}{9}=0.\overline{x}\) for \(x\in (1, 8)\). If multiple digits are repeating, increase the number of nines in the denominator as applicable.

Therefore, we have:

Part A:

"75" is repeating:

\(\rightarrow \frac{75}{99}=\boxed{\frac{25}{33}}\)

Part B:

"3" is repeating:

\(\rightarrow \frac{3}{9}=\boxed{\frac{1}{3}}\)

Part C:

"03" is repeating:

\(\rightarrow \frac{03}{99}=\frac{3}{99}=\boxed{\frac{1}{33}}\)

Part D:

"7" is repeating, but there is a terminating decimal 2.0 with it (\(2.\overline{7}=2.0+0.\overline{7}\)):

\(2+\frac{7}{9}=\frac{18}{9}+\frac{7}{9}=\boxed{\frac{25}{9}}\)

Answer:

1.05821886 ounces

Step-by-step explanation:

To convert 30 grams to ounces, use the conversion factor 1 ounce = 28.3495 grams.

Answer:

y=1

Step-by-step explanation:

6=2(y+2)

divide by 2 from both sides - 3=y+2

subtract 2 from both sides - 1=y

flip - y=1

Answer:

1 = y

Step-by-step explanation:

See attachment

Change the sample size from n  will increase the power of a statistical test. The correct answer is C.

Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.

This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.

The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.

Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.

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Answer:

area= w×l

4×1.2= 4.8m

volume= l×w×h

4×1.2×0.3= 1.44m

Answer:

The amount of saving is Rs.1000.

Step-by-step explanation:

Solution :

Let the,

So, solving for x.

\({\dashrightarrow{\tt{Expenditure + Saving = 2500}}}\)

\({\dashrightarrow{\tt{3x + 2x = 2500}}}\)

\({\dashrightarrow{\tt{5x = 2500}}}\)

\({\dashrightarrow{\tt{x = 2500 \div 5}}}\)

\({\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}\)

\({\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}\)

\({\dashrightarrow{\tt{x =500}}}\)

\({\star{\underline{\boxed{\tt{\red{x =500}}}}}}\)

Hence, the value of x is 500.

Thus,

\( \rule{300}{1.5}\)

Answer:

Option (B) is the correct answer.

Step-by-step explanation:

Let 'x' the starting point be

She walks down 2 flights to visit a friend.

so walking down means we need to add 2 units to the starting point x

\(x+2\)

Then he walks up 3 flights to deliver a message to a neighbor.

now subtracting 3 units from (x+2)

\(x + 2 - 3 = -1\)

x = -1 means now he is UP to 1 point where he started his flight.

Thus, he needs to walk down 1 more flight to reach her starting point

Thus, -1 is the number of flights Brandie must walk to get back to her starting point.

Therefore, option (B) is the correct answer.