David gets half as many e-mails a day as his wife Nicky does. Together they have a total of 147 e-mails for today. How many e-mails did Nicky receive and how many e-mails did David receive?

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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The cost of the 28 inches and 36 inches diagonal Smart TVs, based on the quadratic cost function are;

28 - inch diagonal; $134

36 - inch diagonal; $165

A quadratic function is a function of the form f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The cost of the Smart TV as a function of the diagonal length is C(d) = 0.322·d² - 16.776·d + 351.444

The above function indicates that the cost of a Smart TV that is 28 inches long is; C(28) = 0.322 × 28² - 16.776 × 28 + 351.444 ≈ 134

The cost of a Smart TV with a diagonal of 36 inches is therefore;

C(36) = 0.322 × 36² - 16.776 × 36 + 351.444 ≈ 165

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Answer:

Graph 2

Step-by-step explanation:

See image attached. Hope this helps.

The second graph shown the polar curve at r = 7.

Given ,

Equation of polar curve = r = 2 + 5sin(θ)

We have to find ,

Which of following graph show polar curve ,

At  r = 2 + 5sin(θ)

The area between two curves in the polar coordinate system, first find the points of intersection, then subtract the corresponding areas.

First graph ;  r = 2 + 5sin(θ)

Where ,

\(\theta = 0\)

r = 2 + 5sin0

r = 2 + 5 (0)

r = 2

Second graph : r = 2 + 5sin(θ)

Where

\(\theta = \frac{\pi }{2}\)

Then,

r = 2 + sin\(\frac{\pi }{2}\)

r = 2 +5 ( 1 )

r = 2+5

r = 7

Third graph ;  r = 2 + 5sin(θ)

where

\(\theta = \pi\)

Then,

r = 2 + 5sin\(\pi\)

r = 2 + 5(0)

r = 2

Fourth graph ; r = 2 + 5sin(θ)

Where

r = 2 + 5sin\(\frac{3\pi }{2}\)

r = 2 + 5 (-1)

r = -3

Fifth graph ; r = 2 + 5sin(θ)

Where

\(\theta = 2\pi\)

r = 2 + 5sin(2π)

r = 2+ 5 (0)

r = 2

Comparing all the value of the graph ,the second graph shown the polar curve at r = 7.

Hence, The second graph shown the polar curve at r = 7.

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Step-by-step explanation:

The equation has infinite solution p=2 that's tour variable

Insured = 72%.

Uninsured = 28%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Here is a table classifying 116 thousand US households (in thousands) in

2013 by tenure and insurance status:

Insurance status      Owns home   Rents home

Insured                              71                13

Uninsured                         27               5

Total house = 71 + 13 + 5 + 27 = 116

Insured = (71 + 13)/116 = 72%.

Uninsured = (5 + 27)/116 = 28%.

Therefore, 72% = insured and 28% = uninsured.

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Answer:

False

Step-by-step explanation:

Answer:

1/6 of a cup

Step-by-step explanation:

You're trying to figure out what 1/3 subtract 1/2 is, right?

Well first, convert both of them so they both have the same denominator.

Common Denominator = 6

So, 1/3 is 2/6 and 1/2 is 3/6 and 2/6 plus 3/6 is 5/6. Well, what's left in the cup? 6/6 subtract 5/6 is 1/6

Hope that helps!

Hey there!

The length of the hypotenuse is about 11 centimeters.

To solve this, we use the formula \(a^2+b^2=c^2\), where \(c\) is the hypotenuse leg and \(a\) and \(b\) are the other sides. So we can plug the numbers in to the formula:

\(5^2 + 10^2 = c^2\)

Now we get the squares of 5 and 10:

\(25 + 100 = c^2\)

Add 25 and 100:

\(125 = c^2\)

Take the square root from both sides:

\(11.18033... = c\)

The length of the hypotenuse is about 11 centimeters.

Hope it helps and have an amazing day!

The length of Hypotenuse = 11.18 cm

In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

Given,

In right angle ΔABC

AB = 5 cm

BC = 10 cm

AC = ?

By the Pythagoras theorem,

AC² = AB² + BC²

AC² = 5² + 10²

AC² = 25 + 125

AC = √125 = 11.18

Hence, 11.18 cm is the length of Hypotenuse AC .

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To add 2/3 and 3/4, we need to find a common denominator. The smallest common multiple of 3 and 4 is 12, so we can convert the fractions to have a denominator of 12:

2/3 = 8/12

3/4 = 9/12

Now we can add the two fractions:

8/12 + 9/12 = 17/12

The sum of 2/3 and 3/4 is 17/12. However, this fraction is an improper fraction, so we can simplify it by dividing the numerator and denominator by their greatest common factor, which is 1:

17/12 = 1 5/12

Therefore, the sum of 2/3 and 3/4, expressed as a fraction in lowest terms, is 1 5/12.

Answer:

Phrases 2 and 4.

Step-by-step explanation:

6.5x+1.5<21

The sum of 1.5 and the product of 6.5 and a number is no greater than 21.

The product of 6.5 and a number, when increased by 1.5 is at most 21.

HOPE IT HELPS

(FROM CROSS)

Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

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Answer: Expanded notation form 80 +30   +6 and Expanded Factors form 8 ×100  +3 ×10+6 ×1  

Step-by-step explanation: Hope this helped! :)

Answer:

The answer is 49.! :)

Step-by-step explanation:

If you look at the table, it shows 3;7. If you look at the 21 in the 2 row, and look under it in the other orange row its 49. So the answer would be 49! :)

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Step-by-step explanation:

5m-3m (2m-9)' when m = 4

substitute letters for numbers

=5(4)- 3(4) (2(4)–9)

=20 - 12 (8-9)

= 8(-1)

= 8 × -1

= –8

Pls remark brainliest.

Hi, let me help you out!

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We have the expression \(\tt{5m-3m(2m-9)}\), and we are asked to evaluate it when \(\tt{m=4.}\)

In order to evaluate this expression for the given value of m, plug in 4 for m, and then, using PEMDAS (below), simplify.

PEMDAS is an acronym that will help you remember the Order of Operations. Each letter there stands for an operation:

\(\underbrace\)

Now that we know the operations, let's evaluate the expression \(\tt{5m-3m(2m-9)}\) for \(\tt{m=4.}\)

Plug in 4 for m:

\(\tt{5(4)-3(4)(2(4)-9)}\)

Simplify using PEMDAS:

\(\tt{5(4)-3(4)(8-9)}\)

Simplify further:

\(\tt{5(4)-3(4)(-1)}\)

There are no exponents, so we do Multiplication next:

\(\tt{20+12}\)

Add:

\(\tt{32}\)

Hence, we conclude that the answer is \(\tt{32}\).

I hope this helps! Have an awesome day!

If you need any explanation or clarification, kindly let me know, and I will comment and/or edit my answer. :D

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Answer:

x = 7/3.

Step-by-step explanation:

DE is parallel to BC and AD= DB and AD = EC.

So, AD/DB = (x+1)/(4x-6)

(x + 1)/(4x - 6) = 1

x + 1 = 4x - 6

1 + 6 = 4x - x

3x = 7

x = 7/3.

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Answer:

48

Step-by-step explanation:

16×3=48

therefore the answer is forty eight

Answer:1/6 can be represented as a fraction of a whole unit, where the whole unit is divided into 6 equal parts. Each of these parts represents 1/6 of the whole.

1/2, on the other hand, represents half of the whole unit, so it is twice as much as 1/6.

To visualize this, you can think of a ruler divided into 6 equal parts. 1/6 would represent 1 mark on the ruler, while 1/2 would represent 3 marks. To have the same length as 1/2, you need to add up 3 marks, or 3 copies of 1/6.

You can also think of this as converting 1/6 to a common denominator, which in this case is 6. 3 copies of 1/6 is equal to 3/6 or 1/2.

Step-by-step explanation:

1/6 can be represented as a fraction of a whole unit, where the whole unit is divided into 6 equal parts. Each of these parts represents 1/6 of the whole.

1/2, on the other hand, represents half of the whole unit, so it is twice as much as 1/6.

To visualize this, you can think of a ruler divided into 6 equal parts. 1/6 would represent 1 mark on the ruler, while 1/2 would represent 3 marks. To have the same length as 1/2, you need to add up 3 marks, or 3 copies of 1/6.

You can also think of this as converting 1/6 to a common denominator, which in this case is 6. 3 copies of 1/6 is equal to 3/6 or 1/2.

An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

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Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

The fraction of the area of polygon H of polygon G's area would be: 1/16.

When a polygon is formed by enlarging or reducing an original polygon by a scale factor, the new polygon formed is similar to the original polygon.

The scale factor = new dimension/original dimension

Given that polygon H is the new polygon formed when polygon G is reduced by a scale factor of 1/4, thus, we would have the following:

Area of polygon H/Area of polygon G = square of the side of polygon H/square of the side of polygon G = square of the scale factor of dilation

Area of polygon H/Area of polygon G = 1²/4² = 1/16

This implies that the area of polygon G is 16 units² while the area of polygon H is 1 units².

Thus, the fraction of the area of polygon H of polygon G's area would be: 1/16.

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Answer:

1899

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 3234

Standard deviation = 871

Percentage of newborns who weighed between 1492 grams and 4976 grams:

1492 = 3234 - 2*871

So 1492 is two standard deviations below the mean.

4976 = 3234 + 2*871

So 4976 is two standard deviations above the mean.

By the Empirical Rule, 95% of newborns weighed between 1492 grams and 4976 grams.

Out of 1999:

0.95*1999 = 1899

So the answer is 1899

\(2^3 \cdot \sqrt 2\\\\=2^3 \cdot 2^{\tfrac 12}\\\\=2^{3+ \tfrac 12}\\\\=2^{\tfrac 72}\)

Answer:

2^3 x 2^1/2 = 2^7/2

Step-by-step explanation:

Law of indices state that:

a^n × a^y = a^n+y

root 2 is the same thing as 2^1/2

so we can write this equation as;

2^3 × 2^1/2 = 2^3+1/2 = 2^7/2

Answer:

0.088 is the answer...

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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A change in demand means that the entire demand curve shifts either left or right. A change in quantity demanded refers to a movement along the demand curve, which is caused only by a chance in price.

Answer:

it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)