The average person spends about 1/10 of their walking hours with their eyes closed. If Mrs. James was awake for 15 1/2 hours today, how much more time did she have her eyes open than closed.? PLEASE HELP

The height of the triangle is 19.36cm.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having precisely two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Here, we have

Given:  An isosceles triangle has congruent sides of 20 cm. The base is 12 cm.

An isosceles triangle has two congruent sides. The height of an isosceles triangle is also the median and the perpendicular bisector of the triangle dividing the base in half and forming two congruent right triangles.

we use the Pythagorean theorem to solve for the triangle's height.

a² + b² = c²

5² + h² = 20²

h² = 400 - 25

h² = 375

h  = 19.36cm

Hence, the height of the triangle is 19.36cm.

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The correct equation of exponential function is  [tex]f(x) = 6 * (\frac{1}{3} )^x[/tex]

What is an exponential function?

An exponential function is one that has the formula f (x) = [tex]a^{x}[/tex], where x is a variable and a constant that serves as the function's base and must be greater than 0.

Given,

         starting value = 6

          constant ratio = 1/3

The general form of an exponential function

                [tex]f(x) = ab^{x}[/tex]

      where a = starting value i.e when x = 0

                  b = rate of change in exponential equation

  So substituting our given values in the above equation, the exponential function is

           [tex]f(x) = 6 * (\frac{1}{3} )^x[/tex]

Now the value 6 can be divided by 3 only if the value of x = 1

          [tex]f(1) =\frac{6}{3} = 2[/tex]

If x = 5, then equation becomes,

          [tex]f(5) = 6 * (\frac{1}{3} )^5 = \frac{2}{81}[/tex]

So we cannot simply divide 6 by 3 without considering the value of x.

Therefore the correct equation of exponential function is

           [tex]f(x) = 6 * (\frac{1}{3} )^x[/tex]

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Answer:

rawr :)

Step-by-step explanation:

Answer: The graph that represents a function is the parabola that opens to the left.

This can be determined by the following characteristics of the graph:

It is a parabola because it opens to the left and has a vertex on the y-axis.

It crosses the y-axis at (0, 3) and (0, negative 3), which means that it is symmetric about the y-axis, and also it crosses the x-axis at (9, 0) which means that it is a function.

A circle is not a function because, for any value of x, there are two different values of y that can be plotted on the graph (i.e. the point (5,0) and (-5,0) produce two different y values)

A straight line with a positive slope is not a function because, for any value of x, there is only one value of y that can be plotted on the graph.

So the parabola is the graph that represents a function.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The lowest temperature recorded is the furthest away from the average norm by 41.9 degrees.

Step-by-step explanation:

115-98.6= 16.4

98.6-56.7= 41.9

1. The radius is 7feet and the height is 40 feet

2. The amount of gas filled in tank is 6,154.4 feet³.

Given that the diameter of the cylindrical tank = 14 feet

Length of cylindrical tank = 40 feet

Diameter of cylindrical tank = 14 feet

Radius of cylindrical tank = 14 / 2 = 7 feet

Amount of gas filled in tank = Volume of tank

Amount of gas filled in tank = πr²h

Amount of gas filled in tank = (3.14)(7)²(40)

Amount of gas filled in tank = (3.14)(49)(40)

Amount of gas filled in tank = 6,154.4 feet³

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Answer:

30miles

Step-by-step explanation:

As you can see in the graph, the distance between tim and jan is creating 2 right triangles

You can solve this using pythagoras theorem,

Triangle (1) :

[tex] x^{2} = {5}^{2} + {12}^{2} \\ {x} = \sqrt{{5}^{2} + {12}^{2} } \\ = \sqrt{169 } \\ = 13[/tex]

X (1) = 13 miles

Triangle (2):

[tex] {x}^{2} = {15}^{2} + {8}^{2} \\ x = \sqrt{ {8}^{2} + {15}^{2} } \\ = \sqrt{289} \\ = 17 [/tex]

X(2) = 17 miles

Now, the distance = x(1) + x(2)

= 13 + 17

=30 miles

Therefore, Tim and Jan are 30 miles apart

The equivalent exponential expression for this problem is given as follows:

(2/x)² = 4/x².

The expression for this problem is defined as follows:

(2/x)².

We have a fraction that is squared, meaning that both the numerator and the denominator are squared, hence:

This means that the equivalent exponential expression for this problem is given as follows:

(2/x)² = 4/x².

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Answer: 12, 16, 20, and 320.

Step-by-step explanation:

The value of x can be solved as follows, take note of the numbers you will need to drag to complete the equations:

4x + 12x = 320 (segment addition postulate)

16x = 320 (combining like terms)

x = 20 (dividing both sides by 16)

We would end up with the value of x, which equals 20.

Numbers that we end up using are: 12, 16, 20, and 320.

The scale factor in the image depicting a similar triangle is solved to be

The term similar triangles as used in geometry means that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence when the size of the triangles are in equal proportions and the size of the angles are equal then the triangles are said to be similar triangles

Examining the figure shows the scale factor is sought as follows

using side 28

let the scale factor form smaller to larger be k

k = length of larger side / length of smaller side

k = 28 / (28 - 8)

k = 28 / 20

k =1.4

The scale factor is 1.4

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Answer:

hasn't done nothing but I think it is matrix

The annual sales is 322,511.6 in 4 years.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Record sales are increasing by 6% each year.

And, 260,090 records were sold this year.

Now, We have;

Record sales are increasing by 6% each year.

Hence, After 4 years;

The annual sales = 260,090 + 4 × 6% of 260,090

                           = 260,090 + 4 × 6/100 × 260,090

                           = 260,090 + 62,421.6

                           = 322,511.6

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Answer:328,358

Step-by-step explanation:

The statement "She did not visit France and she did not visit Italy" using De Morgan's laws will be C. She did not cost France if a only if she did not visit Italy.

The complement of the product of all terms is equal to the complement of each term added together. Similarly, the product of the complements of each term equals the complement of the sum of all the terms.

The intersection of their complements is the complement of the union of two sets, and the union of their complements is the complement of the intersection of two sets.

In conclusion, the correct option is C.

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Answer: Each chicken wing costs $2.30 ✅

Step-by-step explanation:

To find out how much each wing cost, we need to divide the total cost of the wings by the number of wings.

We can use the formula:

Cost per item = Total cost / Number of items

In this case:

Cost per wing = $16.10 / 7 wings

To find the cost of each wing we divide 16.10 by 7.

$16.10/7 = $2.30

Each chicken wing costs $2.30

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Answer:

[tex]\huge\boxed{\sf \$ 2.3}[/tex]

Step-by-step explanation:

Given that,

7 chicken wings = $16.10

Divide both sides by 7

1 chicken wing = $16.10/7

[tex]\rule[225]{225}{2}[/tex]

Therefore , the solution of the given problem of surface area comes out to be area of the shaded area equals 50.

The surface area of an object is an estimate of the entire amount of space it takes up. A three-dimensional shape surface area refers to the entire area surrounding it. The overall area of a muti shape is its surface area. The surface area of a cuboid can be calculated by adding the faces of each of its six rectangular sides. The following equation could be used to name the box's dimensions: Surface (SA) equals 2lh, 2lw, and 2hw. The surface area of a three-dimensional shape represents the overall area.

Here,

Square has an area of 100 a 2 = 100 a=10

QC=(1/2) AC=10/2=5,

BR=(1/2), and BD=10/2=5.

CD=AB=10=AC=BD

size of the triangle QCD is defined as: =(1/2)QCCD

= >(1/2)510=25.

size of the triangle ABR is =(1/2) ×AB×BR

=>( 1/2 ) ×10×5=25

Area of the darkened area equals area of square 2 area of triangles,

which is 100 (25+25)=50.

Area of the shaded area equals 50.

Therefore , the solution of the given problem of surface area comes out to be area of the shaded area equals 50.

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The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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Answer:

6

Step-by-step explanation:

For dividing fractions it's also useful to know that the first fraction (3/4) is called the dividend and the second fraction (1/8) is called the divisor.

Here is a really quick way to divide fractions. In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign:

3/4 times 8/1

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

So we multiply the numerators: 3x8=24

Then multiply the denominators: 4x1=4

Then we have the inproper fraction 24/4

So we divide 24 by 4 to make the answer a proper fraction

Finally you get your answer 6!

The way to determine x, which is the price per pound of the grapes is B. Subtract 5.28 from 7.32 and then divide the difference by 2.4.

To find the price per pound of the grapes, you first needed to find the price of the grapes alone, without the cost of the watermelons.

This price of the grapes can be found by the formula :

= Total cost of fruit - Cost of watermelon

= 7. 32 - 5. 28

= $ 2. 04

Then, you can find the cost of each pound of grapes by the formula :

= Cost of grapes / Pounds of grapes purchased

= 2. 04 / 2 . 40

= $ 0. 85

In summary, you can find the price per pound of the grapes when you Subtract 5.28 from 7.32 and then divide the difference by 2.4.

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The full question is:

Zara bought 2.4 pounds of grapes and a watermelon that cost $5.28. The total cost of the fruit was $7.32. Which describes a way to determine x, the price per pound for the grapes?

Answer:

6

Step-by-step explanation:

f(x)=2x-8

f(7)=2(7)-8

f(7)=6

Answer:

Step-by-step explanation:

f(7)=2x-8
f(7) = (2)(7)-8

f(7) = 14-8
f(7) = 6

Answer:

The expression is a mathematical representation of an algebraic problem. The final form of the expression would be 75y -5 after combining like terms.

Here's the breakdown of the steps:

125y - 5 - 50y = (125-50)y -5 = 75y - 5

So the final simplified form of the expression is 75y -5.

Answer:

-18

Step-by-step explanation:

The equation of the line that passes through the points (17,10) and (8,10) is y = 10.

Slope is a measure of the steepness of a line or a linear function. It is often represented by the letter "m" and is calculated as the ratio of the change in the y-coordinates of two points divided by the change in the x-coordinates of those same two points. In other words, it is the ratio of the "rise" to the "run" of the line. The slope of a line can be positive, negative, zero, or undefined.

The slope-intercept form of a linear equation is a way to represent the equation of a line in the form of y = mx + b, where m is the slope and b is the y-intercept of the line. The y-intercept is the point where the line crosses the y-axis, and it is represented by the value of b. This form of the equation is useful because it allows us to easily identify the slope and y-intercept of a line, as well as to graph the line using these values.

Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the slope is:

m = (10 - 10) / (8 - 17) = 0

Use the point-slope form of the equation, y - y1 = m(x - x1)

In this case, the point slope form is:

y - 10 = 0(x - 17)

Simplify the above equation, we get:

y = 10

The equation of the line in slope-intercept form is:

y = 10

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Answer:

[tex]\bf x+23=64[/tex]

Step-by-step explanation:

you can try x+23=64

Let's solve it:-

[tex]\sf x+23=64[/tex]

Subtract 23 from both sides:-

[tex]\sf x+23-23=64-23[/tex]

[tex]\bf x=41[/tex]

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Hope this's what you're looking for!

Have a great day!

Answer:

How about this:

290 / 8 * 2 - 31.5

Step-by-step explanation:

I dunno if that's hard enough, but there you go!

Answer: (8*10) + (8*7)

Step-by-step explanation: This would be distributing the 8 to both numbers while still adding the two products

Answer: 136

Step-by-step explanation:

When you do distributive Property, you are multiplying everything right before the parenthesis, with everything inside the parenthesis.

8 x (10 + 7)

1. Multiply 8 by 10 to get 80

2. Multiply 8 by 7 to get 56

Now you have: (80 + 56)

3. Add the numbers

80 + 56 = 136

Answer:

x² + y² - 4x - 6y - 3 = 0

Step-by-step explanation:

Formula for equation of circle when the radius r and centre (a,b) is given:

(x-a)² + (y-b)² = r²

(x-2)² + (y-3)² = 4²

Expanding the brackets;

x² - 4x + 4 + y² - 6x + 9 = 16

x² + y² - 4x - 6x + 4 + 9 = 16

x² + y² - 4x - 6x + 13 = 16

x² + y² - 4x - 6x + 13 - 16 = 0

x² + y² - 4x - 6x - 3 = 0 Ans.

Answer:

17

Step-by-step explanation:

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