By about how many years did life expectancy increase in the us between 1960 and 2010? 7 years 17 years 27 years

By using trigonometric relations, we will find that:

sin(θ) = (√33)/7 = √(33/49)

Remember that for a right triangle, we have the relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse).

Here we know that:

cos(θ) = 4/7

Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.

opposite cathetus = √(7^2 - 4^2) = √33

Then we can write:

sin(θ) = (√33)/7 = √(33/49)

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Answer:

The answer is D.

Step-by-step explanation:

Edge 2022

Answer:

The largest interger that satisfies the equation is 3

Step-by-step explanation:

If we subtract 10 from each side, we get 7x<=21

Then, we divide 7 on each side to get x<=3.

So the largest interger to satisfy the equation is 3

(Btw, <= means less than or equal to)

Hope this helped you, and have a great day!

Answer:

x<=3

Step-by-step explanation:

minus 10 fom both sides

7x + 10-10<=31-10

restate as

7x<=21

divid both side by same factor

7x/7 and 21/7

restate as

x<=3

Answer:

y = (x + 3)² - 9

Step-by-step explanation:

Parabolic Equation (with vertex) :

Answer:

9PM

Step-by-step explanation:

3pm - 40x3=120 Miles Travelled (Noon Train)

3pm - 60x0=0 Miles Travelled (3pm Train)

4pm - 40x4=160 Miles Travelled (Noon Train)

4pm - 60x1=60 Miles Travelled (3pm Train)

5pm - 40x5=200 Miles Travelled (Noon Train)

5pm - 60x2=120 Miles Travelled (3pm Train)

6pm - 40x6=240 Miles Travelled (Noon Train)

6pm - 60x3=180 Miles Travelled (3pm Train)

7pm - 40x7= 280 Miles Travelled (Noon Train)

7pm - 60x4=240 Miles Travelled (3pm Train)

8pm - 40x8 = 320 Miles Travelled (Noon Train)

8pm - 60x5=300 Miles Travelled (3pm Train)

9pm - 40x9 = 360 Miles Travelled (Noon Train)

9pm - 60x6= 360 Miles Travelled (3pm Train)

Answer:

Hey!

Well based on my knowledge it usually says that on the tissue box itself.... (in fine print)

i may be wrong.... but do check...

Explanation:

Volume of rectangular prism: Length * Width * Height

Solve:

1)

Volume: 9 * 9 * 9 = 9³ = 729 cm³

2)

Volume: 7 * 3 * 2 = 42 m³

3)

Volume: 7 * 7 * 7 = 7³ = 343 cm³

Answer:

Volume of the Earth is about 16.67 times bigger than Mercury's volume.

Step-by-step explanation:

Given:

[tex]V_E = 1 \times 10^{12} \text{ km}^3\\V_M = 6 \times 10^{10} \text{ km}^3[/tex]
[tex]V_E[/tex] is the volume of the Earth and [tex]V_M[/tex] is the volume of the Mercury.

Divide volume of the Earth with the volume of Mercury.

[tex]\frac{V_E}{V_M} = \frac{1 \times 10^{12} \text{ km}^3}{6 \times 10^{10} \text{ km}^3} = \frac{1 \times 10^{2}}{6} = \frac{100}{6} = \frac{50}{3} \approx 16.67[/tex]

Volume of the Earth is about 16.67 times bigger than Mercury's volume.

Answer:

The given equation is expansion of (a-b)²= a²-2ab+b²

[tex]\sqrt{25-10\sqrt{3} +3} \\ \sqrt{ {(5 - \sqrt{3})}^{2} } \\ (5 - \sqrt{3})[/tex]

Answer:

4

Step-by-step explanation:

The figure can be split into 2 triangles, the larger one is the whole figure with base 18 and height 9. while the other small triangle has base 8 and height h. Since they are both right angled triangles with a shared angle, they are similar.

With similar triangles, we get the ratio of base : height = 8 : 8+10 = h : 9

Hence, 8 : 18 can be simplified to 4 : 9, which is also equal to h : 9. From here, we get h = 4.

Answer:

4

Step-by-step explanation:

The figure can be split into 2 triangles, the larger one is the whole figure with base 18 and height 9. while the other small triangle has base 8 and height h. Since they are both right angled triangles with a shared angle, they are similar.

Answer:

25 percent.

Step-by-step explanation:

To begin we want to find the area of the small circle. That would be pi(r)^2 or 9pi after plugging in the 3 for the radius. We can only assume that the large circle is double the radius of the smaller circle so it would be 6. Plug 6 in and get 36pi for the area of that circle. 9pi/36pi will equal 0.25 and that will be your percentage. I hope this helped.

The approximate perimeter of the given shape is; 33.70cm.

It follows Fromm the task content that the perimeter of the shape can be determined by determining the length of the curved surface and the the other three outer surfaces as follows;

The perimeter of the shape is therefore; 18 + 15.70 = 33.70cm.

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Based on the information given in the table, the discrete quantitative variable would be the number of hotels.

This refers to a variable in a distribution that can only take on a specific value that is countable.

This means that the number does not go on forever. Examples of these are the number of fingers and toes you have.

The discrete quantitative variable from the options would therefore be the number of hotels that there are.

________________________________________________________

The rest of the question is:

Which of the variables is a discrete quantitative variable?

A:average temperature

B:number of hotels

C:beach access

D:location

________________________________________________________

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A function assigns the values. The average rate of change for the given function g(x) is 1.

A function assigns the value of each element of one set to the other specific element of another set.

The average rate of change of a function is given by the formula,

Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]

Where a is the lower limit and b is the upper limit.

Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,

a = 0

g(a) = 0²+10(0)+20 = 20

b = -9

g(b) = (-9)²+10(-9)+20 = 11

The average rate of change for the function g(x), can be written as,

[tex]\text{Average rate of change}= \dfrac{g(-9)-g(0)}{-9-0}=\dfrac{11-20}{-9} = 1[/tex]

Hence, the average rate of change for the given function g(x) is 1.

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Answer:

490.1 in^3

Step-by-step explanation:

In order to find the volume of a cylinder, you would multiply the area of the base b the height, so a cylinder with base [tex]26 \pi in^{2}[/tex] and height 6 in would be [tex]26\pi \times 6[/tex]

This multiplies to 490.08845396 when put in a calculator, and rounded to the nearest tenth, the answer is 490.1 in^3

Answer:

Sn=a1(1−rn)1−r,r≠1 C.

Answer:

similar

Step-by-step explanation:

Answer:

Similar

Step-by-step explanation:

For similarity or congruence we use ~ symbol not equal to

Answer:

88

Step-by-step explanation:

Part 1

Focus on triangle ABC.

Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.

Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.

Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees

========================================================

Part 2

Inscribed angle CBA was found to be 66 degrees back in part 1.

This doubles to 132 degrees to represent minor arc AC.

Or you could note that:

minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132

Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.

-----------

Here's what we know about the arc measures of the circle

These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.

Adding those 3 pieces gets us 132+48+96 = 276

This means minor arc AD has to be 360 - 276 = 84 degrees

Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD

84/2 = 42

C. The cost of 6 show tickets is $30.

bottom of graph represents number of tickets, look for 6 then go up till you hit the dot now go to the other side of the graph ( costs) and see which number the line hit which is 30

The volume of the sphere will be V = 1570.79 cubic cm.

The Volume of the sphere is the amount of quantity, which is obtained in the 3-dimensional space. A sphere is a circular ball type three dimensional object.

Given that:-

The volume of the sphere will be calculated as:-

V  =  4 π r³

V =  4  x   π   x  ( 5)³

V  =  1570.79 cubic cm

Therefore the volume of the sphere will be V = 1570.79 cubic cm.

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By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.

According to analytical geometry, we could know the equation of the line by means of the point-slope equation:

y - y₁ = m · (x - x₁)     (1)

Where:

If we know that m = -1/3 and (x₁, y₁) = (-3, -3), then the line equation is:

y + 3 = -(1/3) · (x + 3)

y + 3 = -x/3 -1

y = -x/3 - 4

Lastly we proceed to graph the function by a graphing tool (i. e. Desmos).

By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.

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Answer:

... There isnt answer choices...

Answer:

the new points/coordinates would be (3,0) and (3,-3) and (-3,-3)

Step-by-step explanation:

this is because you use column vectors and draw a cross at the centre of enlargement then find out how many spaces you need to go right and up for each of the coordinates. then times that by -3 and use your answers to go left and down from the centre (3,3)

Answer:

d) x(x-8)

Step-by-step explanation:

Both of the denominators in the problem have to be in the common denominator. It needs the x because of the 6/x and it also needs to have x-8 because of the right side of the equation.

Answer:

d x(x - 8).

Step-by-step explanation:

That would be x * (x - 8)

The triangle PAT is an isosceles triangle because the side lengths PA and AT are congruent

The points are given as:

P = (1,6)

A = (4,5)

T = (5,2)

Calculate the distance between both points as follows:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]PA = \sqrt{(1 -4)^2 + (6-5)^2}[/tex]

[tex]PA = \sqrt{10}[/tex]

[tex]PT = \sqrt{(1 -5)^2 + (6-2)^2}[/tex]

[tex]PT = \sqrt{32}[/tex]

[tex]AT = \sqrt{(4 -5)^2 + (5-2)^2}[/tex]

[tex]AT = \sqrt{10}[/tex]

Because the side lengths PA and AT are congruent, i.e. √10, then the triangle is an isosceles triangle

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Answer:

Julia can afford 5 stops including the initial fee

Step-by-step explanation:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

$21 - $5  ÷ $2.75 = 5 with remainder

Using the normal distribution and the central limit theorem, the probability the sample mean is more than 10 words is of 0.0210.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 8.6, \sigma = 4.3, n = 39, s = \frac{4.3}{\sqrt{39}} = 0.6885[/tex]

The probability that the sample mean is more than 10 words is one subtracted by the p-value of Z when X = 10, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{10 - 8.6}{0.6885}[/tex]

Z = 2.03.

Z = 2.03 has a p-value of 0.979.

1 - 0.979 = 0.021.

The probability the sample mean is more than 10 words is of 0.0210.

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This is not a valid conclusion because the data was not randomly collected from various classes in the school but from a particular class.

The collection of data for a research work should be done in such a way as to include a good number of the test subjects.

The sampling methods that can be used to gather better data include the following:

These methods will ensure that a good number of the test subjects are included in the research work in order to form a valid conclusion.

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Answer: the one on the bottom left

Step-by-step explanation:

Answer:

If you invest $4000 at 2% compounded quarterly you will make 4,694$.

Step-by-step explanation:

Answer:

$4686.64

Step-by-step explanation:

here is the function 4000(1+0.02)^8

Answer:

377.2 cm³

Step-by-step explanation:

Applied Formula :

Volume (cylinder) = πr²h

============================================================

Given :

⇒ r = 3.1 cm

⇒ h = 12.5 cm

=============================================================

Solving :

⇒ V = 3.14 x 3.1 x 3.1 x 12.5

⇒ V = 9.734 x 38.75

⇒ V = 377.2 cm³ (nearest tenth)

Volume

V=πr²h

Done!