Guadalupe quiere saber la longitud de un túnel construido a través de una montaña. Para ello, ella toma las medidas indicadas en la figura a continuación. Utilizar estas medidas para hallar la longitud del túnel.

Llevar a cabo los cálculos intermedios usando al menos cuatro posiciones decimales.
Redondear la respuesta a la décima de metro más cercana.

Answer:

Step-by-step explanation:

A salary is the amount of money that an employee receives from their employer each month, particularly if they work in a profession like education, law, or medical

His weekly salary prior to the increases is $897.45.

An employee's pay is the amount of money that they are given each month by their employer, particularly if they work in an occupation like education, law, or medicine.

For instance, the lawyer received a big salary.

Given,

Ron Fortini received a 5.20% merit increase

2.75% cost-of-living increase

His new weekly salary is $968.80.

Solution:

Let's take his initial salary as x.

The total increase in Ron's salary = 5.20%+2.75% = 7.95%

i.e.,

107.95% * x = $968.80

107.95/100*x = 968.80

x = 968.80 * 100/107.95

x = 897.45

His weekly salary prior to the increases is $897.45.

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Step-by-step explanation:

1:10000

means we are using the same metric on the map and in reality.

just 1 unit in the map corresponds to 10000 units in reality.

so, e.g. 1 cm on the map = 10000 cm in reality.

1 m = 100 cm

so, 10000 cm = 100 m.

therefore, 1 cm on the map = 100 m in reality.

but we need 5 km = 5000 m.

that is 50 times 100 m in reality or 1 cm on the map.

so, the length on the map is 50 cm.

Answer:

option d

Step-by-step explanation:

y=mx+c

6= -5*2+c

c=6+10

c=16

Answer:

0.95

Step-by-step explanation:

19/20

19÷2/20÷2

9.5/10

0.95

since y=AsinKx.......1

so amplitude =|A|=1

We can simplify the mathematical expression to get:

[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} } = 4*\sqrt{2/11}[/tex]

Here we have the mathematical expression:

[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} }[/tex]

Remember the rule:

[tex](a + b)*(a - b) = a^2 + b^2[/tex]

Then the numerator can be rewritten as:

[tex]\frac{(5 + \sqrt{3})*(5 - \sqrt{3} ) }{\sqrt{22} } = \frac{5^2 - \sqrt{3}^2 }{\sqrt{22} } = \frac{25 - 9}{\sqrt{22} } = \frac{16}{\sqrt{22} }[/tex]

notice that 16*16 = 256 then we can rewrite:

[tex]\frac{16}{\sqrt{22} } = \sqrt{\frac{256}{22} } = \sqrt{\frac{128}{11} } = \sqrt{\frac{4*4*2}{11} }= 4*\sqrt{2/11}[/tex]

That is the expression simplified.

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The amount of flour needed for 2/3 of a batch of cookies is [tex]1\frac{1}{6}[/tex].

Given:

Amount of flour required for one batch of cookies = [tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]

Amount of flour needed for 2/3 of a batch of cookies =  [tex]\frac{2}{3} * \frac{7}{4}[/tex]  =  [tex]\frac{7}{6}[/tex] = [tex]1\frac{1}{6}[/tex]

Therefore, the amount of flour required for 2/3 of a batch of cookies is [tex]1\frac{1}{6}[/tex].

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a) Ratio in fraction form to compare the number correct to the total questions for each test is [tex]\frac{17}{20}[/tex].

b) Yes, we compare these two ratios as they are written.

Jamaya got a better answer on the test on her second test, and you could compare these two ratios as they are written.

a)

First: Convert the each of scores into the percentages:

How do you convert the ratios to percentages? Well, first we have to convert ratio to a decimal or a fraction. Let's convert it to fraction. So, 19 out of 25 will become fraction [tex]\frac{19}{25}[/tex], and 17 out of 20 will become fraction [tex]\frac{17}{20}[/tex] . To convert fraction to percentage:

Divide numerator by denominator:

19 ÷ 25 = 0.76                                        AND                           17 ÷ 20 = 0.85

Multiply the quotient by 100

0.76 x 100 = 76                                      AND                        0.85 x 100 = 85

Add percent sign

76%                                                          AND                                                   85%

Now, two quantities are easier to compare. We can obviously see that 85% is the bigger [and better] than 76%. So, ratio that equals 85% - 17 out of 20 - is a better grade.

b)

Yes, you can compare the these two ratios, just find [positive] difference between the amount that she scored and the total number of scores that could be gained.

25 - 19 = 6

20 - 17 = 3

Since equation with 20 and 17 in it has a smaller difference, it is most likely to have a greater value [because that means that Jamaya got more right and less wrong, which means a greater mark which is also greater quantity].

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Answer:

13/ The Y-intercept is 4.95 b/c we know that m is the x, so we just need to plug in 0 for it and we will get the Y-intercept as 4.95.

14/ I don't know how to attach the graph

15/ $11.95

c= 0.05(140) + 4.95 = $11.95

Answer:

n = 27

Step-by-step explanation:

n + 6 + 2n + 3 + 90 = 180

solve for n then n = 27

hope this helped

have a good day ^^

Answer:

the discrete and cont is 2-4 or 3-4

domain should be 3

range thats ezzzzz thats 3,4

function, umm bud your on your own for that :D

Step-by-step explanation:

We have to calculate the number of seconds for the flare to return to the sea.

We have an initial vertical speed of 448 ft/s.

The only force acting on the flare is gravity.

Then, we can model the heigth in function of time using the equation:

where h0 = 0 ft, vy = 448 ft/s and g = 32 ft/s².

Then, we can replace and calculate t for h(t) = 0, that is the time it took the flare to come back to the initial height (that is 0 ft):

Answer: it will take 28 seconds for the flare to return to the sea [Third option].

Answer: 100 = 4x + 6y

Step-by-step explanation:

We have a total of 100 guests, small tables seat 4, and large tables seat 6. So for each small table used, 4 guests are subtracted from the total.

x = small tables

y = large tables

The value of x in the triangle that we are to solve is 11

we have the sum of angles that are in a triangle to be = 180

such that we have to sum all of the triangles that we have here

10x + 9 + 3x + 13 + x + 4 = 180

we have to take the like terms

10x + 3x + x + 9 + 13 + 4 = 180

14x + 26 = 180

14x = 180 - 26

14x = 154

divide through by 14

x = 154 / 14

= 11

Therefore the value of x is 11

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Ella got a higher test score (ratio of correctly spelled words to total words) in the current week when she spelled 13 out of 15 words correctly.

In last week, Ella spelled 16 out of 20 words correctly which is 16:20 in ratio terms and is equivalent to 0.8 (in decimal terms) or 80% in percentage terms.

In current week Ella spelled 13 out of 15 words correctly which is 13:15 in ratio terms and is equivalent to 0.866... (in recurring decimal terms) or 86.7% in percentage terms.

86.7% being greater than 80%, Ella scored higher in current week than in last week's spelling test.

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ANSWER : 4x-3y

EXPLANATION:

Answer:

-7 -8 -9 -10 -11 -12 -13 -14 -15

Step-by-step explanation: Integers are just numbers that are not fractions or decimals so like any number

The proportional relation:

y = 2*x

Tells us how many cups of water we need for x scoops of coffee, with this we can see that for 5 scoops we need 10 cups.

We know that for one small scoop of coffee, you need to add 2 cups of water. Then we can write the proportional relation:

y = 2*x

Where x is the number of scoops of coffee and y is the number of cups of water.

if x = 5, then:

y = 2*5 = 10

y = 10

So for 5 scoops of coffee, you need 10 cups of water.

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Answer:

y=26

Step-by-step explanation:

3y=78

3 x 26 = 78

y = 26

The domain is time (t) and the range is distance (d).

Answer:

A

Step-by-step explanation:

The volume of the right rectangular prism= 1/3 cubic inches

In this question, we have been given a right rectangular prism is packed with cubes of side length 1/6 inch.

We need to find the volume of the rectangular prism if the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height.

The length of the rectangular prism would be,

l = 12 × 1/6

l = 2 inches

The width of the rectangular prism would be,

w = 3 × 1/6

w = 1/2 inches

The height of the rectangular prism would be,

h = 2 × 1/6

h = 1/3 inches

so, the volume of the rectangular prism would be,

V = l × w × h

V = 2 × 1/2 × 1/3

V = 1/3 cubic inches

Therefore, the volume of the rectangular prism = 1/3 cubic inches

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Answer:

4765000

Step-by-step explanation:

Using the definition of the secant, the angle is given as follows:

θ = 112.6º.

The secant of an angle θ is given by one divided by the cosine of the angle θ, that is:

sec(θ) = 1/cos(θ).

In the context of this problem, the numeric value of the secant of the angle is given as follows:

sec(θ) = -13/5.

This means that the following relation can be established:

1/cos(θ) = -13/5.

Hence we can solve to find the angle measure as follows, applying cross multiplication:

-13cos(θ) = 5

cos(θ) = -5/13.

Applying the inverse cosine, we have that:

θ = arccos(-5/13).

θ = 112.6º.

This angle has equivalent on other quadrants, as for example, in the third quadrant the cosine is also negative. However, in the third quadrant, the tangent is positive and we want a negative tangent, which is why the measure is of θ = 112.6º.

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If she will jump at a height of 13500 feet and she will pull the cord when she is 5000 feet above the ground, the equation for distance traveled during freefall is d(t)= [tex]16t^{2}[/tex], then she has to wait 23.05 seconds to pull the cord

The initial height = 13500 feet

The height at which she has to pull the cord = 5000 feet above the ground

The distance traveled to reach 5000 feet above the ground = 13500-5000

= 8500 feet

The equation for the distance traveled during the freefall d(t)= [tex]16t^{2}[/tex]

where d is the distance traveled

t is the time taken

Substitute the values in the equation

8500 = 16 × [tex]t^{2}[/tex]

[tex]t^{2}[/tex] = 8500/16

[tex]t^{2}[/tex] = 531.25

t = [tex]\sqrt{531.25}[/tex]

t = 23.05 seconds

Hence, If she will jump at a height of 13500 feet and she will pull the cord when she is 5000 feet above the ground, the equation for distance traveled during freefall is d(t)= [tex]16t^{2}[/tex], then she has to wait 23.05 seconds to pull the cord

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The image of the setting sun most likely not described in great detail in "Because I Could Not Stop for Death" because it is a common symbol of death that requires little description.

Emily Dickinson's lyrical poem "Because I could not stop for Death" was originally printed in Poems: Series 1 in 1890, after her death. We don't know if Dickinson finished "Since I could not stop for Death" or if it was "abandoned" because her writing was never granted permission to be published.

In the poem "Because I could not stop for death the personified Death appears to Dickinson's poem's speaker. The poet's character speaks calmly about Death, the Afterlife, and the tranquility that comes with it. She represents Death as a young guy accompanying her in a carriage. She gives us a quick overview of her previous life while still living as she passes through to the afterlife.

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Considering a rectangular plot measuring 16 by 25 feet in a community garden the equation that models the the number of tomato plant and the number of pepper plant is 8x + 5y = 400

given data

a rectangular plot measuring 16 by 25 feet

area to grow tomato plants = 8 square feet

area to grow pepper plants = 5 square feet

From the  given data the total area is

Area = 16 * 25

Area = 400 square feet

let the number of area required by tomato plant be x and the area required by pepper plant be y

The equation that models how many tomato plants and how many pepper plants you can grow can be written as

8x + 5y = 400

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Answer: 17

Step-by-step explanation: 34x50/100 = 17

Answer:

17

Step-by-step explanation:

you type on your calculater

34 divided by 100 multiply by 50

then that will equivalate to 17