A certain 32 cm spring will stretch (in cm) one-half the weight (in kg) attached to it. How long wilt the spring be if a 26 kg weight is attached to it?

Answer:

2nd option

Step-by-step explanation:

Using the identities

tan²θ + 1 = sec²θ

cotθ = [tex]\frac{1}{tan0}[/tex]

Given

secθ = - [tex]\frac{37}{12}[/tex] , then

tan²θ + 1 = (- [tex]\frac{37}{12}[/tex] )² = [tex]\frac{1369}{144}[/tex] ( subtract 1 from both sides )

tan²θ = [tex]\frac{1225}{144}[/tex] ( take the square root of both sides )

Since [tex]\frac{\pi }{2}[/tex] < θ < π and tanθ < 0 , then

tanθ = - [tex]\frac{35}{12}[/tex]

Then

cotθ = [tex]\frac{1}{-\frac{35}{12} }[/tex] = - [tex]\frac{12}{35}[/tex]

Answer:

B

Step-by-step explanation:

62 pins in total = 16 pins at the fair + 13 pins at camp + x pins collected in the parade

Answer: A.90 cm^2

Step-by-step explanation: A= a+b/2 h

A= 17.5+12.5/2 *6

A = 30/2*6

A= 15*6

A=90

Answer:

irrational

Step-by-step explanation:

reason

[tex] - \frac{5}{52} [/tex]

Answer:

the answer is A !

Step-by-step explanation:

Answer:

-2asmall2 + 4a - 8

Step-by-step explanation:

Answer: If one of these angles measures 50 degrees more than the other, find the measure of the smaller angle. A+A+50=180 Subtract 50 from each side. A=65 degrees ANSWER The smaller angle is 65 degrees.

Step-by-step explanation:  

Answer:

130°

Step-by-step explanation:

the other angle is 130°

Step-by-step explanation:

so easy hahahahahah you are just a beginner

Answer:

I think it's B

Answer:

track is 5/9 of a mile long.....she jogged around it 4 times

Step-by-step explanation:

so Ashley ran ( 5/9 * 4) = 20/9 miles <==

Answer:

Final Cost: $364.72

Step-by-step explanation:

We can see a picture of the shed attached below. To find the total cost we need to first find the surface area of the entire shed. The sides are rectangles, so to find the surface area we need to multiply the length by the width. Since there are two rectangular sides we multiply the result by 2.

A = L * W

A = 10 * 4.7

A = 47 sq ft. * 2sides

Total = 94 sq ft.

Now we calculate the bottom which is also a rectangle

A = L * W

A = 10 * 8

A = 80sq ft.

Now we need to calculate the surface area of the triangular sides and multiply the results by 2 since there are two triangular sides. The formula for the area of a triangle is half times base times height...

A = 0.5 * B * H

A = 0.5 * 8 * 2.5

A = 10 sq ft  * 2 sides

Total = 20 sq ft

Finally, we need to add the entire surface area and multiply by the cost per square foot to find the total cost.

94 + 20 + 80 = 194 sq ft

194* 1.88 = $364.72

Answer:

you have to create an account which should be pretty easy to find and just use your personal email!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation

You are signed in right now????

Answer:

233

Step-by-step explanation:

Look at the tenths place. It is above 5 so you round to 233,

Answer:

233

Step-by-step explanation:

Simple, 7 is closer to 10 than 0, round up to 233.

Answer:

P = 8x + 4

Step-by-step explanation:

P = 2(l + w)

P = 2(5 + 4x - 3)

P = 2(4x + 2)

P = 8x + 4

Answer:

50km/he=4hr

40km/he=?

40*4/50

=3hr12min

4hr+3hr 12min

=7hr12min

Answer: vertical & x = 25

75 = 4x - 25

100 = 4x

x = 25

Answer:

A, -1/13

Step-by-step explanation:

slope = rise / run

(12-7)/(39-12)

5/-65

simplify: 1/-13

Answer: 24

Step-by-step explanation: 58 = 2z - 10

58 - 10 = 48 = 2z

z = 24

Answer:

the correct answer is -6

Answer:

16 cups of sugar

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

So our ratio here is 2:3. Here's what we're gonna do:

2 + 3 = 5 for every time he makes the recipe

40 / 5 = 8

To double check:

2 x 8 = 16

3 x 8 = 24

16 + 24 = 40

Answer:

24 cans.

Step-by-step explanation:

6$ for each 12 cans, 12x4=48, so 6x4=24.

Answer:

$24

Step-by-step explanation:

Hope this helped you!

Answer:

P.y = [tex]4^{x}[/tex]

Step-by-step explanation:

From the given question, since Jesse sends the email to 4 people and the 4 people rebroadcast it to another 4 persons each. And this process continues for a required or given round x, then this is an example of an exponential function.

Thus, the number of emails sent for a given round can be expressed as;

                    y = [tex]4^{x}[/tex]

Therefore, the appropriate answer is y = [tex]4^{x}[/tex].

So that for four rounds (x = 4), the number of emails sent can be determined as;

y = [tex]4^{x}[/tex]

  = [tex]4^{4}[/tex]

y = 256

Answer: y=4^x

Step-by-step explanation:

Exponential growth

Y=ab^x

Answer:

2

Step-by-step explanation:

basically logarithms are like reverse exponents

log7, 49 is basically asking 7 to the what gets you 49

because of that its 2 because 7^2 gets you 49

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

Explanation:

Recall that any exponential equation of the form [tex]b^x = y[/tex] can be written into its equivalent log form of [tex]\log_{b}(y) = x[/tex]. Note how in both cases, 'b' is the base. For the exponential equation, x is buried in the exponent and y is free on its own. In the log equation, we have y buried in the log and x is free or isolated on its own.

In your case, we have b = 7 and y = 49. This means [tex]\log_{7}(49) = x[/tex] is the same as [tex]7^x = 49[/tex] when converting from log form to exponential form. Then we can rewrite that 49 into 7^2 to get [tex]7^x = 7^2[/tex]. The bases are both 7, so the exponents must be the same as well. Therefore, x = 2.

-------------------

We could follow a different approach. We could apply the change of base formula. The change of base formula is

[tex]\log_{b}(x) = \frac{\log(x)}{\log(b)}[/tex]

On the left side, we have log base b; however, on the right side, the log can be any base we want. Oftentimes it's handy to go with base 10, though again it doesn't matter the base on the right hand side logs.

So we would then say...

[tex]\log_{b}(x) = \frac{\log(x)}{\log(b)}\\\\\log_{7}(49) = \frac{\log(49)}{\log(7)}\\\\\log_{7}(49) = \frac{1.69019608002851}{0.84509804001426}\\\\\log_{7}(49) = 1.99999999999999\\\\[/tex]

Due to rounding error, we don't land exactly on 2 as expected. However, we get close enough.

Answer:

The constant of proportionality between 'y' and 'x' in the graph is 0.75

Step-by-step explanation:

The constant of proportionality is the constant ratio between two quantities that are directly proportional.

When two quantities are directly proportional, then a percentage increase in one of the quantities will result in an equal percentage increase in the other quantity, and the two quantities are therefore, increasing at the same rate to each other

From the graph we have;

When x = 0, y = 0, all graphs of directly proportional relationships have  x = 0 when y = 0

However;

When x = 2, y = 1.5

When there is an 100% increase, we have;

When x = 2 + 100/100 ×2 = 4, y = 1.5 + + 100/100 ×1.5 =3

Therefore, when x = 4, y = 3

The constant of proportionality = The ratio between each 'y' and 'x' value

∴ The constant of proportionality = y/x = 1.5/2 = 3/4 = 0.75

Therefore;

The constant of proportionality between 'y' and 'x' in the graph = 0.75.

Answer:

the answer is A just tool the quiz lesson 5 hyperbolas Algebra 2B unit 5 these are the correct answers

1.A

2.B

3.D

4.A

5.B

6.D

7.A

hopes this helps everyone

The hyperbola has two vertices at (-2,0) and (2,0)

We have given that the equation

[tex]\frac{x^2}{4}-\frac{y^2}{9}=1[/tex]

[tex]\frac{x^{2} }{a^2}+\frac{y^2}{b^2} =1[/tex]

Compare the above equation of the hyperbola with given equation

therefore a=2

vertices are (-a,0) and (a,0)

Therefore the vertices are (-2,0) and (2,0)

See the graph of the hyperbola in link given below.

The hyperbola has two vertices at (-2,0) and (2,0)

To learn more about hyperbola visit:

https://brainly.com/question/2351925

Answer:

The answer is $25

Explanation:

area of a circle = pi x r^2

using 3.14 for pi

radius = 36/2 =18

area = 3.14 x 18^2 = 1017.36 square inches

1 sq ft = 144"

1017.36/144 = 7.065 sq ft

7.065*3.50 = $24.73 to the nearest dollar = $25

Answer:

$9 per 1 item

Step-by-step explanation:

Answer:

$9 per 1 item

Step-by-step explanation: