H varies directly as L. If H = 30 when L=60, determine H when L= 40.
a) Write the variation equation.
b) Determine the value of the quantity indicated.
a) Choose the correct answer below.
O A. H=L
k.
O B. L=
H
O C. H=kL
w
k k
OD. H=*
b) H= |(Type an integer or a decimal.)

Answers

Answer 1

Answer:

i) The variation equation     H =  k L

ii) The value of H = 20

iii) C)  H = k L

Step-by-step explanation:

Step(i):-

Given that H varies directly as L

                    H ∝ L

                   H =  k L

Given that H =30 and L = 60

          ⇒   30 = k (60)

            [tex]k = \frac{30}{60} = \frac{1}{2}[/tex]

Step(ii):-

Given that L = 40

The variation of the equation = H = k L ...(i)

 put L = 40 in equation (i)

 [tex]H = \frac{1}{2} X 40 = 20[/tex]


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Given f(x) = 9x + 1 and g(x) = x3, choose
the expression for (fºg)(x).
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Answer  This is the answer in thie screenshot ok

Pls help I don’t know hot to multiply the last part 8 2

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Answer:

8^2 = 64

Step-by-step explanation:

Hi! Okay, let's get started!

[tex]8^{2}[/tex] is what you need help with right?

So, that equals to 8 x 8.

8 x 8 = 64, so it would be 64

Hope that helps!

-Aphrodite :)

sin 30Degrees = square of 3/2 and cos 30degrees =1/2 true or false

Answers

Answer:

False

Step-by-step explanation:

Trying it in a calculator says otherwise meaning it's false

please please help me I will mark brainlist !!

Answers

Answer:

9. B. 32 millimeters

10. C. 7 inches

11. C. 56.24 millimeters

13. B. 14.13 square feet

Step-by-step explanation:

9. Radius of a circle or any circular shape = ½ of its diameter

Diameter of the disk = 64 millimeters

Radius of the disk = ½(64) = 32 millimeters

10. Width of the cooler = 6 in.

Length = 8 in.

Volume = 336 in.³

Height = ?

Formula for volume of a rectangular prism = L*W*H

Plug in the values

336 = 8*6*H

336 = 48*H

Divide both sides by 48

336/48 = H

H = 7 inches

11. A dime has a circular shape

The circumference of the dime = circumference of a circle = πd

Where,

d = 17.91 millimeters

π = 3.14

Plug in the values

C = 3.14 × 17.91 = 56.2374

≈ 56.24 millimeters (nearest hundredth)

12. Area of the top of the desk = area of semicircle = ½ × πr²

Where,

r = ½(6) = 3 ft

π = 3.14

Plug in the values

Area = ½ × 3.14 × 3² = ½ × 3.14 × 9

Area = 14.13 square feet

5th grade math. correct answer will be marked brainliest

Answers

Answer:

Step-by-step explanation:

1[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{3}[/tex] = [tex]\frac{3}{2}[/tex]*[tex]\frac{1}{3}[/tex]    cross cancel    then  you have  [tex]\frac{1}{2}[/tex]   :)

Answer:

He will use 1 1/6 teaspoons

You can change mixed numbers by changing it into an improper fraction.

Step-by-step explanation:

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Answers

Answer:

i belive it is answer  B

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

im not sure

What effect does armature reaction have on the torque speed characteristic of a DC shunt motor?​

Answers

Answer:

Step-by-step explanation:

The armature reaction in the motor affects the torque speed characteristics of the motor. Due to the armature reaction in the motor the shape of the torque speed characteristics will changes. The relation between torque and speed of the motor is given below.

…… (1)

where

Terminal voltage of the motor

Flux in the motor

Torque induced in the motor

Armature resistance

If a motor has armature reaction, as the load increases the flux weakening effect reduces the flux in the field winding. From equation (1), as the flux reduces, the speed of the motor increases at a given load over the speed it would run at without armature reaction.

7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿Cuántas vacas tenía al principio, ¿cuántas murieron y cuántas vendió?

Answers

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea [tex]x[/tex] la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

[tex]x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}[/tex]

[tex]x = 84[/tex]

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

[tex]y = \frac{3}{7}\cdot x[/tex]

[tex]y = 36[/tex]

Murieron 36 vacas.

Cantidad de vacas vendidas

[tex]z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x[/tex]

[tex]z = 24[/tex]

24 vacas fueron vendidas.

HELPPPPPPP PLSSSSSSSS

Answers

Answer:

D'(5,2)

E'(13,-5)

F'(15,3)

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
110%
AK
>C
C С
B
Angles are not drawn to scale.
Enter

Answers

Answer:

Measure?

Step-by-step explanation:

Could u like explains more pls?

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Let's play Cooking Diary! Together we'll rock the culinary world! https://social-cd.mytonagames.com/4gx9R8​

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Betttttttttttttttttttttt

Graph the function f(x)= -³√x+2.

Answers

Answer:

Step-by-step explanation:

Which line shown appears to have a Y-intercept of 3?
A. I
B. II
C. III
D. IV
E. none of the above​

Answers

It will be D because it stands for lV

Let f(x) = x-9
Find (f o f)(x) and its domain
(f o f)(x) =

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Answer:

Step-by-step explanation:

Which graph shows exponential growth?

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Answer:

VTFV

Step-by-step explanation:

Volume of a square prism with faces of 3/8

Answers

Answer:

27/512 in.^3

Step-by-step explanation:

volume = side^3

V = (3/8 in.)^3

V = 27/512 in.^3

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:  35

Step-by-step explanation:

The sum of interior angles of a triangle is 180°.

40 + 2a + 2a = 180

4a + 40 = 180

4a = 140

a = 35

what is It is believed that the early settlers of the Pacific Islands originally migrated from __________.
A.
Europe
B.
Australia
C.
Southeast Asia
D.
Central Asia


Please select the best answer from the choices provided

ill give brainliest

Answers

Answer:South Asia-C

Step-by-step explanation:

gaged

Answer:

C, Southeast Asia

Write the equation of the line that passes through the point (-1,-5) and has a slope of -2?

Answers

Answer: -7 is the answer.

Step-by-step explanation:

y2 - y1 = m (x2 - x1)

y - (-5) = -2 {x - (-1)}  [Taking y2 as y and x2 as x]

y + 5 = -2 (x + 1)

y + 5 = -2x -2

y + 2x = -2 - 5

2x + y = -7

Somebody please help!!!

Answers

I believe it's 2/3

Hope that helps

Pythagorean theorem
a = 4 b = ? c = 10

Answers

Which side is b and which side is c. Is the hypotenuse c?

The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 745 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting.

Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use μboys − μgirls. Round your test statistic to two decimal places and your P-value to four decimal places.)

Answers

Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

2) The significance level is set at 0.01

3) The critical region is z  ≤  ± 1.28

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 397/768= 0.5169  and p2= 331/745=0.4429

pc = 397+331/768+745

pc= 0.4811

qc= 1-pc= 1-0.4811=0.5188

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+  1/745)

z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.

what is the GCF of 24 and 20 is?

Answers

Step-by-step explanation:

4. because it's the highest number your can evenly divide both numbers by

GIVING 25 PTS I REALLY NEED HELP ON THIS LAST QUESTION AND IM TIMED ILL GIVE BRAINLIEST TO WHOS RIGHT ​

Answers

Answer: A, 314 square inches

Step-by-step explanation:

The equation for the area of a circle is A = 3.14 x r²

3.14 x 10² ≈ 314

The train clock run fast and gain 4 minutes every 3 days. How many minutes and seconds will it have gained at the end of 2 days.

Answers

Answer:

2 minutes, 40 seconds

Step-by-step explanation:

set up a proportion and cross-multiply:

4/3 = x/2

3x = 8

x = 2 2/3 which is 2 minutes, 40 seconds

Rachel received a monthly raise of $105.25. If this represented a 5.5% increase, what is her monthly salary after the raise?

A. $1,913.64
B. $1,964.13
С. $2,018.89
D. $2.089.18

Answers

Answer:

C

Step-by-step explanation:

105,25:5,5*105.5=2018,89

3) What measurement is
closest to the volume of
the cone in cubic
kilometers?
7 km
14 km
781.3 km
O 435.1 km
O 562.4 km
718.4 km

Answers

Answer:

A) 781.3

Step-by-step explanation:

To find the volume of the cone, you must first find the radius and height of the cone. Which is 7km (radius) and 14km(height).

Next use the formula (Which is in the picture since it's too hard to type out on here)

I also would of explained it but I found it easier just to type it out (In the file attached below)

Finally the answer is 781.3 km

Hope this helps

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=22°, and DB = 44 feet. Find the length of BC to the nearest tenth of a foot.

Answers

Answer: 47.5 ft

Step-by-step explanation:

since this is a right triangle, you can use trig to solve for x:

cos 22° = [tex]\frac{44}{x}[/tex] (cos = adjacent/hypotenuse)

x * cos 22° = 44

x = [tex]\frac{44}{cos 22}[/tex] (plug into calc)

x = 47.5 ft

a bag contains 1 red beads,2 yellow beads,2 green beads and 1 blue beads
a bead is chosen at random

a)what is probability that it is green ?

b)what probability that it is green or yellow

Answers

Answer:

a) 2/6           b) 4/6

Step-by-step explanation:

You add the amount of beads: 1+2+2+1= 6

And take the amount of green beads and put it over the total amount so 2/6

For b you do the same but add the green and yellow beads and put that over the total amount 4/6

Answer:

Step-by-step explanation:

a) 2/6 = 1/3

b) green or yellow = (2/6 x 1/5) + (2/6 x 1/5) =  1/15 x 1/15 = 1/225

im not sure if my answers are correct

Which is the value of this expression when P= -2
and q=-1
((p^2)(q^-3))^-2•((p^-3)(q^5))^-2

-4
-1/16
1/16
4

Answers

Answer:

B -1/16

Step-by-step explanation:

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