Determine whether each expression is equivalent to 81^0.5t+0.25​

Answer:

Logan can mow 1 lawn per hour more than Brian

Step-by-step explanation:

Given

[tex]Logan: 8\ lawns \to 4\ hours[/tex]

See attachment for Brian's graph

First, calculate Logan's hourly rate

[tex]Rate = \frac{Lawn}{Time}[/tex]

[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]

Rate = 2 lawns per hour

To calculate Brian's rate, we select 2 points from the linear graph

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (2,2)[/tex]

So, the rate is:

[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Rate = \frac{2 - 1}{2 - 1}[/tex]

[tex]Rate = \frac{1}{1}[/tex]

Rate = 1 lawn per hour

So, we have:

[tex]Logan = 2[/tex]

[tex]Brian = 1[/tex]

Calculate the difference (d)

[tex]d = Logan - Brian[/tex]

[tex]d = 2 - 1[/tex]

[tex]d = 1[/tex]

Logan can mow 1 lawn per hour more than Brian

Suppose that Eldi has x years old now :

x + 4 = 3 × ( x - 10 )

x + 4 = 3x - 30

Add both sides 30

x + 4 + 30 = 3x - 30 + 30

x + 34 = 3x

Subtract both sides x

x - x + 34 = 3x - x

34 = 2x

2x = 34

Divide both sides by 2

2x ÷ 2 =34 ÷ 2

x = 17

_____________________________

Thus Eldi is 17 .

1-opposite angles are congruent

2-consecutive angles are supplementary

3-diagonals of a parallelogram divide the parallelogram into two congruent triangles

4-diagonals of a parallelogram bisect each other

Answer:

1. given

2. vertical angles theorem(1st occurrence)

3. vertical angles theorem(2nd occurrence)

4. Converse of the alternative interior angles theorem

5. Transitive property of congruence

hope this helps

have a good day :)

Step-by-step explanation:

Answers:

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

Explanation:

Answer:

12 right 6 up (12,6) and 3:1 or 3

Step-by-step explanation:

By Question it's given that the sum of two numbers is 15 . And we need to find out the numbers. So ,

Let us take :-

According to the Question :-

[tex]\sf\implies x + x +1=15\\\\\sf\implies 2x = 15-1\\\\\sf\implies 2x =14 \\\\\sf\implies x =14/2 \\\\\sf\implies\red{ x = 7 }[/tex]

Therefore :-

Hence the two numbers are 7 and 8.

Answer:

t:

[tex] \infty , - \infty [/tex]

meaning any number can substitute t and it would be the same answer.

Answer:

selling 36 muffins at a discount rate of 10% off the original price

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

d=7

Step-by-step explanation:

Answer:

-40

Step-by-step explanation:

y−27−13

=y+−27+−13

Combine Like Terms:

=y+−27+−13

=(y)+(−27+−13)

=y + −40

Answer:

Red light flashes once every 6 seconds, blue light flashes once every 10 seconds, so the next time the blue light flashes(20 seconds), the red light would have completed 18 seconds and the next time blue light flashes (30 seconds), the red light would also be flashed at the same time.

Step-by-step explanation:

Answer:

8/17

Step-by-step explanation:

Cosine is adjacent over hypotenuse (CAH as in SOH CAH TOA) so the ratio would be 8/17

Answer:

W: (-3,5)

W': (-3,-5)

Y coordinate

Step-by-step explanation:

if you want me to explain it I can in the comments thing

In the plot the coordinates of W is (-3 , 5 ) , and the reflection will be W' (-3 , -5)

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.

When reflecting a figure in a line or in a point, the image is congruent to the preimage.

A reflection maps every point of a figure to an image across a fixed line.

So in the plot the coordinates of W is (-3 , 5 )

and the reflection will be W' (-3 , -5)

The plot of W and W' is attached with the answer.

To know more about reflection

https://brainly.com/question/15487308

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Answer:

Y =-25x +225

Step-by-step explanation:

First you can count the gradient first. Use then you can count y intercept

Answer:

36 ft

Step-by-step explanation:

Given :

We need to convert it into feets. We know that ,

[tex] \implies[/tex] 1 yard = 3 feet

[tex] \implies[/tex] 12 yards = 12 * 3 ft

[tex] \implies[/tex] 12 yards = 36 ft .

Hence the required answer is 36 feets .

Answer:

the formula for converting yards into feet: 1 yard is equal to 3 feet. Write out the necessary math problem or use a calculator. If you want to convert 21 yards, for example, the problem would be 21 multiplied by 3 (21 x 3). Finish the conversion.

SO,

12 yd 36.00 ft

Answer:

-49

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

The bottom of the ladder is now 96 feet closer to the house compared to its initial position.

To solve this problem, we can use the concept of similar triangles. Let's denote the distance between the bottom of the ladder and the base of the wall as x (in feet). We are given the following information:

Initial ladder position:

Top of the ladder is 16 feet above the ground.

Bottom of the ladder is 12 feet away from the base of the wall.

New ladder position:

Top of the ladder is 18 feet above the ground.

Since the triangles formed by the ladder, the ground, and the wall are similar, we can set up a proportion to find the new distance between the bottom of the ladder and the base of the wall.

Using the initial position of the ladder:

(16 ft) / (x + 12 ft) = (18 ft) / (x)

Cross-multiplying:

16 ft * x = 18 ft * (x + 12 ft)

Expanding:

16x = 18x + 216 ft

Moving the terms involving x to one side:

16x - 18x = 216 ft

Simplifying:

-2x = 216 ft

Dividing by -2:

x = -108 ft

Since distance cannot be negative, we discard the negative solution. The distance between the bottom of the ladder and the base of the wall is 108 ft.

Now, to find how much closer to the house the bottom of the ladder is, we can subtract the initial distance (12 ft) from the new distance (108 ft):

108 ft - 12 ft = 96 ft

for such more question on triangles

https://brainly.com/question/17335144

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9514 1404 393

Answer:

  15 cm

Step-by-step explanation:

The formula for the surface area of the cone is ...

  A = πr² +πrL =  πr(r +L)

The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...

  126π cm² = π(6 cm)(6 cm +L)

  21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm

  15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm

The slant height is 15 centimeters.

Answer:

Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.

Step-by-step explanation:

Dado que Luis, Pedro y Ernesto fueron a comer pizza, y entre Luis y Ernesto comieron el doble que Pedro, y Pedro comió el doble que Ernesto, y entre los 3 se comieron una pizza, para determinar qué porción se comió cada uno se debe realizar el siguiente cálculo:  

L + P + E = 1

L + E = 2P

P = 2E

L + E = 4E

L = 4E - E

L = 3E

3E + 2E + E = 1

6E = 1

E = 1/6

E = 0.166

P = 0.166 x 2

P = 0.333

L = 0.166 x 3  

L = 0.5  

L = 1/2

Por lo tanto, Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.

Answer: C

Step-by-step explanation:

The two lines meet at (3,2). always read these things by doing the horazontal line and then the vertical one.

Answer:

41.6 degrees (i think, sorry if it's not.)

Step-by-step explanation:

if the amount of time from 12:00 pm to 7:00 pm was 7 hours, you're going to need to take into account that you need to lower 50 degrees 7 times by 1.2 degrees. (50 - 1.2 times 7)