If the sum of a number and one is doubled, the result is four less than the number. Find the number

Answer:

146 whistles

Step-by-step explanation:

First, convert 122 feet to inches, by multiplying it by 12

122(12)

= 1464

Divide this by 10 to find how many whistles he can make

1464/10

= 146.4

Since we can only have a whole number of whistles, we have to round down to 146.

So, he can make 146 whistles

Answer:

Step-by-step explanation:

x²-2x=-26

add both sides (-2/2)² or 1

x²-2x+1=-26+1

x²-2x+1=-25

(x-1)²=25×-1

(x-1)²=5²×i²=(5i)²

x-1=±5i

x=1±5i

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Answer:

∠b = 68°

Step-by-step explanation:

Complementary angles are a pair of angles that, added together, equal 90°.

If ∠a = 22°, then the measure of∠b must equal 90° when added to that of ∠a.

To find the measure of ∠b, then, we can subtract ∠a from 90°.

90 - 22 = 68

The measure of ∠b, then, is 68°.

I hope this is helpful ^^

Good luck

Answer:

512

Step-by-step explanation:

To find the volume of a rectangular prism you multiply the length × width × height

= 8 × 8 ×8

= 512

Answer: $203

Step-by-step explanation: We first start out with the exponential decay model which is y=a(1-r)^t, then plug in the numbers of your problem:

-y=26,000(1-0.50)^7

-y=26,000*0.50^7

-y=26,000*0.0078125

-y=203.125

Then, after rounding to the nearest hundred dollars you get your answer....

:) hope this helped a bit

The value of the car 7 years after it was purchased will be $203.

A quantity lowers gradually at first during exponential decay before rapidly declining after that. Half-life may be calculated using the exponential decay formula, which is also used to estimate population decrease.

It is given that, A brand-new car costs $26,000 to buy, and every five years, its value decreases by 50%.

We have to find the value of the car 7 years after it was purchased

The exponential decay model, y=a(1-r)t, is where we begin. The data from your problem are then entered.

y=-26,000(1-0.50)^7

y=-26,000*0.50^7

y=-26,000*0.0078125

y=-203.125         (-ve shows the value is declining)

Thus, the car will be worth $203 seven years after it was bought.

Learn more about the exponential decay here:

brainly.com/question/14355665

#SPJ2

Answer:

Step-by-step explanation:

Answer:

1. 48

2. 45

3. 32

4. B

Step-by-step explanation: Hope this help :D

Answer:

119

Step-by-step explanation:

14x17 = 238)/2

Step-by-step explanation:

ratio 6:8

376+336=712

6+8=14

712/14=50.86

haircut= 50.86*6=305.16

colour= 50.86*8=406.88

i hope this helps

Answer:

English and French:40 and English:10

Step-by-step explanation:

English and French:4÷5×50

=40

English:1÷10×50

=10

Answer:

[tex]Area = 346m^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 5m\\Width = 6m\\Height = 13m[/tex]

Required

Determine the surface area

This is calculated as:

[tex]Area = 2 * (Length * Width + Length * Height + Width * Height)[/tex]

So, we have:

[tex]Area = 2 * (5m * 6m + 5m * 13m + 6m * 13m)[/tex]

[tex]Area = 2 * (30m^2 + 65m^2 + 78m^2)[/tex]

[tex]Area = 2 * (173m^2)[/tex]

[tex]Area = 346m^2[/tex]

Answer:

Please provide the statements.

Step-by-step explanation:

Answer:

the equation has one anser

Step-by-step explanation:

Answer:

You didn't add any images maybe it was a mistake?

Step-by-step explanation:

Answer:

It is linear. It is linear because it is a strait line which means that it is a function. A not linear line would look like a noodle.

Answer:

A.

Elena can run 3 miles per hour.

Step-by-step explanation:

Given that:

a circular running track = 1/5 mile

On this track, Elena runs completing each of the laps in 1/15 of an hour

We are to find Elena running speed.

It implies that the distance of Elena = [tex]\dfrac{1}{5}[/tex]

Time to run each lap = [tex]\dfrac{1}{15} \ of \ an \ hour[/tex]

Speed is the amount of distance covered in a specified period of time.

Recall that the formula for calculating speed is:

[tex]Speed = \dfrac{distance}{time}[/tex]

[tex]Speed = \dfrac{\dfrac{1}{5}}{\dfrac{1}{15}}[/tex]

[tex]Speed ={\dfrac{1}{5}\times \dfrac{15}{1}[/tex]

Speed =  3miles / hour

As such, Elena can run 3 miles each hour.

Answer:

C) v≤-5

Step-by-step explanation:

[tex]4v\leq -20[/tex]

Divide each side by 4,

[tex]v\leq -5[/tex]

Answer:

c = 2.9 yards

Step-by-step explanation:

2c = 42.4 - (18.3 x 2)

2c = 42.4 - 36.6

2c = 5.8

c = 5.8 / 2

c = 2.9 yards

Hope that helps! :)

Answer:

d. 122 units^2

Step-by-step explanation:

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles                    

First, we need to find b:    

[tex] a^{2} + b^{2} = h^{2} [/tex]   (1)    

[tex] b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles [/tex]

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

[tex]\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})[/tex]

[tex] 2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:  

[tex] 0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

[tex]\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h[/tex]  

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

Answer:

Step-by-step explanation:

total sum of Triangle's angles is 180 deg:

than: x = 180 -61-56 = 63

Answer:

63 degrees

Step-by-step explanation:

All three angles in a triangle is always 180, so 180-61-56=63 degrees

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Have a great weekend!

Answer:

a) The golf ball reaches a height of 64 feet.

b) The golf ball will take 2 seconds to reach maximum height.

c) The golf ball will take 4 seconds to land after being hit.

d) The golf ball will be 48 feet above ground 1 and 3 seconds after being hit.

Step-by-step explanation:

a) The parabolic motion of the golf ball is described by a second order polynomial, that is, the equation of the parabola. To determine the maximum height of the golf ball, we need to transform the equation of the parabola given into vertex form:

[tex]h = -16\cdot (t^{2}-4\cdot t)[/tex]

[tex]h - 64 = -16\cdot (t^{2}-4\cdot t + 4)[/tex]

[tex]h - 64 = -16\cdot (t-2)^{2}[/tex]

From this form we can obtain relevant information of the maximum height of the golf ball, contained in the left side of the equation. On this approach, we conclude that the golf ball reaches a height of 64 feet.

b) The time taken by the golf ball is contained in the right side of the formula. That is, the golf ball will take 2 seconds to reach maximum height.

c) In this case, we need to factor the polynomial to find right times, that is:

[tex]h = 64\cdot t - 16\cdot t^{2}[/tex]

[tex]h = 16\cdot t \cdot (4 - t)[/tex]

The time taken by the golf ball to land is contained in the second binomial. In a nutshell, the golf ball will take 4 seconds to land after being hit.

d) If we know that [tex]h = 48[/tex], the time taken by the golf ball to be 48 feet above the ground is:

[tex]64\cdot t - 16\cdot t^{2} = 48[/tex]

[tex]16\cdot t^{2}-64\cdot t +48 = 0[/tex]

By Quadratic Formula, we have the following roots:

[tex]t_{1} = 3[/tex], [tex]t_{1} = 1[/tex]

The golf ball will be 48 feet above ground 1 and 3 seconds after being hit.

Answer:

45

Step-by-step explanation:

Step-by-step explanation:

when you look at the graphic and the right-angled triangle :

sine is the length of the vertical leg (opposite of the associated angle) divided by the length of the Hypotenuse (the baseline opposite of the 90° angle), because the sine function values are defined for the norm circle with radius 1. for any larger circle (or triangle inscribed in such a larger circle), we get the basic trigonometric function values by measuring the sides and norming to a radius of 1 (dividing them by the length of the actual radius).

cosine is the horizontal leg (at the "bottom").

the same principle applies. the cosine value is the length of that leg divided by the length of the Hypotenuse.

we know from the given ratio for sine, that the length of the Hypotenuse is 6.

so, we know 2 sides of the right-angled triangle :

the vertical leg is 5, the Hypotenuse is 6.

now, we use Pythagoras to get the horizontal leg :

6² = 5² + leg²

36 = 25 + leg²

11 = leg²

leg = sqrt(11)

and so cosine of the angle is

sqrt(11)/6

Answer:

0.005 or A

Step-by-step explanation:

EDGE2022

Answer:

6t=9? let me know if that's correct x

Step-by-step explanation:

The expression that represents the total cost of the donuts is: c + d

To determine the expression that represents the total cost, the following parameters are needed

Let c represents the cost of the donut box, and d represents the cost of the donut, itself

Hence, the expression that represents the total cost is:

c + d

Read more about algebraic expressions at:

https://brainly.com/question/4344214

Answer:

25%

Step-by-step explanation:

If the total number of people is 5600, then to find the number of people that did not vote you subtract 4200 from 5600.

5600-4200=1400

Then you can set up the number of people who didnt vote as equal to a percentage over 100

1400/5600=x/100

140000/5600=x

25=x

Answer:

x= 142°

I hope it's helps you

Answer:

x = 142°

(x and 142° are vertically opposite angles.)