A certain circuit is properly fused for a 5-horsepower motor. If the motor is to be replaced by several 5/8 horsepower motors, how many motors will the fuses be able to carry?​

Reason:

When rotating a point 180 degrees around the origin, you use the rule

[tex](x,y) \to (-x,-y)[/tex]

We flip the sign of each coordinate from positive to negative or vice versa.

The point X is at the location (-4, 1). Rotating this 180 degrees will get us to X'(4, -1)

The circumference of the given circle.

In order to find the circumference, first we'll have to find the raduis.

[tex]d = 2r[/tex]

[tex] \frac{8}{2} [/tex]

[tex] = 4 \: ft[/tex]

Now, we can work out the volume.

[tex]\huge\boxed{Fomula: C = 2\pi {r}}[/tex]

[tex] c= 2 \times \pi \times 4[/tex]

[tex]c = 25.13274 \: {ft}[/tex]

[tex]\large\boxed{C = 25.13 \: ft\: (2 \: d.p)}[/tex]

Hence, the circumference of the given circle is 25.13 feets.

Answer:

y = 1

Step-by-step explanation:

Given:

Substitute point (1, 1) into the given equation of the parabola to find q:

[tex]\begin{aligned}\textsf{At}\:(1,1)\implies a(1-1)^2+q &=1\\a(0)^2+q &=1\\q &=1\end{aligned}[/tex]

Substitute the found value of q and point (-1, -9) into the given equation of the parabola to find a:

[tex]\begin{aligned}\textsf{At}\:(-1,-9)\implies a(-1-1)^2+1 &=-9\\a(-2)^2+1 &=-9\\4a+1 &=-9\\4a &=-10\\a &=-\dfrac{5}{2}\end{aligned}[/tex]

Therefore, the equation of the parabola is:

[tex]y=-\dfrac{5}{2}(x-1)^2+1[/tex]

The maximum or minimum point on a parabola is the vertex.

Vertex form of a parabola: [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex.

Therefore, the vertex of the parabola is (1, 1) and so the maximum value of y = 1

Vertex at (1,q)

There is a point already given from which parabola passes through its (1,1)

Hence

Equation:-

Now put (-1,-9)

a is negative hence parabola is opening downwards

So

vertex is maximum

Max value

Answer:

x2-2x=58

Step-by-step explanation:

(x-14)(x+2)=30

x2+2x-14x-28=30

x2+2x-14x=28+30

x2-2x=58

Answer:

[tex]f(5)=8[/tex]

Step-by-step explanation:

Given function: [tex]f(x)=x^2-3x-2[/tex]

To find [tex]f(5)[/tex], simply input [tex]x=5[/tex] into the function:

[tex]\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}[/tex]

[tex]\huge\color{white}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

The value of f(5)

f(x) = x² - 3x - 2

f(x) = x² - 3x - 2

we will put the value of x as 5

so that to find f(5).

f(5) = (5)² - 3×5 - 2

f(5) = 25 - 15 - 2

f(5) = 8

The value of f(5) is 8.

Answer:  u can use this to practice and u can also find your awnser in thes pic

Step-by-step explanation:

Answer:

The product of a number and 45

Step-by-step explanation:

Answer:

the product of a number and 45

Step-by-step explanation:

i just finished the quiz

Answer:

5 number summary hulaan mo hhahah 82 56 92 78 68

Answer:

There is a negitve corrilation because as time increases speed decreases

Step-by-step explanation:

Answer:

Your answer is b. (2,0) is not a point on the circle.

Step-by-step explanation:

Center of the Circle: (h,k) = (-4,3)

Radius of the Circle: r = 6

Find the points on the circle.

(h + r ,k)

(h - r ,k)

(h , k + r)

(h , k - r)

Answer:

using law of indices

the answer is 1

Answer:

b = 13√3

c = 26

Step-by-step explanation:

tan 30  = a /b

b = a/ tan 30 = 13 / (1/√3) = 13√3

sin 30 = a /c

c = a/ sin 30 = 13 / (1/2) = 13 * 2 = 26

Answer:

if a = 13 than..

c = 26

b = 13√3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The available area is found by subtracting twice the border width from each of the overall lot dimensions. The accommodation that provides is found by dividing the area by the area required per dog.

__

The 10 foot setback from each lot line means the usable space has dimensions that are 20 feet shorter than the lot dimensions.

  usable rectangle = (120 ft -20 ft)×(80 ft -20 ft) = (100 ft)(60 ft)

  usable rectangle = 6000 ft²

There will be 6000 square feet in the smaller lot.

__

The space required for each dog is ...

  (12,500 ft²)/(50 dogs) = 250 ft²/dog

Then the number of dogs that can be accommodated in 6000 ft² is ...

  (6000 ft²)/(250 ft²/dog) = 24 dogs

The number of dogs allowed is 24.

Answer:

6 visits

Step-by-step explanation:

Here the involved variables should be :

⇒ y = total number of rewards points

⇒ x = number of visits to the movie theater

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

Given :

⇒ points earned on signing up = 60

⇒ points per visit = 9.5

⇒ total points required = 117

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

Making the equation :

⇒ y = mx + b

⇒ m = points earned per visit

⇒ b = points earned on signing up

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

Solving by substitution :

⇒ 117 = 9.5x + 60

⇒ 9.5x = 117 - 60

⇒ 9.5x = 57

⇒ x = 6 visits

If Latanya receives 60 rewards points just for signing up. She earns 9.5 points for each visit to the movie theater. She needs 117 points for a free movie ticket. Then 6 visits Latanya make to earn a free ticket.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that,

Latanya has 60 rewards points just for signing up.

For each visit to theatre she earns 9.5 points.

To get free ticket she has to have 117 points.

We need to find how many visits she has to do to get free ticket.

We use Linear equation to solve this

Let y = total number of rewards points

x = number of visits to the movie theater

m=Points for each visit

y=mx+b

117=9.5x+60

Subtract 60 on both sides

117-60=9.5x

57=9.5x

x=6

Hence she has to make 6 visits to earn a free ticket.

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The exponential function which represent the graph shown in image is f(x)=2.(1/4)ˣ. Option C is correct.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

f(x)=a.bˣ

Here, x is the variable in the power of a number, b is a constant which is known as the change factor and a is the initial value of the function.

Here, in the graph, it passes from the (0,2) and (2,0) from x and y axis. it tells us that the initial value of is 2.

a=2

The graph is plotted on right side in opposite way, which tells the value of b is in the reciprocal. Thus,

b=1/4.

Put the values as,

f(x)=a.bˣ

f(x)=2.(1/4)ˣ

Hence, the exponential function which represent the graph shown in image is f(x)=2.(1/4)ˣ. Option C is correct.

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Answer:

About 588 students.

Step-by-step explanation:

78% = 0.78

Therefore, we can conclude the following:

78% of 754 = 754 * 0.78 = 588.12

Step-by-step explanation:

x = 3

y = - 2

z = 6

[tex]7xyz[/tex]

Solution,

= 7 × 3 ( - 2 ) × 6

= 21 ( - 2 ) × 6

= - 42 × 6

= - 252

hence the answer is - 252....

Answer:

w = 23

Step-by-step explanation:

so the total degree of a triangle is 180,

when you add all 3 it should equal 180.

35 + (5w) + (w + 7) = 180

subtract 35 from both sides, 35 - 35 + (5w) + (w + 7) = 180 - 35

(5w) + (w + 7) = 145

combine like terms (add the w's), (5w + w) + 7 = 145

6w + 7 = 145

subtract 7 from both sides, 6w + 7 - 7 = 145 - 7

6w = 138

divided both sides by 6 to get w alone, 6w / 6 = 138 / 6

w = 23

Answer:

12 sin 75°

Step-by-step explanation:

See the attached images!

Answer:

[tex]859.855[/tex]

Step-by-step explanation:

You start with the current amount:

[tex]747.7[/tex]

First calculate [tex]15\%[/tex] of [tex]747.7[/tex]:

[tex]747.7 \cdot 0.15 = 112.155[/tex]

Now add that new value back into the original amount:

[tex]747.7 + 112.155 = 859.855[/tex]

As a trick to speed things up, you can calculate it in one expression:

[tex]747.7 \cdot 1.15 = 859.855[/tex]

Answer:

when sketching the curves of functions.

Step-by-step explanation:

There is a wide range of graph that contain asymptotes and that includes rational functions, hyperbolic functions, tangent curves, and more. Asymptotes are important guides when sketching the curves of functions. This is why it’s important that we know the properties, general forms, and graphs of each of these asymptotes.

Answer:283 awnser is 283

Step-by-step explanation:

The empirical probability is Life insurance, Car insurance, and Mortality.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Therefore the empirical probability will be Life insurance, Car insurance, and Mortality.

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Answer:

13/15

Step-by-step explanation:

you multiply the numbers by each other like 3×1/5 = 3/15 and 5×2/3 = 10/15

then you add them to get 13/15

Answer:

B

Step-by-step explanation:

if you simply 3(x+2)-x, you get 2x+6.

it is not 3x+6 because x already equals 1. 2x+6=2x+6