Pip, Angad and Nick share some sweets in the ratio 4:4:1. Pip gets 20 sweets. How many
sweets are there altogether?​

Answer:

0.08 minutes for a kilometer.

Step-by-step explanation:

If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.

I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.

Answer:

Step-by-step explanation:

If Marios share is 3 parts and is £96, then

Find one part = 96/3 = 32

So,

Rachel receives = 32 x 4 = £128

Sanjay receives = 32 x 9 = £288

Hope this helps

Answer:

-2<x<2

Step-by-step explanation:

its wrong but ur from britain luv innit xxx

Answer:

Each term is previous term minus 3

Answer:

Explicit rule: -3

Step-by-step explanation:

3-3=0

0-3=-3

-3-3=-6

-6-3=-9

Each number is subtracting by 3 to get the next number

Therefore your answer would be -3

Hope this helps!

Answer:

0

Step-by-step explanation:

The lines are parallel, they will never intersect

Answer:

no solution ( 0)

Step-by-step explanation:

If the lines have the same slope by different y intercepts, the lines are parallel

They will never intersect, so they have no solution

Answer:

1/3 y  +5

Step-by-step explanation:

five more than one-third y

1/3 y  +5

Answer:

5+1/3y

Step-by-step explanation:

Hope it helps

The -3 is not in the exponent

Explanation:

The parent function is [tex]f(x) = 2^x[/tex]. Plugging in x = 0 leads to y = 1. So the point (0,1) is on the f(x) curve. Going from (0,1) to (0,-2) is a vertical shift of 3 units downward. To represent this shift, we tack on a "-3" at the end of the f(x) function.

[tex]g(x) = f(x) - 3\\\\g(x) = 2^x - 3[/tex]

You could look at other points as well, but I find working with x = 0 is easiest.

As a check, plugging x = 0 into g(x) leads to...

[tex]g(x) = 2^x - 3\\\\g(0) = 2^0 - 3\\\\g(0) = 1 - 3\\\\g(0) = -2[/tex]

This confirms our answer.

Answer: No

Step-by-step explanation:

Because there is more than one 3 in the following ordered pair. If you make this a table it will be easier.

Answer:

No

Step-by-step explanation:

It would be yes only if the output (y-value) has values one time.

There are double 2s in the output so therefore your answer would be no

Hope this helps!

Answer:

4 ²/3

Step-by-step explanation:

( 5+2) ×( 6-4) / ( 2+1 )

= (7)×(2) / 3

= 4 ²/3

Answer:

[tex]2h^2[/tex]

Step-by-step explanation:

=> [tex](10h^4+h^2)-(10h^4-h^2)[/tex]

=> [tex]10h^4+h^2-10h^4+h^2[/tex]

=> [tex]h^2+h^2[/tex]

=> [tex]2h^2[/tex]

Answer:

3s+15

Step-by-step explanation:

let 's' be the length of the shortest side

-> twice as long as the length of the shortest side =2s

->length of the longest side to be three more than twice as long as the length of the shortest side = 2s + 3

-> the third side= 12 feet

p = s + 12 + 2s+3

p= 3s+15

Answer:

Integers are 48, 49, 50

Step-by-step explanation:

x+(x+1)+(x+2) = 147

3x + 3 = 147

3x = 147-3

x = 144 / 3 = 48

Answer:

x-14

Step-by-step explanation:

The binomial which is a factor of this trinomial is (x- 14).

An algebraic expression with three terms is called a trinomial.

Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.

Given:

p(x) = x²-16x + 28

If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.

factorizing p(x)

x²-16x + 28

= x²-14x + 2x + 28

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

= (x- 14)(x+ 2)

Hence, the binomial is (x- 14).

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Answer:

D

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc, that is

∠ GHI = 0.5 × arc GI = 0.5 × 80° = 40° → D

Answer:

The height of the flag staff is 73 m

Step-by-step explanation:

Let H₁ be the height of the building.

Since the angle of elevation of the top of the tower is 45° from a point 100 m away from the base of the tower,

From tan45° = H₁/100

H₁ = 100tan45° = 100 m

Let H₂ be the height of the building plus flag staff.

Since the angle of elevation of the top of the flag staff is 60° from the same point 100 m away from the base of the tower,

From tan60° = H₂/100

H₂ = 100tan60°

= 100√3

= 100 × 1.73

= 173 m.

So, the height of the flag staff is h = H₂ - H₁

= 173 m - 100 m

= 73 m.

So, the height of the flag staff is 73 m

Answer:

70 degrees

Step-by-step explanation:

We want to determine an angle [tex]\theta$ such that $0.3<\cos \theta<0.5[/tex]

If [tex]0.3<\cos \theta<0.5,$ then:[/tex]

[tex]\arccos 0.3< \theta<\arccos 0.5[/tex]

[tex]60^\circ<\theta<72.53^\circ[/tex]

Therefore, any angle greater than 60 degrees but less than 72.54 degrees will give a cosine value of the required range.

Example:

[tex]\cos 70^\circ =0.342[/tex]

Answer:

0.35

Step-by-step explanation:

This probability distribution is shown below:

Pitch                   1            2        3          4         5

Frequency         15         20      40        15        10

Probability         0.15     0.2      0.4      0.15      0.1

The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)

X  is the number of pitches thrown. Therefore:

P(X < 3) = P(X = 1) or P(X = 2)

The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.

P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35

The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35

Answer:

.35

Step-by-step explanation:

Its neither of the above(maybe you type something wrong?)

The total cost is

$(3 x 3 + 4 x 2)

Answer:

( fraction negative 1 over 4, fraction 1 and 3 over 4 )

Step-by-step explanation:

Answer:

1st one will be it!

Step-by-step explanation:

Answer:

  a) h(t) = -16t^2 +41t +37

  b) see attached (3.270 seconds)

  c) (41+√4049)/32 seconds

  d) 1.28125 seconds; 63.265625 feet

  e) [1.5, 2]: -15; [2, 2.5]: -31; [2.5, 3]: -47

Step-by-step explanation:

a) The formula and initial values are given. Putting those values into the formula, we get ...

  h(t) = -16t^2 +41t +37

__

b) The graph is attached. It shows the t-intercept to be about 3.270 seconds.

__

c) Using the quadratic formula, we can find the landing time as ...

  [tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-41\pm\sqrt{41^2-4(-16)(37)}}{2(-16)}\\\\=\dfrac{41\pm\sqrt{4049}}{32}\qquad\text{only $t>0$ is useful}[/tex]

The exact landing time is (41+√4049)/32 seconds.

__

d) The highest point is at t=-b/(2a) = -41/(2(-16)) = 41/32 seconds.

The value of the function at that point is ...

  h(41/32) = (-16(41/32) +41)(41/32) +37 = 41^2/64 +37 = 4049/64

The maximum height is 4049/64 = 63.265625 feet.

__

e) For a quadratic function, that average rate of change on an interval is the derivative at the midpoint of the interval. Here, the derivative is ...

  h'(t) = -32t +41 . . . in feet per second

Then the average rates of change are ...

  arc[1.5, 2] = h'(1.75) = -32·1.75 +41 = -15 ft/s

  arc[2, 2.5] = h'(2.25) = -32(2.25) +41 = -31 ft/s

  arc[2.5, 3] = h'(2.75) = -32(2.75) +41 = -47 ft/s

These are the average velocity of the water balloon over the given interval(s) in ft/s. Negative indicates downward.

Answer:

(a) h(t) = -16t² + 41t + 37

(b) About 3.3 s

[tex]\large \boxed{\text{(c) }\dfrac{41+ \sqrt{4049}}{32}\text{ s}}[/tex]

(d) -15 ft/s; -31 ft/s; -47 ft/s

Step-by-step explanation:

(a) The function

h(t) = -16t² + v₀t + s₀

 v₀ = 41 ft·s⁻¹

 s₀ = 37 ft

The function is

h(t) = -16t² + 41t + 37

(b) The graph

See Fig. 1.

It looks like the water balloon lands after about 3.3 s.

(c) Time of landing

h = -16t² + 41t + 37

a = -16; b = 41; c = 37

We can use the quadratic formula to solve the equation:

[tex]h = \dfrac{-b\pm\sqrt{b^2 - 4ac}}{2a} = \dfrac{-b\pm\sqrt{D}}{2a}[/tex]

(i) Evaluate the discriminant D

D = b² - 4ac = 41² - 4(-16) × 37 = 1681 + 2368  = 4049

(ii) Solve for t

[tex]\begin{array}{rcl}h& = & \dfrac{-b\pm\sqrt{D}}{2a}\\\\ & = & \dfrac{-41\pm\sqrt{4049}}{2(-16)}\\\\ & = & \dfrac{41\pm\sqrt{4049}}{32}\\\\t = \dfrac{41- \sqrt{4049}}{32}&\qquad& t = \dfrac{41+ \sqrt{4049}}{32}\\\\\end{array}\\[/tex]

[tex]\text{The water balloon will land after $\large \boxed{\mathbf{\dfrac{41+ \sqrt{4049}}{32}}\textbf{ s}} $}[/tex]

(d) Time and maximum height

(i) Time

The axis of symmetry (time of maximum height) is at t = -b/(2a)

[tex]t = \dfrac{-41}{2(-16)} = \dfrac{41}{32} = \textbf{1.281 s}[/tex]

(ii) Maximum height

The vertex is at y = h(1.281) = h(t) = -16(1.281)² + 41(1.281) + 37  = 63.27 ft

(e) Average rate of change

(i) Arc{1.5,2}

h(1.5) = 62.5

  h(2) = 55

m = (h₂ - h₁)/(t₂ - t₁) = (55 - 62.5)/(2 - 1.5) = -7.5/0.5 = -15 ft/s

The water balloon has started to fall after it has reached peak height, so it is not going very fast

(ii) Arc{2,2.5}

h(2.5) =39.5

m = (39.5 - 55)/(2 - 1.5) = -15.5/0.5 = -31 ft/s

The balloon is in mid-fall, so gravity has caused it to speed up.

(iii) Arc{2.5,3}

h(3) = 16

m = (16 - 39.5)/(2 - 1.5) = -23.5/0.5 = -47 ft/s

The balloon is about to hit the ground, so it is falling at almost its maximum velocity.

Fig. 2 shows the height of the balloon at the above times.

Answer:

a = 1.5

b = 1.75

Step-by-step explanation:

First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:

[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]

Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

[tex]3x=2ax\\4=a^2+b[/tex]

So, using the first equation and solving for a, we get:

[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]

Finally, replacing the value of a in the second equation and solving for b, we get:

[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]

Answer:

1) Rotation of the polygon -90° clockwise

2) Rotation of the polygon 270° clockwise

Step-by-step explanation:

Given that the result of the transformation is as follows;

p = (3, -2)

p' = (2, 3)

Therefore, given by the rules of rotation, we have;

When the type of rotation is 90° counterclockwise, which is -90° clockwise

The point of image before rotation = (x, y)

The point of rotated image after the rotation = (-y, x)

Similarly, we have;

When the type of rotation is 270° clockwise,

The point of image before rotation = (x, y)

The point of rotated image after the rotation = (-y, x)

Therefore, the transformations that could have taken place are;

1) Rotation of the polygon -90° clockwise or

2) Rotation of the polygon 270° clockwise

Answer:

1) Rotation of the polygon -90° clockwise

2) Rotation of the polygon 270° clockwise

Step-by-step explanation:

hope this helps

Answer:

vertex is (2,-25) Y-intercept is -21

Step-by-step explanation:

Answer: EDMENTUM USERS!

I got this correct on the tutorial. Hope this helps!

Step-by-step explanation:

Answer:

m∠D = 46°

m∠F = 44°

Step-by-step explanation:

cos D =base/hypo

cosD =23.5/33.8 = 0.695

so and D = 45.97°

thus angle F = 180-(90+45.97) =44.03°

Using relations in a right triangle, it is found that:

The relations in a right triangle are given as follows:

In this problem:

Hence:

[tex]\sin{D} = \frac{24.3}{33.8}[/tex]

[tex]D = \sin^{-1}{\left(\frac{24.3}{33.8}\right)}[/tex]

[tex]D = 46^\circ[/tex]

[tex]\sin{F} = \frac{23.5}{33.8}[/tex]

[tex]F = \sin^{-1}{\left(\frac{23.5}{33.8}\right)}[/tex]

[tex]F = 44^\circ[/tex]

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Answer:

1. x = 32°

2. x = 28°

3. x = 15°

4. x = 30°

5. x = 40°

6. x = 20°

Step-by-step explanation:

All the angles should add up to 90° as they are complementary.

Answer:

Step-by-step explanation:

The length of the base is 3 feet and the height of the triangle is 6 feet.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees. The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.

Given that the height of a triangle is 3 feet greater than the base. The area of the triangle is 54 square feet.

The dimensions of the triangle will be calculated as,

A = (1/2)  x b x h

A = (1/2) x b x ( b + 3 )

54 = ( 1 / 2 ) x ( b² + 3b )

108 =  ( b² + 3b )

( b² + 3b - 108) = 0

( b² + 12b -3b -108 ) = 0

(b - 3 ) ( b+ 12 ) = 0

b = 3 and b = -12 ignore negative value.

The height will be calculated as,

h = b + 3

h = 3 + 3

h = 6 feet

Therefore, the length of the base is 3 feet and the height of the triangle is 6 feet.

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Answer: 9 L - B

Step-by-step explanation:

Sum means "add" so you add 7.4 and 1.16. Then it asks for a less precise measurement (or apporaxmate) probably meaning after you've rounded up. That would be 9 L or B.  Hope that helps!

Answer:

B

Step-by-step explanation:

Answer:

28ft.

Step-by-step explanation:

If [tex]s[/tex] equals 7 and the perimeter equals 4 times [tex]s[/tex], then the perimeter would be 4 times 7.