Manuel is blowing up balloons for a party at his house .he blows up 30 balloons in 10 minutes.how many balloons does he blow up in one minute ?

Answer:

12

Step-by-step explanation:

⇒ 21 - 3 = 18 = 1.5a

⇒ a = 12

Answer:

196cm²

Step-by-step explanation:

14*14=196

area = length of one side * the length of the other side

The cosine model is y = - 7 + 10 · cos (π · x/30 - π).

The sine model is y = - 7 + 10 · sin (π · x/30 - π/2).

Sinusoidal functions are periodic trascendent expressions which involves trigonometric functions. There are two kinds of sinusoidal functions:

[tex]y = A \cdot \cos (B\cdot x + C) + D[/tex]     (1)

[tex]y = A\cdot \sin (B\cdot x + C) + D[/tex]      (2)

Where:

First, we find the amplitude and the midpoint:

A = [3 - (- 17)]/2

A = 10

D = [3 + (- 17)]/2

D = - 7

Now we find the angular phase and the angular frequency for each model:

Cosine model (x, y) = (0, - 17), (x, y) = (30, 3)

- 17 = 10 · cos C - 7     (3)

3 = 10 · cos (30 · B + C) - 7      (4)

By (3):

- 10 = 10 · cos C

cos C = - 1

C = acos(- 1)

C = - π

And by (4):

3 = 10 · cos (30 · B - π) - 7

10 = 10 · cos (30 · B - π)

cos (30 · B - π) = 1

30 · B - π = acos 1

30 · B - π = 0

30 · B = π

B = π/30

The cosine model is y = - 7 + 10 · cos (π · x/30 - π).

Sine model

Obtain the sine model by using trigonometric expressions:

cos θ = sin (θ + π/2)     (5)

By (5):

y = - 7 + 10 · sin (π · x/30 - π + π/2)

y = - 7 + 10 · sin (π · x/30 - π/2)

The sine model is y = - 7 + 10 · sin (π · x/30 - π/2).

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Answer:

The x and y intercept are (20,0)

Step-by-step explanation:

2x-4y=40—eqn1

-x+2y=-20—eqn2

Make x the subject of eqn2

-x=-20-2y

x=20+2y

plug this into eqn 1

2(20+2y)+4y=40

40+4y+4y=40

8y=40-40

y=0

plug y=0 into eqn2

-x+2(0)=-20

-x=-20

x=20

Answer:

the function is quadratic because it have (2) turning points which is a sign of the ax² in rhe quadratic equation (ax²+bx+c)

The proportional relationship graph that shows the situation is: Graph C.

A proportional relationship is defined as y = kx, where k is the constant of proportionality between x and y, and k = y/x.

Given the equation, M = 3n,

k = 3.

Thus, the graph that has a constant of proportionality (k) of 3, will correspond to the situation.

In graph C, using a point, (400, 1,200), we have:

k = 1,200/400

k = 3

Therefore, the graph that corresponds to the situation is: C.

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Step-by-step explanation:

sin^-1√-3/2=300°

cos300°=0.5

Answer:

Mode = l + [(f₁ - f₀)/(2f₁ - f₀ - f₂)]h

Where, l is the lower limit of the modal class

f₁ is the frequency of the modal class

f₀ is the frequency preceding the modal class

f₂ is the frequency succeeding the modal class

h is the class size

From the table,

Maximum frequency = 41

This frequency lies in the class 10000 - 15000

l = 10000

h = 5000

f₁ = 41

f₀ = 26

f₂ = 16

Now, f₁ - f₀ = 41 - 26 = 15

2f₁ - f₀ - f₂ = 2(41) - 26 - 16

= 82 - 42

= 40

[(f₁ - f₀)/(2f₁ - f₀ - f₂)] = 15/40

= 3/8

Now, mode = 10000 + (3/8)(5000)

= 10000 + (15000/8)

= 10000 + 1875

= 11875

Answer:

[tex]z=5[/tex]

Step-by-step explanation:

[tex]-\frac{3}{z}+\frac{7}{4z}=\frac{5}{z-25}\\\\\implies-\frac{12}{4z}+\frac{7}{4z}=\frac{5}{z-25}\\\\\implies-\frac{5}{4z}=\frac{5}{z-25}\\\\\implies125-5z=20z\\\\\implies25z=125\\\\\implies z=5[/tex]

Have a nice day, also mark brainliest please!

The number of motorbikes is 5

The given parameters are:

Motorbike = $945.50

Johnson = $5000.

The number of motorbikes is calculated as:

n = Johnson/Motorbike

So, we have:

n = 5000/945.5

Evaluate

n = 5.29

Remove the decimal

n = 5

Hence, the number of motorbikes is 5

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The exponential function is often used to model the growth or decay of a population

The population size of the yeast cell after 3 hours is 6.24 million

The given parameters are:

a = 3.1M --- initial number of cells

r = 0.4425 per hour --- rate

The nth term of an exponential function is:

f(n) = a(1+r)^n-1

After 3 hours; n = 3

So, we have:

f(3) = a(1+r)^3-1

Substitute values for a and r

f(3) = 3.1 (1+0.4425)^3-1

f(3) = 3.1 ( 1.4425)^2

f(3) = 6.24

Hence, the population size of the yeast cell after 3 hours is 6.24 million.

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Answer:

42.0 ft

Step-by-step explanation:

let t be the height of the tree.

At the same time ,the measure of something

and its shadow are proportional .

Then

[tex]\frac{2}{6} =\frac{14}{t}[/tex]

Then

2t = 6 × 14

Then

2t = 84

Then

t = 84/2

Then

t = 42

Therefore the tree is 42 ft tall

The solution of the equation are [tex]x = \frac{7 + \sqrt{61}}{6}[/tex] and [tex]x = \frac{7 - \sqrt{61}}{6}[/tex]

The equation is given as:

3x^2 - 7x- 1 = 0

The quadratic equation is represented as:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

So, we have:

[tex]x = \frac{7 \pm \sqrt{(-7)^2 - 4 *3 *-1}}{2*3}[/tex]

Evaluate the expression

[tex]x = \frac{7 \pm \sqrt{61}}{6}[/tex]

Expand

[tex]x = \frac{7 + \sqrt{61}}{6}[/tex] and [tex]x = \frac{7 - \sqrt{61}}{6}[/tex]

Hence, the solution of the equation are [tex]x = \frac{7 + \sqrt{61}}{6}[/tex] and [tex]x = \frac{7 - \sqrt{61}}{6}[/tex]

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Answer:

b)

c=140°

a= 40°

b=40°

c)

p= 60°

q= 60°

r= 120°

d)

a=  65 °

b= 65°

c= 65°

d= 115°

e=65°

Step-by-step explanation:

Hope it helps

Answer:

the answer should be 9

Step-by-step explanation:

,look at a graph count from 0,-6 up to 0,3 . the distance between them is 9

Answer: 9

Step-by-step explanation:

let the two points P (0,3) and Q(0,-6)

We need to find distance PQ

PQ=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

here

x1=x coordinate of P=0

y1=y coordinate of P=3

x2=x coordinate of Q=0

y2=y coordinate of Q=-6

Putting values

 [tex]PQ=\sqrt{(0-0)^2+(-6-3)^2}\\[/tex][tex]PQ=\sqrt{(0)^2+(-9)^2} \\PQ=\sqrt{81} \\PQ=9[/tex]

Answer:

anticlockwise; reflection about x = 0; reflection about y = x - 1

Step-by-step explanation:

To get from A to A', we have to rotate anticlockwise. This rotation would take us around the coordinate plane from the first quadrant to the fourth quadrant to the third quadrant to the second quadrant. Clockwise about (0, -1) would not bring us to A'. To get from A' to A'', we to reflect across the line x = 0. As you can see in the image, the two triangles mirror each other across a vertical line in the center of them, and this vertical line would be x = 0 because both triangles are at least 1 unit away from it (they are equidistant from this line)

A single transformation that could map A onto A'' would be a reflection about y = x - 1. Both triangles happen to meet at this point so you might be able to visualize it. However, we can also test some points to see if this works. First, we can test the right-most point of A (which is the top-most point of A''). This point on A is (6, 0). If this point was reflected across y = x - 1, y would become 6 - 1 or 5, and since y = x - 1 is the same as x = y + 1, x would become 0 + 1 or 1. Indeed, the equivalent point on A'' is (1, 5).

Answer:

10sqrt(7)

Step-by-step explanation:

[tex]4 \sqrt{7} + 3 \sqrt{28} \\ \\ 4 \sqrt{7} + 3(2 \sqrt{7} ) \\ \\ 4 \sqrt{7} + 6 \sqrt{7} = 10 \sqrt{7} [/tex]

Answer:

An outlier is something that is out of place compared to the rest of the group. For example, If you had the numbers 3,4,5,4,3,4, and 19, 19 would be the outlier.

Step-by-step explanation:

An outlier is a number that's far away from the rest of your data.

For example, if we look at the numbers 3, 2, 4, 5, 27, and 1, you can likely consider 27 to be an outlier because it's so far away from the rest of the data.

The specific definition of how far something has to be from the rest of the data to be an outlier depends entirely on the situation, but in general: if a number obviously sticks out from the rest, it's probably an outlier.

Answer:

Your answer should be around 10.7π cm³

Step-by-step explanation:

The surface area formula for a sphere is SA = 4πr^2. The volume formula for a sphere is V=4/3πr^3. Use the given SA to find the value of V.16π=4πr^2 Divide by 4π on both sides. 4 = r^2. r=2 Plug in 2 for r in the equation V=4/3πr^3. Your answer should be around 10.7π cm³

Sir Yesuba took Rs 1600 from the bank.

Concept : Addition and subtraction from an unknown quantity which can be calculated easily using variables.

Given: The Amount given to son = 3/8x

The Amount given to daughter = 1/4x

Money left = Rs 600

Let the amount taken by him be equal to Rs x.

The Amount given to son = 3/8x

The Amount given to daughter = 1/4x

x - (3/8x + x/4) = 600

x- x/8 = 600

7x/8=600

x= Rs1600

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Answer:     0

Step-by-step explanation:

Answer:

34352.0

Step-by-step explanation:

Answer:

2a+2b

Step-by-step explanation:

3a - a = 2a

4b - 2b = 2b

Answer:

2a+2b

Step-by-step explanation:

3a – a + 4b – 2b

Combine like terms

3a-a =2a

4b-2b =2b

3a – a + 4b – 2b. = 2a+2b

Answer:

8. 0

9. undefined

Step-by-step explanation:

8. 0

> because the y variable is the same for all x-values, this is a horizontal line. Horizontal lines have a slope of 0.

  > Thinking of slope as rise over run: we will always rise 0, and run __ from any two points--0 divided by any number is always 0

9. undefined

> because the x variable is always the same, no matter what y variable we graph, we will have the same outcome. So, this would look like a straight line, which have an undefined slope.

   > If you think of a slope as rise / run; if you go from any two points, there will be a 0 in the denominator--which is undefined

hope this helps!! have a lovely day :)

Answer: 4230.14

Step-by-step explanation:

The amount that the balance is multiplied by each month is

[tex]\frac{2448}{2040}=1.2[/tex].

So, after t months, the balance is [tex]1700(1.2)^{t-1}[/tex].

Substituting in t=6, we get the balance is

[tex]1700(1.2)^{6-1}=\boxed{4230.14}[/tex], to the nearest hundredth.

Answer:

bro wuts da answer am so lost yo

Answer: It's my understanding that the answer would be the last one - No, the container is not large enough.....new container is 960 cubic inches. I saw this answer marked on another website but not how to find the answer.

Step-by-step explanation:

The elements of (A n B)' are ( 3, 4 , 5 ,6). Option A

The elements of this set (A n B) explains the common elements  of both sets without repetition

Set A = 3, 4

Set B = 5, 6

A n B = 1, 2

(A n B)' = Is the elements both A and B in common but is not found in the universal set

(A n B)'  = ( 3, 4 , 5 ,6)

Thus, the elements of (A n B)' are ( 3, 4 , 5 ,6). Option A

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The rate of change of the relationship is 6/5

The rate of change of a line is also known as the slope of the line. The formula for calculating the slope of a line is expressed as:

Slope =y2-y1/x2-x1

Given the coordinate points (-3,-2) and (2, 4). On substituting;

Slope = 4-(-2)/2-(-3)

Slope =4+2/2+3

Slope = 6/5

Hence the rate of change of the relationship is 6/5

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The country will achieve a blue PPC.

The Production Possibilities Curve (PPC) Sometimes called the production possibilities frontier (PPF) is a model used to show the tradeoffs associated with allocating resources between the production of two goods. The PPC can be used to illustrate the concepts of scarcity, opportunity cost, efficiency, inefficiency, economic growth, and contractions.

Due to the increase in resources of the country, the production capacity for both pineapple & coconut will increase as a result country's PPC will shift rightward/forward. And the country will achieve blue PPC.

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Answer:

i got 12.2

Step-by-step explanation:   (5x-3) +73 =131 is the equation and from that x = 12.2

Answer:

24p

Step-by-step explanation:

£1 - £0.52 = £0.48 ← cost of 2 oranges

cost of 1 orange = £0.48 ÷ 2 = £0.24