As people exited a movie theater, they were informally surveyed about whether they enjoyed the movie or not. Males Enjoyed: 47 Did not enjoy: 13 Females Enjoyed: 53 Did not enjoy: 3 A 4-column table with 3 rows. The first column has no label with entries males, females, total. The second column is labeled enjoyed with entries a, 46%, blank. The third column is labeled did not enjoy with entries 11%, b, blank. The fourth column is labeled total with entries blank, blank 100%. What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent. a = 40%, b = 4% a = 41%, b = 3% a = 47%, b = 3% a = 41%, b = 19%

Answer:

rational

Step-by-step explanation:

Answer:

it's Rational.......

Answer:

a linear function with slope 3 and y intercept -6

Step-by-step explanation:

f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.

Next time please be sure to share the answer choices.  Thanks.

Given function of [tex]f(x)= 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]

" Linear function is defined as the relation between variables with highest exponent equals to one".

According to the question,

Given

Function[tex]f(x)= 3x-6[/tex]

[tex]f(x)= 3x-6[/tex] is function in one variable x with highest exponent 1.

Therefore, it is a linear function.

Represents the straight line.

x increases y also increases.

No maximum and minimum point.

Compare it with general equation of line [tex]y = mx + c[/tex]

Slope of the line [tex]= 3[/tex]

Y- intercept [tex]= -6[/tex]

Hence,  function of [tex]f(x) = 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]

Learn more about the linear function here

https://brainly.com/question/21107621

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Answer:

257 square m

Step-by-step explanation:

Area of the figure

= Area of square + Area of semicircle

[tex] = {10}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times {10}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times 100 \\ \\ = 100 + 3.14 \times 50 \\ \\ = 100 + 157 \\ \\ = 257 \: {m}^{2} [/tex]

Answer:

257 square meters

Step-by-step explanation:

i just took the test

Answer:

C. cot theta

Step-by-step explanation:

(csc theta -cot theta )/(sec theta -1)

csc = 1/ sin

cot = cos / sin

sec = 1 / cos

Let x = theta

(1/ sin x -cos x / sin x )/(1/ cos x -1)

Getting a common denominator in the denominator and combining terms

(1- cos x)/ sinx  / ( 1 - cos x) / cos x

(1- cosx)      (1- cosx)

----------- ÷ ------------

sinx            cos x

Copy dot flip

(1- cosx)       cosx

----------- * ------------

sinx            1 -cos x

Cancel like terms

cos x / sin x

cos / sin = cot

cot x

cot theta

Answer:

123000

Step-by-step explanation: 8,200 x 15 =123000

Answer:

Ko-op is better

Step-by-step explanation:

1

£2.58/3= 86 p

2

£4.25/5= 85 p

3

£6.72/8= 84 p

Last one Ko-op is better

Answer:

[tex]\boxed{\text{2. 4.7 units}}[/tex]

Step-by-step explanation:

Assume your triangle has the dimensions shown below.

Before we can use the Law of Sines, we must find ∠C.

1. Calculate ∠C

[tex]\begin{array}{rcl}A + B + C & = & 180^{\circ}\\66^{\circ} + 76^{\circ} + C & = & 180^{\circ}\\142^{\circ} + C & = & 180^{\circ}\\C & = & 38\, ^{\circ}\\\end{array}[/tex]

2. Calculate b

Use the Law of Sines

[tex]\begin{array}{rcl}\dfrac{b}{\sin B } & = & \dfrac{c}{\sin C}\\\\\dfrac{b}{\sin 76^{\circ}} & = & \dfrac{3}{\sin 38^{\circ}}\\\\\dfrac{b}{0.9703} & = & \dfrac{3}{0.6157}\\\\ & = & 4.873\\b & = & 0.9703\times 4.873\\& = & \boxed{\mathbf{4.7}}\\\end{array}[/tex]

Answer:

A. 101 × q / 2000 S

B. Ingresos totales de q unidades = 230 · q - q²

Costo total para producir q unidades = 101 × q / 2000 S

C. 222 carteras

Step-by-step explanation:

A. Ingresos totales = q × (230 - q) = 230 · q - q²

El costo unitario = S / 20

El costo fijo = S / 2000

Costo total para producir q unidades = q × (S / 20 + S / 2000) = 101 × q / 2000 S

B. Las ganancias totales = Ingresos totales- Costo total

Las ganancias totales = 230 · q - q² - 101 · q / 2000

Las ganancias totales = 229.9495 · q - q²

C, cuando las ganancias obtenidas = 1800 soles, tenemos;

1800 = 229.9495 · q - q²

q² -229.9495 + 1800 = 0

(q - 8.114) × (q - 221.84) = 0

Por lo tanto, q = 8.114 o q = 221.84

Por lo tanto, sabemos que q> 50, por lo tanto, el valor correcto de q = 221.84 o 222 carteras.

Answer:

a = $80.3

b = $80

c = 4

d = 16

e = 4

f = 88

g = $132

h = 33%

i = 6

j = 30

k = 21

l = $90

m = $36

o = 21/50

p = 105

q = 7

r = 8 cm

s = 2.4

t = 4

u = 400cm

v = $280

Step-by-step Explanation:

==>Increasing $72 by 10% to get a

a = 110% of $72 = 110% × $73

a = 1.1 × 73

a = $80.3

==>a ($80.3) rounded to the nearest 10 to find b = $80

b = $80

==>Writing b (80) as the product of its primes I.e.

[tex]b = 2^{c} * 5[/tex]

Thus, 80 = 2⁴ * 5

c = 4

==>Calculating c² = d

d = 4² = 16

d = 16

==> ²/8 of d = e

e = ²/8 × 16

e = 2 × 2

e = 4

==> e% of 2200 = f

f = 4% × 2200

f = 0.04 × 2200

f = 88

==>Converting £f to $ = g

If £1 = $1.5,

£88 = $g

1 × g = 1.5 × 88

g = $132

==> Converting [tex]\frac{g}{400}[/tex] into % = h%

h = 132÷400 ×100

h = 0.33 × 100

h = 33%

==> √(h + 3) = i

i = √(33 + 3)

i = √36

i = 6

==> i × (3 + 2) = j

j = 6 × (3 + 2)

j = 6 × 5

j = 30

==> j% of 70 = k

k = j% × 70

k = 30% × 70

k = 0.3 × 70

k = 21

==> If k bottles = $63, 30 bottles = $l

21 bottles = $63

30 bottles = $l

21 × l = 63 × 30

21l = 1,890

l = 1,890/21

l = $90

==>If Tim and Mike (m) shares $90 in the ratio 3:2, Mike (m) would receive thus:

⅖ × $90 = m

m = 0.4 × 90

m = $36

==> √m + m = n

n = √36 + 36

n = 6 + 36

n = 42

==>Converting n% to fraction = o

Thus, o = 42/100

o = 21/50

==> o of 250 = p

p = 21/50 × 250

p = (21 × 250)/50

p = 21 × 5

p = 105

==> expressing p as a product of its primes i.e. p = 3 × 5 × q

105 = 3 × 5 × 7

Therefore, q = 7

==> Given a rectangle with dimensions of q cm and r cm, with an area of 56cm². Let's find r.

Area of rectangle = length × width = q × r

Area = 56 cm²

q = 7 cm

r = ?

56 = 7 × r

56/7 = r

8 = r

r = 8 cm

==> r × 0.3 = s

s = 8 × 0.3

s = 2.4

==> s ÷ 0.6 = t

t = 2.4 ÷ 0.6

t = 4

==> If t is in meters, converting t to cm will give us u

Since 1m = 100cm

4m = u cm

1 × u = 100 × 4

u = 400cm

==> Vikki (v) and John shares $u in the ratio 7:3. Thus, Vikki (v) would receive the following:

v = ⁷/10 × $400

v = 0.7 × 400

v = $280

Answer:

c. 25

Explanation:

write no more than one radical

[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]

simplify

[tex]5\sqrt{25} \\25[/tex]

Therefore, the answer is c) 25.

Answer:

c) 25

Step-by-step explanation:

√125 x √5= √25*5*5 = √25*25= 25

It takes 48 hours if 12 people built the same wall.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

3 x 12 x 129

Step-by-step explanation:

You can get your answer

Answer:

3/35

Step-by-step explanation:

Here, we want to know the constant of proportionality in this direct variation scenario

Since it is a direct variation, the form we are having would be;

x = ky

where x and y directly vary with each other and k is the constant of proportionality

Now, for the first relation

3 = 35k

for the second

9 = 105k

Thus k would be

3/35 which is the same as 9/105

Kindly note that 9/105 can be reduced to 3/35

So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35

The answer is A.) y =35/3x

Answer:

39/46

Step-by-step explanation:

Now, the key to answer this first is knowing the value of cos θ

Mathematically, when we have sin θ

What we have is the ratio of the opposite to the hypotenuse side

Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13

Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem

This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

So let’s say the adjacent or the third side is d

This means that;

13^2 = 5^2 + d^2

d^2 = 13^2 - 5^2

d^2 = 169-25

d^2 = 144

d = √(144)

d = 12

The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse

and that is 12/13

Hence Cos θ = 12/13

What we need last to answer the question is cos2 θ

Using trigonometric identity;

Cos2θ = cos^2 θ - sin^2 θ

Inputing the values of sine and cos of the angle theta, we have;

cos2θ = (12/13)^2 - (5/13)^2

cos2θ = 144/169 - 25/169 = 119/169

Thus;

cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)

= 12/13/(184/169)

= 12/13÷ 184/169

= 12/13 * 169/184

= (13 * 3)/46 = 39/46

Answer:

13) [tex]x=-3,y=4[/tex]

14) [tex]x=7, y=12[/tex]

15) [tex]x=-1,y=3[/tex]

16)[tex]x=-3,y=4[/tex]

Step-by-step explanation:

13)

[tex]y=9x+31\\6x+4y=-2[/tex]

Sub in equation 1 into equation 2.

[tex]6x+4(9x+31)=-2[/tex]

Expand the bracket.

[tex]6x+36x+124=-2[/tex]

Rearrange.

[tex]42x=-126\\x=-3[/tex]

Solve for y.

[tex]y=9(-3)+31\\y=-27+31\\y=4[/tex]

14) (Following exactly the same steps)

[tex]y=-2x+26\\-5x+2y=-11[/tex]

[tex]-5x+2(-2x+26)=-11\\-5x-4x+52=-11\\-9x=-63\\x=7[/tex]

[tex]-5(7)+2y=-11\\2y=24\\y=12[/tex]

15) (Following exactly the same steps again.)

[tex]y=2x+5\\8x+3y=1[/tex]

[tex]8x+3(2x+5)=1\\8x+6x+15=1\\14x=-14\\x=-1\\[/tex]

[tex]8(-1)+3y=1\\-8+3y=1\\3y=9\\y=3[/tex]

16) (Still no variation on how the questions are asked, exact same method)

[tex]3x+2y=-2\\y=9x+31[/tex]

[tex]3x+2(9x+31)=-1\\3x+18x+62=-1\\21x=-63\\x=-3[/tex]

[tex]y=9(-3)+31\\y=-27+31\\y=4[/tex]

Answer:

You have 2 equations:

One for area: A = πr²

One for circumference: C = 2πr

If you are given the area, you plug the area in the area equation under A. You then divide both sides by pi (π) so you are left with r². You take A/π = r² and you square root both sides to get r.

When you get r (the radius) you can then plug r into C = 2πr. You solve (multiply all numbers together) and you have your final answer as the circumference.

Step-by-step explanation:

Answer:

When using the given information in the table, the slope is 2.

Step-by-step explanation:

First, we need to know the formula for finding slope.

[tex]Slope(m)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Now, we need two points from the table so we can plug them into the formula. Let's use the points (10,14) and (20,34).

[tex]Slope(m)=\frac{34-14}{20-10}[/tex]

Subtract 14 from 34 and subtract 10 from 20.

[tex]Slope(m)=\frac{20}{10}[/tex]

Now, divide 20 by 10.

[tex]Slope(m)=2[/tex]

So, the slope that represents the table is 2.

Answer:

8

Step-by-step explanation:

LM = KI/2

LM = 16/2

LM = 8

Answer:

(-3, 1.5)

Step-by-step explanation:

Take the averages of the x-coordinates and y-coordinates of the 2 points

-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.

-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.

The midpoint will be (-3, 1.5)

Answer: 45 degrees

Step-by-step explanation:

Plato

Answer:

$400

Step-by-step explanation:

$500 multiplied by 8% = $40

If you multiply $40 by 10 years that equals $400.

Answer:

the median increases by 0

Step-by-step explanation:

Answer:

No 6 1/2 is 6.5, which is not 73

Step-by-step explanation:

Answer:

no, 6+1/2 equals 6'5

if you mean 6*1/2, it still doesn't equal 73 but 3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\sqrt[4]{\dfrac{81}{16}a^8b^{12}c^{16}}= \\\\\sqrt[4]{\dfrac{3^4}{2^4}(a^2)^4(b^3)^4(c^4)^4} = \\\\\dfrac{3}{2}a^2b^3c^4[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer:

-6 < x < 2

Step-by-step explanation:

hope this helps :)

Answer:

i) 4000 cm^3

ii) 50 cm^3/s

Step-by-step explanation:

i) 1 litre is equal to 1000 cm^3, so four litres are equal to 4000 cm^3.

ii) Previous rate: 40 seconds for 4 litres, 10 seconds for 1 litre, 10 seconds per 1000 cm^3.

New rate: 20 seconds per 1000 cm^3, or simplified to 50 cm^3/s

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]3x + 35 = 5x + 5 \\ 35 - 5 = 5x - 3x \\ 20 = 2x \\ \frac{20}{2} = \frac{2x}{2} \\ x = 10[/tex]

These are corresponding angles

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Might be wrong but try 47.5ft^2

Step-by-step explanation:

(3*2)/2=3

(3*3)/2=4.5

3+4.5+(4*10)=47.5

Answer:5

Step-by-step explanation:

reverse the steps

2(x+1)/3=4

2(x+1)/3×3=4×3

2(x+1)/2=12/2

x+1=6

x=6-1

x=5

Answer:

My starting number is 5

Step-by-step explanation:

Let's denote your number is a

We have:

Adding 1 => a + 1

Multiplying by 2 => (a + 1) x 2

Dividing by 3 => (a + 1) x 2/3

The final number is 4 => (a + 1) x 2/3 = 4

Now, we are going to work out a

Dividing both sides by 2/3:

(a + 1) x (2/3)/(2/3) = 4/(2/3)

then, we have:

(a + 1) x 1 = 4 x 3/2

then, we have:

a + 1 = 12/2

or

a + 1 = 6

=> a = 6 - 1 = 5

Hope this helps!