A Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The​ findings, the results of a​ poll, showed that​ 46% would like more discussion about the​ family's financial​ situation, 37% would like to talk about​ school, and​ 30% would like to talk about religion. These and other percentages were based on a national sampling of 532 teenagers. Estimate the proportion of all teenagers who want more family discussions about school. Use a ​95% confidence level.

[tex]2800(0.95)^t~~ = ~~2800(b)^{\frac{t}{10}}\implies \cfrac{2800(0.95)^t}{2800}=b^{\frac{t}{10}}\implies 0.95^t=b^{\frac{t}{10}} \\\\\\ (0.95)^{\frac{10t}{10}}=b^{\frac{t}{10}}\implies (0.95^{10})^{\frac{t}{10}}=b^{\frac{t}{10}}\implies (0.5987)^{\frac{t}{10}}\approx b^{\frac{t}{10}}\implies 0.5987 \approx b \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(t)\approx 2800(0.5987)^{\frac{t}{10}}~\hfill[/tex]

Answer:

See below ↓

Step-by-step explanation:

3.

4.

5.

Answer:10/7 and mixed number form is 1 3/7

[tex]\sf y=50\left(1.8\right)^{x}[/tex]

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

the first term : 50

crosses point : (0, 50), (1, 90)

solve for y,

[tex]\sf y=50\left(1.8\right)^{1}[/tex]

[tex]\sf y=90[/tex]

Graph:

Answer: 70 degrees

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

1/4 ÷ 2 = 0.125

0.125 as a decimal is 1/8

Work Shown:

i = P*r*t

i = 3000*0.025*4

i = 300

Answer:

Acute angle

Step-by-step explanation:

Acute angle = less than 90 degrees

Answer:

acute angles

Step-by-step explanation:

Angles between 0 and 90 degrees (0°< θ <90°) are called acute angles. Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles. Angles that are 90 degrees (θ = 90°) are right angles.

Answer:

1 cent

Step-by-step explanation:

Dime = 10 cents

8 Dimes = 8 * 10 = 80 Cents

1 Nickel = 5 Cents

80 + 5 = 85

85 - 84 = 1 Cent

[tex]2x {}^{2} - x - 4[/tex]

[tex]x = \frac{ - ( - 1) + \sqrt{1 - 4(2)( - 4)} }{2(2)} = \frac{1 + \sqrt{33} }{4} [/tex]

[tex]x = \frac{1 - \sqrt{33} }{4} [/tex]

[tex](x - \frac{1 + \sqrt{33} }{4} )(x - \frac{1 - \sqrt{33} }{4} )[/tex]

[tex](4x - 1 - \sqrt{33} )(4x - 1 + \sqrt{33} )[/tex]

Answer:

0.00236

Step-by-step explanation:

Move the decimal left 3 times as the exponent is negitiave 3

Answer:

B is the right answer

Step-by-step explanation:

Subtract 14 from each side to get the value of m

21 - 14 = 7 = m

m = 7

Answer:

Step-by-step explanation:

12g - 17 ≥ 17

12g ≥ 34

g ≥ [tex]\frac{34}{12}[/tex]

g ≥ [tex]\frac{17}{6}[/tex]

Answer:

A

Step-by-step explanation:

Find the number of bottles in 5 cases:

5 × 12 = 60

Find the number of liters in 60 bottles:

60 × 3 = 180

180 liters of laundry detergent

Answer:

-> See attached

115.893 meters²

Step-by-step explanation:

   See attached for my sketch.

    Area for a rectangle is A = L * W:

9.78 meters * 11.85 meters = 115.893 meters²

Answer:

112 ft

Step-by-step explanation:

AL = (a+b+c)h

= (6+12+10) x 4

= 112 ft

Answer:

x = -4

Step-by-step explanation:

Vertical lines are up and down, which means the x coordinate stays the same.

This means the line is in the form

x=

x = -4

Answer:

Step-by-step explanation:

A vertical line has the general equation of x = a. y can be anything.

The x value that you will use is -4. Every point must have -4 as its value for a.

Answer: x = -4

Answer:

P=300cm

Step-by-step explanation:

P=4a=4.75×4=300cm

[tex]\green{ \underline { \boxed{ \sf{Perimeter \: of \:Square = 4 \times side }}}}[/tex]

Putting Values -

[tex]\begin{gathered}\\\implies\quad \sf Perimeter \:of \:Square = 4 \times 75 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Perimeter \: of \:Square = 300 sq. \:cm \\\end{gathered} [/tex]

>>Therefore, Perimeter of the Square is 300 sq. cm

Answer:

301 feet

Step-by-step explanation:

plug in the known values

[tex]85=\sqrt{24d}[/tex]

square both sides to cancel the square root

[tex]7225=24d[/tex]

divide both sides by 24 to get d on its own

[tex]d=301.041[/tex] feet

to the nearest foot is 301 feet

Answer: 13

Step-by-step explanation:

Answer:

Hey Dude....

Step-by-step explanation:

This is ur answer.....

Hope it helps!

Brainliest pls!

Follow me! :)

Step-by-step explanation:

let 1 pound of nail = x

so, the carved out waste nail will be = 12x

total nails = 13x

so the equation is =

13x - 12x = x

OR

x + 12x = 13x

Or

13x - x = 12x

If A:B = 7:8 an B:C =12:7,find

Step-by-step explanation:

Given point are: P(at², 2at)

Q(a/t², 2a/t)

S(0, 0)

Now, the distance between A(x₁y₁) and B(X₂, y₂)

then AB = √{(x₂ - x₁)² + (y₂ - y₁)²} units

(i) The distance between S and P:

(x₁, y₁) = (0, 0) ⇛x₁= 0, y₁ = 0

(x₂, y₂ ) = (at², 2at) ⇛x₂ = at², y₂ = 2at

SP = √{at² - 0)² + (2at - 0)²}

= √{(at²)² + (2at)²}

= √{a²t²*² + 4a²t²}

= √{a²t⁴ + 4a²t²}

= √{a²t²(t²+4)}

SP = at√(t² + 4)→→→Eqn(1)

(ii) The distance between S and Q :

(x₁, y₁) = (0, 0) ⇛x₁= 0, y₁ = 0

(x₂, y₂ ) = (a/t², 2a/t) ⇛x₂ = a/t², y₂ = 2a/t

SQ = √[{(a/t²) - 0} + {(2a/t) - 0}

= √{(a/t²)² + (2a/t)²}

= √{(a²/t²*²) + (4a²/t²)}

= √{(a²/t⁴) + (4a²/t²)}

= √{(a² + 4a²t²)/t⁴}

= √[{a²(1 + 4t²)}/t⁴]

SQ = (a/t²)√(1 + 4t²) →→→ Eqn(2)

Now,

(1/SP) + (1/SQ) = [1/{at√(t² + 4)}] + [1/{(a/t²)√(1 + 4t²)}]

= (1/at)[1/{√(t² + 4)}] + (t²/a)[1/{(√1 + 4t²)}]

= (1/a)[[1/{t√(t² + 4)}] + [t²/{√(1 + 4t²)}]]

(1/SP) + (1/SQ) = 1/a is not independent of 't'

If suppose S = (a, 0) then

SP = √{(at² - a)² + (2at - 0)²}

= √{a²(t² - 1)² + (2at)²}

= a√{(t² - 1)² + 4t²}

= a√{(t² + 1)²}

SP = a(t² + 1)

1/SP = 1/{a(t² + 1)} →→→Eqn(1)

And

SQ = √[{(a/t²) - a}² + {(2a/t) - 0}²]

= √[a²{(1/t²) - 1}² + a²(2/t)²]

= a√[{(1 - t²)²/t⁴} + (4/t²)]

= a√[{(1 - t²)² + 4t²}/t⁴]

( a/t²)√(1 + t²)²

SQ = (a/t²)(1 + t²)

1/SQ = 1/{(a/t²)(1 + t²)} = t²/{a(1 + t²)} →→→Eqn(2)

Therefore, (1/SP) + (1/SQ)

= 1/{a(t² + 1)} + t²/{a(1 + t²)}

= (1 + t²)/a(1 + t²)

= 1/a

1/a is independent of 't'.

1. 1 and -1 are two such rational numbers whose multiplicative inverse is same as they are.

2. absolute value is resembled using the formula : |x|

Here,

[tex]\hookrightarrow \sf |\dfrac{-3}{11} |[/tex]

[tex]\hookrightarrow \sf \dfrac{3}{11}[/tex]

final answer: 3/11

3.

[tex]\hookrightarrow \sf \dfrac{1}{2} \div \dfrac{3}{5}[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{2} * \dfrac{5}{3}[/tex]

[tex]\hookrightarrow \sf \dfrac{5}{6}[/tex]

4.

Associative property can only be used with addition and multiplication

Answer:

Step-by-step explanation:

firstly the area for teh rectangle is 12 x 15 = 18are0

the area for the circle is 113.1 sq inches because  pi x r squared

Answer:

  50.32 cm²

Step-by-step explanation:

The area of a triangle can be computed using the formula ...

  A = 1/2bh

For a triangle with base 3.7 cm and height 6.8 cm, the area is ...

  A = 1/2(3.7 cm)(6.8 cm) = 12.58 cm²

__

For four (4) triangles, Señora Cruz will need 4 times this area:

  4 × (12.58 cm²) = 50.32 cm²

Señora Cruz will need 50.32 cm² of paper to create her door decor.

Answer:$940

Step-by-step explanation:

29%=$272.60

100%=

100%*$272.60/29%=$940

$940

[tex] \sin(60) = \frac{a}{4 \sqrt{3} } \\ [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{a}{4 \sqrt{3} } \\ [/tex]

[tex]a = 6[/tex]

_____________________________________________

[tex] \cos(60) = \frac{c}{4 \sqrt{3} } \\ [/tex]

[tex] \frac{1}{2} = \frac{c}{4 \sqrt{3} } \\ [/tex]

[tex]c = 2 \sqrt{3} [/tex]

_____________________________________________

[tex] \sin(45) = \frac{a}{b} \\ [/tex]

[tex] \frac{ \sqrt{2} }{2} = \frac{6}{b } \\ [/tex]

[tex]b = 6 \sqrt{2} [/tex]

_____________________________________________

[tex]d = a = 6[/tex]

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