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yawa3891 [41]
3 years ago
7

4. The money in my savings account and in my sister's savings account is shown in the table below for a few

Mathematics
2 answers:
kodGreya [7K]3 years ago
7 0
Your sister made that cash then spent it
Troyanec [42]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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brett signed up for 2 tennis lessons each month from January through May. How many lessons did he sign up for in all
Vesnalui [34]
He signed up for 10 lessons
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3 years ago
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Solve for x................
alexandr402 [8]

Answer:

Option C

x={1(+/-)2\sqrt{3}}


Step-by-step explanation:

we have

x^{2}-2x-11=0

we know that


The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to


x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}


in this problem we have


x^{2}-2x-11=0

so


a=1\\b=-2\\c=-11


substitute

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-11)}} {2(1)}


x=\frac{2(+/-)\sqrt{4+44}} {2}


x=\frac{2(+/-)\sqrt{48}} {2}


x=\frac{2(+/-)4\sqrt{3}} {2}


x={1(+/-)2\sqrt{3}}


8 0
3 years ago
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2. What is the tangent ratio of angle & within a right triangle?
Dmitry [639]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

According to Trigonometry,

  • \tan( \theta)  =  \dfrac{opposite }{adjacent}

3 0
3 years ago
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A cylindrical 2014-t6 aluminum alloy bar is subjected to compression-tension stress cycling along its axis; results of these tes
Pani-rosa [81]

Complete part of Question:

Assume a factor of safety of 3.0

The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution

Answer:

The maximum allowable load amplitude is 6403.33 N

Step-by-step explanation:

diameter of the bar, d = 12 mm

d = 0.012 m

Cross sectional area of the bar, A = πd²/4

A = π*0.012²/4

A = 0.000113 m²

From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;

At 10⁷ cycles, Maximum stress, S = 170 MPa

S = 170 * 10⁶ Pa

Factor of safety, N = 3.0

The tensile stress is given by the formula:

\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}

The tensile stress is also given by:

\sigma = F/A\\\sigma = F/0.000113

F/0.000113 = 56.67 * 10⁶

F = 56.67 * 10⁶ * 0.000113

F = 6403.33 N

The maximum allowable load amplitude is 6403.33 N

3 0
3 years ago
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There are approximately 40,000 people that live in a city. A sample of 20,000 people from that city are asked and 8,000 live in
Archy [21]

Answer:

16,000 people

Step-by-step explanation:

Let's write a ratio

8,000:20,000

Let's write another ratio

x:40,000

We can write a percent proportion.

\frac{8,000}{20,000} =\frac{x}{40,000}

We can see that the relationship between the denominators is multiplied by 2 so that means the relationship between 8,000 and x is x is 2 times greater than 8,000

Let me know if you have any questions.

8 0
3 years ago
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