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Cerrena [4.2K]
1 year ago
12

Which function could represent the value of a rare coin that increases over time? y=−32x+1y is equal to negative 3 halves x plus

1 y=−23x−7y is equal to negative 2 thirds x minus 7 y=23x+2y is equal to 2 thirds x plus 2 y=32x−6y is equal to 3 halves x minus 6
Mathematics
1 answer:
KATRIN_1 [288]1 year ago
8 0

The function that could represent the value of a rare coin that increases over time is; y = ²/₃x + 2

<h3>How to create linear equations?</h3>

We want to find which of the equations below could represent the value of a rare coin that increases over time

y = -³/₂x + 1

y = -²/₃x - 7y

y = ²/₃x + 2

y = ³/₂x - 6

Now, the general form of a linear equation in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, for the equation to be increasing over time, it means the slope must be positive and the y-intercept must also be positive.

Looking at the given options, the only one where slope and y-intercept is positive is y = ²/₃x + 2

Read more about Linear Equations at; brainly.com/question/13738662

#SPJ1

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What is the resistance of a 3.1 m length of copper wire 1.7 mm in diameter?
Bumek [7]
R = ?
L = 3.1 m;
r = 1.7 mm/ 2 = 0.85 mm = 0.85 * 10^(-3) m
Resistivity of copper ( rho ) = 1.68 * 10 ^(-8) [Ohm m ]
A = 3.15 * ( 0.85 * 10^(-3))^2 = 2.26865 * 10 ^(-6)
R = ( Rho ) * L / A = 1.68 * 10^(-8) * 3.1 m / 2.26865 * 10^(-6) =
= (1.7 * 3 .1 / 2.26865 )* 10^(-2) = 0.02323 Ohms ( the resistance )
8 0
4 years ago
Nora's paper airplane flew 9 1/6 feet. That was 2 3/4 feet farther than Max's plane flew. Write and solve an equation to show ho
stepan [7]

Answer:

Max's paper airplane flew \frac{77}{12} feet or 6\frac{5}{12} feet.

Step-by-step explanation:

As Nora's paper airplane flew 9 1/6 feet

i.e.

9\frac{1}{6}=\frac{55}{6}

Nora's paper was farther than Max's plane flew by = 2 3/4 feet

i.e.

2\frac{3}{4}=\frac{11}{4}

Thus the equation to show how far Max's paper airplane flew is:

\:\:9\frac{1}{6}-2\frac{3}{4}

=\frac{55}{6}-\frac{11}{4}

\mathrm{Least\:Common\:Multiplier\:of\:}6,\:4:\quad 12

\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}

=\frac{110}{12}-\frac{33}{12}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{110-33}{12}

\mathrm{Subtract\:the\:numbers:}\:110-33=77

=\frac{77}{12}

=6\frac{5}{12}

Therefore, Max's paper airplane flew \frac{77}{12} feet or 6\frac{5}{12} feet.

6 0
3 years ago
A surveyor is conducting measures to see how wide a road is
drek231 [11]

Answer:

D) 45 ft

Step-by-step explanation:

The two triangles are shown below.

Given:

BC = 60 ft, CD = 24 ft and DE = 18 ft.

Since, the two triangles are similar, their corresponding sides are in proportion.

So, \frac{AB}{DE}=\frac{BC}{CD}=\frac{AC}{CE}

Now, consider the proportion of sides,

\frac{AB}{DE}=\frac{BC}{CD}\\AB=\frac{BC}{CD}\times DE\\AB=\frac{60}{24}\times 18\\AB=\frac{60\times 18}{24}=45\ ft

Therefore, the distance between A and B is 45 ft.

8 0
4 years ago
Fizzy Waters has been involved in multiple lawsuits regarding the alkaline substance concentration in their product and getting
ser-zykov [4K]

Answer:

Step-by-step explanation:

For the sample, n = 12

Mean, x = (158.2 + 162.8 + 161.5 + 161.2 + 166.5 + 160.1 + 158.4 + 175.6 + 159.9 + 168.8 + 161.9 + 163.7)/12 = 163.22

Variance, s² = (summation(x - mean)²/n

Summation(x - mean)² = (158.2 - 163.22)^2 + (162.8 - 163.22)^2 + (161.5 - 163.22)^2 + (161.2 - 163.22)^2+ (166.5 - 163.22)^2 + (160.1 - 163.22)^2 + (158.4 - 163.22)^2 + (175.6 - 163.22)^2 + (159.9 - 163.22)^2 + (168.8 - 163.22)^2 + (161.9 - 163.22)^2 + (163.7 - 163.22)^2 = 273.5368

Variance, s² = 273.5368/12 = 22.79

This is a test for a single variance. We would set up the test hypothesis.

For the null hypothesis,

H0: σ² ≥ 25

For the alternative hypothesis,

H1: σ² < 25

The formula for determining the test statistic,x² is

x² = (n - 1)s²/σ²

Where n - 1 is the degree of freedom, df.

df = 12 - 1 = 11

x² = (11 × 22.79)/25 = 10.0276

For a test of 90% reliability, Confidence level = 0.9

Cl = 1 - alpha(level of significance)

alpha = 1 - 0.9 = 0.1

The critical value from the chi-square distribution table is 17.28. Since 17.28 > 10.0276, we would reject the null hypothesis. Therefore, the filling machine does not need repair because the variance of the process is not more than 25 oz.

8 0
3 years ago
CAN SOMEONE PLEASE ANSWER THIS QUICKLY I DONT GOT TIME​
sergij07 [2.7K]

Answer:

5/20 x 4/15 =1/15

6/7 x 7/6 =1

2 x 7/10 =7/5

Hope this helps!

6 0
3 years ago
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