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2 years ago

Which object would most likely have rotational symmetry?

Mathematics

2 answers:

SashulF [63]2 years ago

8 0

Answer:

B: a bicycle wheel

Step-by-step explanation:

Viefleur [7K]2 years ago

3 0

Answer:

a bicycle wheel

Step-by-step explanation:

the wheel is round, and because of the spokes on it connect to the other side, you can see how many times it can rotate before leading back to the first spoke, therefore, counting the number of spokes, you can see how many rotations is has, thus staying symmetrical.

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A 12 pack of cola costs $5.46. How much does one can of cola cost? In other words, find the unit rate of one can of cola.

Travka [436]

Answer:

.45

Step-by-step explanation:

5.46 is a 12 pack

5.46/12 = .455

5 0

2 years ago

Read 2 more answers

Tia shares 53 balloons equally among 4 children. How many balloons will be left over?

hram777 [196]

Answer:

1 balloon

Step-by-step explanation:

if we take 53 divided by 4, we get 13 so each child gets 13 balloons leaving one behind

3 0

2 years ago

Which of the binomials below is a factor of this trinomial x^2-12x+35?

Novay_Z [31]

Answer:

Step-by-step explanation:

The trinomial $x^2-12x+35$ is of the form $x^2+bx+c$ . Then, it can be factored by searching two numbers that added are -12 and multiplied are 35. Those numbers are -7 and -5. Then,

$x^2-12x+35 = (x-7)(x-5)$

So, the answer is A.

5 0

2 years ago

Read 2 more answers

4. Hydrocarbons in the cab of an automobile were measured during trips on the New Jersey Turnpike and trips through the Lincoln

pochemuha

Answer:

No these these result do not differ at 95% confidence level

Step-by-step explanation:

From the question we are told that

The first concentrations is $c _1= 30.0 \ g/m^3$

The second concentrations is $c _2 = 52.9 \ g/m^3$

The first sample size is $n_1 = 32$

The second sample size is $n_2 = 32$

The first standard deviation is $\sigma_1 = 30.0$

The first standard deviation is $\sigma_1 = 29.0$

The mean for Turnpike is $\= x _1 = \frac{c_1}{n} = \frac{31.4}{32} = 0.98125$

The mean for Tunnel is $\= x _2 = \frac{c_2}{n} = \frac{52.9}{32} = 1.6531$

The null hypothesis is $H_o : \mu _1 - \mu_2 = 0$

The alternative hypothesis is $H_a : \mu _1 - \mu_2 \ne 0$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }}$

$t = \frac{0.98125 - 1.6531}{ \sqrt{\frac{30^2}{32} +\frac{29^2}{32} }}$

$t = - 0.0899$

Generally the degree of freedom is mathematically represented as

$df = 32+ 32 - 2$

$df = 62$

The significance $\alpha$ is evaluated as

$\alpha = (C - 100 )\%$

=> $\alpha = (95 - 100 )\%$

=> $\alpha =0.05$

The critical value is evaluated as

$t_c = 2 * t_{0.05 , 62}$

From the student t- distribution table

$t_{0.05, 62} = 1.67$

$t_c = 2 * 1.67$

=> $t_c = 3.34$

given that

$t_c > t$ we fail to reject the null hypothesis so this mean that the result do not differ

6 0

2 years ago

Parents wish to have $80,000 available for a child's education. If the child is now 5 years old, how much money must be set asid

Ludmilka [50]

Answer: $27,602.60

Step-by-step explanation:

if the kid is 5 years old, there are 13 years left until he is 18.

Now, suppose that the parents set aside an amount A of money in the account.

As the interest is compounded semiannually is compounded two times per year.

The equation that models this situation is:

M(n) = A*(1 + p/(c*100%))^(c*n)

where:

n is our variable, in this case, years.

p is the percentage, in this case, 6%

n is the number of compounds in one unit of the variable, in this case, we have 2.

A is the initial amount, this is the thing we want to find.

Then our equation will be:

M(n) = A*(1 + 6%/(2*%100))^(2*n)

= A*(1 + 0.03)^(2*n) = A*(1.03)^(2n)

And we want that this is equal to $80,000 when n = 13 (remember that when n = 13, the child will be 18 years old)

M(13) = A*(1.03)^(2*18) = $80,000

A = $80,000/((1.03)^(2*18)) = $27,602.60

Then they should deposit $27,602.60 now to meet their financial goal when the child is 18.

5 0

2 years ago