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3 years ago

What are the next three terms of the sequence below?

Mathematics

2 answers:

Murljashka [212]3 years ago

6 0

Answer:

The answer is D. 64,256,1024

PlZ MARK ME BRAINIIEST

Step-by-step explanation:

You mulitply by 4

vichka [17]3 years ago

4 0

Answer:

64, 256, 1024 (D)

Step-by-step Explanation:

The sequence is following some rule. And the rule is: Multiplying the term with 4 to get the next term. Like:

$1 × 4 = 4$
$4 \times 4 = 16$

Similarly, the next terms are:

$16 \times 4 = 64$
$64 \times 4 = 256$
$256 \times 4 = 1024$

The terms are 64, 256, 1024 which matches with Option D. And that's the correct answer

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The triangles above are similar write a similarity statement if possible solve for x the images are not drawn to scale

e-lub [12.9K]

Answer:

The value of x is 8.

Step-by-step explanation:

In triangle PQR and XZY,

$\angle P=\angle X=90^{\circ}$

$\angle Q=\angle Z$

$\angle R=\angle Y$

By AA property of similarity, we can say that

$\triangle PQR\sim \triangle XZY$

The similarity statement is $\triangle PQR\sim \triangle XZY$ .

The corresponding sides of similar triangles are proportional. Since both triangles are similar, so

$\frac{PQ}{QR}=\frac{XZ}{ZY}$

$\frac{21}{28}=\frac{5x+2}{7x}$

$\frac{3}{4}=\frac{5x+2}{7x}$

$7x\times 3=(5x+2)\times 4$

$21x=20x+8$

$21x-20x=8$

$x=8$

Therefore the value of x is 8.

4 0

4 years ago

Draw three lines that are parallel to the x-axis. Read the ordered pairs for points on each line. What generalization can you ma

irina [24]

Answer:

If the line is parallel to the x-axis than only x value changes and y value remains constant.

Step-by-step explanation:

Consider the provided information.

We need to draw three lines that are parallel to the x-axis.

The required graph is shown below:

Now the ordered pairs for points on each line is:

For line y=-3 The ordered pairs are (-1,-3), (0,-3) and (1,-3)

For line y=2 The ordered pairs are (-2,2), (2,2) and (3,2)

For line y=4 The ordered pairs are (-3,4), (0,4) and (4,4)

Here we can observe the x value changes but y values remains constant.

Therefore, if the line is parallel to the x-axis than only x value changes and y value remains constant.

7 0

3 years ago

Gun ownership Concerned about recent incidence of gun violence, a public interest group conducts a poll of 850 randomly selected

denis23 [38]

Answer:

The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.

The confidence level is the probability of the confidence interval containing the population proportion.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Poll of 850 randomly selected American adults and finds that 44% of those surveyed have a gun in their home.

This means that $n = 850, \pi = 0.44$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 - 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4066$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 + 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4734$

b. Explain what is meant by 95% confidence in this context.

The confidence level is the probability of the confidence interval containing the population proportion.

5 0

3 years ago

A $3300 principal earns 4% intrest, compounded annually. After 3 years, what is the balance in the account.

Nikitich [7]

This can be answered using the following formula for interest:

Let:
F = future value
P = principal value
n = interest period (n = 3)
i = interest percentage

F = P(1 + i)^n

Substituting the given values, we arrive at the following:
F = 3300(1 + 0.04)^3
F = 3712.05

Therefore, after 3 years, the balance in the account will be $3712.05

4 0

4 years ago

Suppose you are choosing between two checking accounts. One account charges you $1.50 ATM

valentinak56 [21]

Answer:

Step-by-step explanation:

$15.00 / $1.50 = 10

4 0

4 years ago