Kurt used the rule add 4,subtract 1 to generate a pattern.the first term in his pattern is 5.wich number could it be

Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, round

Ann [662]

The surface area of the square pyramid is: 451 cm²

The lateral surface area of the square pyramid = 330 cm²

<h3>What is the Lateral Surface Area and Surface Area of a Square Pyramid?</h3>

Surface area = a² + 2al, where a is the base edge and l is the slant height.

Lateral Surface Area = 2al.

Given the following:

a = 11 cm
l = 15 cm

Surface area = a² + 2al = 11² + 2(11)(15)

Surface area = 451 cm²

Lateral Surface Area = 2al = 2(11)(15)

Lateral Surface Area = 330 cm²

Learn more about square pyramid on:

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3 0

2 years ago

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25 PTSS EAY PLZZ ANYONE KNOW THIS I WILL GIVE 5 RATED STAR THANKS AND PROMISE BRAINLIEST ASAPExplain how to write a function rul

Furkat [3]

Answer:

y = -1/2x +2

Step-by-step explanation:

The linear and quadratic function rules we usually study in algebra come in several forms.

For linear function rules (equations of a line), there are more than half a dozen different forms, each with its own use. A few that often come in handy are the 2-point form, the slope-intercept form, the point-slope form, and the intercept form. Here, the 2-point form can be useful, since you have several points on the line to choose from.

The 2-point form of the equation of a line is ...

y = (y2 -y1)/(x2 -x1)·(x -x1) + y1

point (x1, y1) and point (x2, y2) can be any pair of the given points, in any order. Let's use the first two for points 1 and 2.

y = (0 -1)/(4 -2)·(x -2) +1

y = -1/2(x -2) +1 . . . . . . . . this is a suitable function rule. In this simplified form, it is in point-slope form, where -1/2 is the slope and (2, 1) is the point.

If you want to simplify this a bit, you can put it into slope-intercept form by eliminating the parentheses and combining the constant terms:

y = -1/2x +2

5 0

3 years ago

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Assume that the population proportion is 0.56. Compute the standard error of the proportion, σp, for sample sizes of 100, 200, 5

Aliun [14]

Answer:

Standard errors are 0.049, 0.035, 0.022, and 0.016.

Step-by-step explanation:

The given value of population proportion (P) = 0.56

Given sample sizes (n ) 100, 200, 500, and 1000.

Now standard error is required to calculate.

Use the below formula to find standard error.

When sample size is n = 100

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{100}} =0.049$

When sample size is n = 200

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{200}} = 0.035$

When sample size is n = 500

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{500}} =0.022$

When sample size is n = 1000

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{1000}} = 0.016$

4 0

4 years ago

4) A water park has a rule that a person must be a least 48 inches in height, h, to go on a certain wate slide. Which inequality

xxTIMURxx [149]

Answer:

A) Height › 48

Step-by-step explanation:

the height of a person must be greater than 48 in.

6 0

3 years ago

Susan Marciano invested part of her $29,000 bonus in a fund that paid a 10% profit and invested the rest in a stock that suffere

dangina [55]

Answer:The amount invested at 10% is $16000

The amount invested in stock is $13000

Step-by-step explanation:

Let x represent the amount of money that Susan invested in the fund that paid a 10% profit.

Let y represent the amount of money that Susan invested in the stock that that suffered a 4% loss.

Total amount invested is 29000. This means that

x + y = 29000

The profit made on the fund is

10/100 × x = 0.1x

The loss made on the stock is

4/100 × y = 0.04y

if her overall net profit was $1,080, it means that

0.1x - 0.04y = 1080 - - - - - - - -1

Substituting x = 29000 - y. It becomes

0.1(29000 - y) - 0.04y = 1080

2900 - 0.1y - 0.04y = 1080

- 0.1y - 0.04y = 1080 - 2900

- 0.14y = - 1820

y = - 1820/ - 0.14 = 13000

Substituting y = 13000 into x = 29000 - y, it becomes

x = 29000 - 13000

x = 16000

3 0

3 years ago