2. Some of the dimensions of a square pyramid are shown in the diagram. The height of thesquare pyramid is 7.5 meters. What is the volume of the square pyramid in cubic meters?9 m9 m

Answer:

The highest you could reach with this ladder is 30 feet or 9.14 meters.

Answer:

10/100

Step-by-step explanation:

10% = 10/100;

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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The correct ways to describe the set of nonnegative integers less than or equal to 100 that are perfect cubes are {0, 1, 8, 27, 64}, {1, 8, 27, 64} So correct option are a. and d.

Integers are a set of numbers that includes all positive and negative whole numbers (including zero), as well as their opposites. Integers can be represented on the number line, with positive integers to the right of zero and negative integers to the left of zero.

The correct ways to describe the set of nonnegative integers less than or equal to 100 that are perfect cubes are:

a. {0, 1, 8, 27, 64}

d. {1, 8, 27, 64}

Option a contains all the perfect cubes less than or equal to 100, including 0.

Option d contains the perfect cubes greater than 0 and less than or equal to 100.

Option b is not correct because it describes the set of integers x that satisfy x^3 = y, where y is a nonnegative integer not exceeding C. This set includes all the integers whose cubes are nonnegative integers not exceeding C, not just the perfect cubes less than or equal to 100.

Option c is not correct because it describes the set of integers x that are perfect cubes and also satisfy 0 < x < 100. This set includes all the perfect cubes, not just the ones less than or equal to 100.

Option e is not correct because it includes integers that are not perfect cubes.

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Answer: the answer is the 3rd bubble:)

Step-by-step explanation:

Answer:

1 2/5

Step-by-step explanation:

Flip 2/5 to be 5/2

Multiply.

2/3 ⋅ 2/5 = 10/6

Simplify.

1 2/5

Hope I helped :)

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Answer: "9 more than" means add 9 onto a number. ex: 9 is "6 more than 15",

From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer

The area of the shaded region under the standard normal curve is 0.4834.

Step-by-step explanation:

A random variable X is said to have a normal distribution with mean, µ and variance σ².

Then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z  N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Compute the area under the curve between -2.13 and 0 as follows:

Thus, the area of the shaded region under the standard normal curve is 0.4834.

Answer:

5x = 12

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Given : g = 7 and h = 6

expression : g + 4h

now substitute the given values of g and h

=7 + 4*6

=7 + 24

=31

Answer:

31 is your answer here...

Step-by-step explanation:

7+(4)(6)=31

IF g=7 & h=6

Answer:

a. 95.4

b. UCL = 96.07

LCL = 94.73

c.  Process is in control

Step-by-step explanation:

a. The computation of estimate mean is shown below:-

\(Estimate\ mean = \frac{\Sigma X}{N} \\\\ = \frac{1908.000}{20}\)

= 95.4

b. The computation of Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process is shown below:-

\(UCL = Mean + \frac{3\times \sigma }{\sqrt{Sample\ size} }\)

\(UCL = 95.4 + \frac{3\times (0.5)}{\sqrt{0.5} }\)

= 95.4 + 0.67082

= 96.07

\(UCL = Mean - \frac{3\times \sigma }{\sqrt{Sample\ size} }\)

\(UCL = 95.4 - \frac{3\times (0.5)}{\sqrt{0.5} }\)

= 95.4 - 0.67082

= 94.73

c. The explanation is shown below:-

From the above calculation we can see that the sample lies between LCL AND UCL that is (94.73 ,96.07) ,  

The Process is in control

Answer:

25 + 9^3

Step-by-step explanation:

Answer:

y=-5

Step-by-step explanation:

Equation of the line

Lines can be expressed in several forms. The slope-intercept form of the line is:

y = mx + b

Where m is the slope of the line and m is the y-intercept.

If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:

y = b

To find the value of b, just substitute the given point:

-5=b

The equation of the line is:

y=-5

Answer:

2x+b

Step-by-step explanation:

f(x)=x

2

+bx−21

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

is nax

n−1

.

2x

2−1

+bx

1−1

Subtract 1 from 2.

2x

1

+bx

1−1

Subtract 1 from 1.

2x

1

+bx

0

For any term t, t

1

=t.

2x+bx

0

For any term t except 0, t

0

=1.

2x+b×1

For any term t, t×1=t and 1t=t.

2x+b

Answer:

13x

Step-by-step explanation:

(x)(4(2)+5)

x(8+5)

x(13)

13x . answer

Answer:

\(\huge\boxed{\sf f(4x + 5) = 16x\² + 40x + 25}\)

Step-by-step explanation:

Given that:

f(x) = x²

Put x = 4x + 5

f(4x + 5) = (4x + 5)²

f(4x + 5) = (4x + 5)(4x + 5)

f(4x + 5) = 4x(4x + 5) + 5(4x + 5)

f(4x + 5) = 16x² + 20x + 20x + 25

f(4x + 5) = 16x² + 40x + 25

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

The estimate of the population proportion of defective battery is 0.1333.

Step-by-step explanation:

Estimate of the population proportion of defective battery:

The estimate of the population proportion is the sample proportion.

Sample proportion:

Number of desired outcomes divided by the number of total outcomes.

Proportion of defective battery:

20 defective out of 150. Thus:

\(p = \frac{20}{150} = 0.1333\)

The estimate of the population proportion of defective battery is 0.1333.

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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Answer: D

Step-by-step explanation:

Hope it helps

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The number is 18 . A ) The equation is 12 + 10 x  = 192 B ) x = 18 .

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.

B ) Solving above equation 12 + 10 x  = 192

10 x  = 192 -12

10 x = 180

x = 18

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Answer:

The answer is 44.625 .

Step-by-step explanation:

Basically, if we have a pretend number line in your head, subtract 10%. Now, you will have -10%. Add 15%, now: you will have 5%. So, do $42.50 x 5%.

How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

The answer is 44.625  payed in total to their favorite restaurant.

The required value of dosage in mg/min is given as 8 mg/min.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Given that,

The dose administered per hour is 60 mL/hr.

And, the infusion is given as 4g for 500 mL.

In order to calculate the dosage in mg/min, ratio and proportion method can be used as follows,

The 500 mL is for 4g.

Then for 1 mL, there is 4/500 g.

Thus, for 60 mL, there is 4/500 × 60 g.

Since 1 g = 1000 mg.

The above expression can be written as,

4/500 × 60 × 1000 mg = 480 mg

Now, the dosage can be calculated as,

480 mg/hr

= 480/60 mg/min

= 8 mg/min

Hence, the dosage in milligram per minutes is given as 8 mg/min.

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Answer:

7 1/

6

≅ 7.1666667

Step-by-step explanation:

Hope this helps :)

i think the answer is 4 7/12

Answer:

222

Step-by-step explanation:

9*23=207

207+15=222

Answer:

The first one is correct

Step-by-step explanation:

ITs all good