I NEED HELP ON THIS ASAP!!!

The surface area of the given pyramid is 203 in²

From the question, we are to calculate the surface area of the given square pyramid

From the given information, the base of the pyramid is 7 in

and

The slant height of the pyramid is 11 in

The surface area of a pyramid can be calculated by using the formula

A = a² + 2al

Where A is the area of the pyramid

a is the side base

and l is the slant height

From the given information,

a = 7 in

and

l = 11 in

Thus,

Surface area = 7² + 2(7)(11)

Surface area = 49 + 154

Surface area = 203 in²

Hence,

The surface area is 203 in²

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After conversion, B) 5 mL is 0.005 L milliliters

The quantity given = 0.005 L

Using a unit conversion, the same property is stated in a different unit of measurement. Minutes can be used to measure time instead of hours, and feet, kilometres, or any other measurement method can be used to measure distance in place of miles.

To convert from litres to millilitres, it is required to multiply the quantity by 1000. This is because there are 1000 millilitres in one litre.

Therefore, converting the given value-

= 0.005 L x 1000 mL/L

= 5

Thus, the resultant value after conversion is 5mL

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A good way to solve for lines and segments will be to know the equations and properties of the shapes that we are provided with.

To get the answers for the lines and segment, you can begin by applying the following steps:

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The bacterial count after 48 hours decreases. A correlation coefficient of 0 would indicate no relationship between the two variables.

To find the correlation between the bacterial count after 24 hours and 48 hours, we would need the actual numerical values of the bacterial counts for each strain. Without that information, we cannot calculate the correlation coefficient. However, it is important to note that a positive correlation would indicate that as the bacterial count after 24 hours increases, the bacterial count after 48 hours also increases. A negative correlation would indicate that as the bacterial count after 24 hours increases, the bacterial count after 48 hours decreases. A correlation coefficient of 0 would indicate no relationship between the two variables.

The complete question is-

Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. Here are the resulting bacterial counts for each condition:

24 hr: 66, 71, 93, 102, 62

48hr: 110,123,146,136,113

If we had plotted bacterial count at 35 degrees Celsius on the y-axis instead of the x-axis, the value of the correlation coefficient would be

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Answer: see below

Step-by-step explanation:

To complete the table, we need to evaluate the function f(u) = u² + 2u + 3 for the given values of u.

f(u) U

-20 (-20)² + 2(-20) + 3 = 403

-10 (-10)² + 2(-10) + 3 = 117

0 0² + 2(0) + 3 = 3

10 10² + 2(10) + 3 = 123

The table can be filled as follows:

f(u) U

403 -20

117 -10

3 0

123 10

The function f(u) = u² + 2u + 3 is a quadratic function, which has a parabolic shape. The coefficient of u² is positive, which means the parabola opens upward. The vertex of the parabola is at the point (-1, 2), which is the minimum point of the function.

As u increases or decreases from 0, the function increases. This is reflected in the table, where we see that the values of f(u) increase as u moves away from 0.

The table gives us a set of ordered pairs that represent the function f(u) for the given values of u. These ordered pairs can be plotted on a coordinate plane to draw the graph of the function.

The length of NI is 8.5 cm.

The area of a kite can be found using the formula: Area = (d1 * d2)/2, where d1 and d2 are the lengths of the diagonals.

Substituting the given values, we get:

Area = (12 * 15)/2

Area = 90 square cm

Therefore, the area of the kite is 90 square cm.

In a parallelogram, opposite angles are equal. So, we have:

Angle A = Angle C (opposite angles)

Angle B = Angle D (opposite angles)

Also, sum of adjacent angles in a parallelogram is 180 degrees. So, we have:

Angle A + Angle B = 180 degrees

(x+30) + (3x-90) = 180

4x - 60 = 180

4x = 240

x = 60

Therefore, Angle A = x + 30 = 90 degrees, and Angle B = 3x - 90 = 90 degrees.

Let the shorter base of the trapezoid be x. Then, the longer base is x+6 (as given in the problem).

The median of a trapezoid is the average of the two bases. So, we have:

Median = (x + x + 6)/2 = 19

2x + 6 = 38

2x = 32

x = 16

Therefore, the shorter base of the trapezoid is 16 m and the longer base is 22 m.

In an isosceles trapezoid, opposite angles are supplementary. So, we have:

Angle C + Angle L = 180 degrees

4x + 3 + 5x - 15 = 180

9x - 12 = 180

9x = 192

x = 21.33

Therefore, the value of x is 21.33.

In a trapezoid, the median is the average of the two bases. So, we have:

AB = 18 (given)

Median = (SP + NI)/2

But SP = NI (opposite sides of a trapezoid are equal)

So, Median = 2SP/2 = SP

Therefore, SP = Median = 19/2 = 9.5 cm

Also, AB = SP + NI

18 = 9.5 + NI

NI = 8.5 cm

Hence concluded that the length of NI is 8.5 cm.

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The quarterly dividend payment per share based on the question above will be: $0.02.

The close price for the week will be: $5.45.

For one to find the closing price for the week, we have to divide the total cost of the shares by using the number of shares that was bought so it will be:

Close price = Total cost / Number of shares

                    = $2,790.40 / 512

                    = $5.45

To know the quarterly dividend payment per share, we have to calculate the annual dividend payment per share before we can get it so it will be:

Annual dividend per share = Total annual dividend / Number of shares

                                              = $40.96 / 512

                                                = $0.08

From the question, the dividend was paid quarterly, we then divide the annual dividend per share by 4 so as to get the quarterly dividend per share:

Quarterly dividend per share = Annual dividend per share / 4

                                                  = $0.08 / 4

                                                   = $0.02

Hence the quarterly dividend payment per share will be: $0.02.

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See text below

Ignoring commission, 512 shares of Targa Resources (TRGP) were purchased for $2,790.40 at the clos for the week. Find the close price for the week. Then, find the quarterly dividend payment per share if the annual dividend amount paid was $40.96. (7pts)

EARNINGS

52-WEEK

TICK

VOL.

WEEK'S

LATEST

THIS NEXT DIV

High Low

Name

Sym.

100s

Yld.

P/E Last Chg.

Year

Year

Year

Amt

8.50

3.20

Targa Resources

TRGP

412574 1.8

PO

dd

+0.41

0.25

0.18

0.12

The values for p and q in the equation (x² - 6x + 9 = 49) transformed into (x - p)² = q are p = 3 and q = 40, so the answer is option A: -3 and 40.

An equation is a mathematical statement that shows that two expressions are equal. It consists of variables, constants, and mathematical operators such as addition, subtraction, multiplication, and division. Equations are used to solve problems and find unknown values of variables.

In the given question,

To transform the equation x² - 6x + 9 = 49 into the equation (x - p)² = q, we can first subtract 49 from both sides to get:

x² - 6x - 40 = 0

Next, we complete the square by adding (6/2)² = 9 to both sides:

x² - 6x + 9 - 40 + 9 = 0 + 9

(x - 3)² - 22 = 0

Now we can see that p = 3 and q = 22.

Therefore, the answer is D) 3 and 49.

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Null hypothesis: Bags are filled correctly at 441 grams. Alternative hypothesis: Bags are overfilled (mean weight > 441 grams).

The null hypothesis (H0) is that the bags are filled correctly at the 441 gram setting, meaning the mean weight of the bags is 441 grams. The alternative hypothesis (Ha) is that the bags are overfilled, meaning the mean weight of the bags is greater than 441 grams. Thus, the hypotheses can be written as:

H0: μ = 441

Ha: μ > 441

To test these hypotheses, we can use a one-sample t-test with a significance level of 0.02. We will compare the sample mean weight of a random sample of bags to the population mean of 441 grams, using the t-test statistic and the corresponding p-value. If the p-value is less than 0.02, we can reject the null hypothesis and conclude that the bags are overfilled

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The length of the string required to fly the kite at a height of 75 meters from the ground is 86.6 meters.

The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse. In this case, the opposite side is the height of the kite (75 m), and the hypotenuse is the length of the string that we need to find. We can set up an equation using the sine function:

sin(60 degrees) = opposite/hypotenuse

sin(60 degrees) = 75/hypotenuse

We can simplify the equation using the value of the sine of 60 degrees, which is √3/2.

√3/2 = 75/hypotenuse

To solve for the length of the string, we can cross-multiply and simplify:

hypotenuse = 75/(√3/2)

hypotenuse = (75*2)/√3

hypotenuse = 150/√3

hypotenuse = (150/√3) * (√3/√3) (to rationalize the denominator)

hypotenuse = (150√3)/3

hypotenuse = 50√3 meters = 86.6 meters.

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Complete Question:

A kite is flying at a height of 75 m from the level ground, attached to a string inclined at 60 ∘ to the horizontal. Find the length of the string, assuming that there is no slack in it. [Take √ 3 =1.732].

Answer: c

Step-by-step explanation:

Answer: Look below:

Step-by-step explanation:

when n = 1:

a1 = 4 x 3^(1-1) = 4 x 3^0 = 4 x 1 = 4

so a1 = 4

similarly working:

a2 = 4 x 3^1 = 12

a3 = 36

a4 = 108

a5 = 324
a6 = 972

The equation of the line which is as graphed in the task content is; Choice D; 5x - 3y = 3.

By observation, two points on the given line are; (0, -1) and (3, 4).

On this note, the slope of the line can be determined as the rate of change in y to change in x as follows;

slope, m = (4 - (-1)) / (3-0)

Slope, m = 5 / 3.

Using the point-slope form equation; using the slope, m = 5/3 and point (3, 4).

y - 4 = 5/3 (x - 3)

3y - 12 = 5x - 15

Therefore, 5x - 3y = 3.

Ultimately, the equation of the line is; Choice D; 5x - 3y = 3.

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The cost of the car with 60,000 miles would be = $13,000 approximately.

To calculate the cost of the car form the given graph above is to draw a straight line that connects most of the points of interception.

From the graph, the most appropriate point of interception would be on $13,000 since each line in y-axis represents a thousand dollars.

Therefore, the cost of the car with 60,000 miles would be = $13,000 approximately.

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Answer:

We can break down the total area of grass that Nibbles can nibble into two parts: the original rectangular pen, and the additional grass that Nibbles can reach as the pen is moved.

The area of the original rectangular pen is:

A1 = length x width = 3m x 2m = 6 square meters

To calculate the area of the additional grass, we can visualize the movements of the pen. The pen moves 1 meter to the east, 2 meters to the south, 1 meter to the west, and 2 meters to the north. This creates an irregular pentagon shape, as shown in the diagram below:

```

+-------+

| |

| |

E |

+----+---+ |

| S|

| |

| |

| |

| |

| |

+-----------+

W

```

To calculate the area of this irregular pentagon, we can divide it into two triangles and one rectangle:

- The east and west sides of the pen form a rectangle with dimensions 1m x 2m, for an area of 2 square meters.

- The south side of the pen creates a right triangle with legs of 2m and 1m, for an area of (1/2) x base x height = 1 square meter.

- The north side of the pen creates a right triangle with legs of 2m and 1m, for an area of (1/2) x base x height = 1 square meter.

Therefore, the total area of grass that Nibbles can nibble is:

A = A1 + 2 + 1 + 1 = 10 square meters.

So the answer is 10 square meters.

Therefore, the probability of getting a prime number on one die and a composite number on the other die when rolling two dice simultaneously is 1/6 or approximately 0.1667.

Probability theory is a branch of mathematics that deals with the study of random events and the analysis of their outcomes. It is widely used in statistics, science, engineering, finance, and many other fields to model and predict the behavior of complex systems.

Here,

There are a total of 6 x 6 = 36 possible outcomes when two dice are rolled simultaneously. We need to count the number of outcomes where one die shows a prime number and the other die shows a composite number.

Prime numbers in the sample space are 2, 3, and 5. Composite numbers are 4, 6, and any number greater than 1 that is not prime.

So, there are three possible outcomes where one die shows a prime number and the other die shows a 4 or 6:

(2, 4), (2, 6), (3, 4), (3, 6), (5, 4), (5, 6)

Therefore, there are a total of 6 possible outcomes where one die shows a prime number and the other die shows a composite number.

The probability of getting one prime number and one composite number on the two dice is:

P = number of favorable outcomes / total number of possible outcomes

P = 6 / 36

P = 1/6

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Answer:

natural radioactive decay, examples: postassium and carbon. Three ways to classify their physical properties mineralogical composition, grain size, and texture

Step-by-step explanation:

Answer:

0 and 1

Step-by-step explanation:

hope this helps ;)

The acceleration acquired by the object of mass 12 Kg and is pushed with a force of 12 N, is given by 5/3 m/s².

We know that from the first law of Newton's Law that,

F = m*a

where 'F' is applied force; 'm' is mass of object and 'a' is acceleration.

Let the acceleration acquired by the object be 'A'.

Mass of the object is (m) = 12 Kg

The force applied (F) = 20 N

So from Newton's First Law of Motion we get,

F = m*a

20 = 12*A

A = 20/12

A = 5/3

Hence the acceleration will be 5/3 m/s².

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The question is in another language. The question is in English will be -

''What is the acceleration acquired by an object that has a mass of 12 Kg and is pushed with a force of 20N?''

we are 95% confident that the true proportion of people with brown hair in the U.S. falls between 0.532 and 0.728.

To construct a 95% confidence interval for the proportion of people with brown hair in the U.S., we can use the following formula:

[tex]Confidence Interval = p± z \sqrt{\frac{p(1-p)}{n} }[/tex]

where p is the proportion of people with brown hair in our sample, z is the critical value for a 95% confidence level (which is 1.96), and n is the sample size.

In this case, our sample proportion is , and our sample size is 100. Plugging these values into the formula, we get:

[tex]Confidence Interval = 0.63  ± 1.96\sqrt{\frac{0.63(1-0.63)}{100} }[/tex]

Simplifying the expression inside the square root, we get:

[tex]Confidence Interval= 0.63 ± 0.098[/tex]

Therefore, the 95% confidence interval for the proportion of people with brown hair in the U.S. is:

[tex]\frac{63}{100}  = 0.63[/tex](0.532, 0.728)

This means that we are 95% confident that the true proportion of people with brown hair in the U.S. falls between 0.532 and 0.728.

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Answer:

Θ ≈ 21.62°

Step-by-step explanation:

using the sine ratio in the right triangle

sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{19}[/tex] , then

Θ = [tex]sin^{-1}[/tex] ( [tex]\frac{7}{19}[/tex] ) ≈ 21.62° ( to the nearest hundredth )

Answer:

-1/3

Step-by-step explanation:

Use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to find the slope given the 2 points:

1-2

------

-4-(-7)

-1/3 is your slope

11. The area difference between them is 96 square units (192 - 96).

12. The trough stands 4 feet tall.

11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).

12. Let the height of the trough be h. The volume of the trough is given by the formula:

Volume = base area x height

Substituting the given values:

96 = 24h

Dividing both sides by 24:

h = 4

Therefore, the trough is 4 feet tall.

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Answer:

Yes it is an exponential function

Step-by-step explanation:

The given equation can be written in the form y = abˣ , and:

a and b are constants (a = 2, b = 15)

a ≠ 0

b > 0

b ≠ 1

There are 6 ways to get two heads and two tails (in any order) when flipping a coin 4 times.

When flipping a coin 4 times, there are 2 possible outcomes (heads or tails) for each flip.

Therefore, there are a total of 2^4 = 16 possible outcomes for 4 coin flips.

To find the number of favorable outcomes for getting two heads and two tails (in any order), we can use combinations.

We need to choose 2 coin flips out of 4 to be heads, which can be done in C(4,2) = 6 ways.

Once we have chosen the positions for the heads, the remaining positions must be tails.

So there are 6 ways to get two heads and two tails (in any order) when flipping a coin 4 times.

These outcomes are:

HH-TT

HT-HT

TH-HT

TT-HH

HT-TH

TH-HT

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