Which table represents the statement “A giraffe runs at a rate of 32 miles per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 32, 64, 96. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 16, 32, 48. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 8, 16, 24. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 32, 33, 34.

The equation to show the perimeter of the rectangle is P = 2(2w + 5)

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

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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Based on the net present value profile, Project H has a higher NPV than Project E.

To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:

Project E:

Initial investment: -$100,000

Cash flows for Year 1: $40,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $60,000

Project H:

Initial investment: -$120,000

Cash flows for Year 1: $60,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $40,000

To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.

Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:

For Project E:

PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3

PV = $36,363.64 + $41,322.31 + $45,454.55

PV = $123,140.50

For Project H:

PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3

PV = $54,545.45 + $41,322.31 + $30,251.14

PV = $126,118.90

Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.

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Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

Surface area is 72

The surface area unit is square centimeters, or \(cm^{2}\)

Hope this helps!

Answer:

Surface area:

✔ 72

Surface area units:

✔ square cm

Step-by-step explanation:

Answer:

7/25

Step-by-step explanation:

Of means multiply in math (most of the time).

So multiply.

2/5 x 7/10 = 14/50 divided by 2/2 = 7/25

Answer:

$84

Step-by-step explanation:

63÷3=21

63+21=84

Hope this helps! :)

Given dimensions:

x=31 feet, y= 24 feet and z= 95 feet

We can split the shape above into 3 components: A, B, and C

To find the total area, we will find the sum of the areas of each component

For A

The shape of A is that of a semi-circle.

The area of a semi-circle is given to be

The radius will be the diameter divided by 2

y= diameter

r= radius = y/2

r=24/2 =12 feet

pi=3.14

For B

The shape is a rectangle

The area of a rectangle is given by

A = l x b

where l = 31 and b = 24

Area = 31 x 24

Area = 744 square feet

For C

The shape is a triangle

The area of the triangle is given by

base = 64 feet, height = 24 feet

The total area is

22

At 1.00Pm the temperature was -13°C

So

The equation is

Answer:

Each Pizza will cost $12.55

Step-by-step explanation:

we first going to subtract the following

$47.60 - 5 - 4.95 = $37.65

$37.65 / 3 (the number of pizza ) = $12.55

$12.55

Step-by-step explanation:

Amount spent on 3 pizzas= Total —( amount spent on salad + tip)

=460—(4.95+5)

= $37.65

cost of each pizza= 37.65÷3

= $12.55

Answer:

The expected number of offspring is 2

Step-by-step explanation:

The given parameters can be represented as:

\(\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.24} & {0.25} & {0.19} & {0.17} & {0.15} \ \end{array}\)

Required

The expected number of offspring

This implies that we calculate the expected value of the function.

So, we have:

\(E(x) = \sum x * P(x)\)

Substitute known values

\(E(x) = 0 * 0.24 + 1 * 0.25 + 2 * 0.19+ 3 * 0.17 + 4 * 0.15\)

Using a calculator, we have:

\(E(x) = 1.74\)

\(E(x) = 2\) --- approximated

La función cosecante de \(\frac{\pi}{8}\) es igual a la inversa de la función seno de \(\frac{\pi}{8}\).

En este caso, una cofunción es una expresión derivada de la función trigonométrica original y en términos de otras funciones trigonométricas. La estrategia más eficiente es determinar la cofunción más simple posible en términos de las funciones seno, coseno o tangente.

Nos valemos de las identidades trigonométricas para determinar la cofunción:

\(\csc \frac{\pi}{8} = \frac{1}{\sin \frac{\pi}{8} }\) (1)

La función cosecante de \(\frac{\pi}{8}\) es igual a la inversa de la función seno de \(\frac{\pi}{8}\).

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Answer:

A. 6+24p

Step-by-step explanation:

=(3)(2+8p)

=(3)(2)+(3)(8p)

=6+24p

=24p+6

Answer:

The ratios are not equal, so this is not a dilation.

Step-by-step explanation:

4/3 is the first ratio

3/4 is the second ratio

Since these ratios are not equal there is not a dilation.

From the information provided, we know that the fisherman has already conducted some experiments and from these events he was able to conclude the probability of catching a fish on his next fishing trip. This is an example of EMPIRICAL PROBABILITY.

This is probability calculated after the event has occured.

ANSWER:

Empirical

Answer:

116 / 45

Step-by-step explanation:

To add fractions with unlike denominators, we need to find their common denominator.

One way to do this is by finding the least common multiple (LCM) of the denominators.

The LCM of 3, 5, 9 and 15 is 45.

We then convert each fraction so that its denominator is 45:

1/3 = 15/45

3/5 = 27/45

7/9 = 35/45

13/15 = 39/45

Now we can add the fractions:

15/45 + 27/45 + 35/45 + 39/45

To simplify, we can add the numerators and keep the common denominator:

(15 + 27 + 35 + 39) / 45

Which gives us:

116 / 45

Therefore, the sum of the fractions 1/3 + 3/5 + 7/9 + 13/15 is, 116 / 45.

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:

Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory

Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.

5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:

Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead

Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:

Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor

Without knowing the value for direct labor, we cannot compute the overhead cost.

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a) The area of the figure is 8842 square feet.

b) The perimeter of the figure is 378 feet.

c) The area of the figure is 23.392 times greater than its perimeter.

Herein we find a picture representing a composite figure formed by two rectangles. The area is the sum of the areas of the two rectangles and the perimeter is the sum of all the sides. Then, we proceed to calculate each case:

Area

A = (51 ft) · (60 ft) + (49 ft) · (118 ft)

A = 8842 ft²

Perimeter

p = 51 ft + 60 ft + 100 ft + 118 ft + 49 ft

p = 378 ft

Lastly, the area to perimeter ratio is equal to:

r = 8842 ft² / 378 ft

r = 23.392

The area of the figure is 23.392 times greater than its perimeter.

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x = 9

solve:

Diagonals bisect eachother

\(\\ \rm\Rrightarrow 2x+13=8x-41\)

\(\\ \rm\Rrightarrow 6x=54\)

\(\\ \rm\Rrightarrow x=54/6\)

\(\\ \rm\Rrightarrow x=9\)

Answer:

ans = 9 degree

Step-by-step explanation:

81 + (4x) + (5x+18) = 180 (The sum of all angles of triangle is 180 degree)

81 + 4x + 5x + 18 = 180

99 + 9x = 180

9x = 180 - 99

9x = 81

x = \(\frac{81}{9}\)

x = 9 degree

Answer:

because ΔMLN ≅ ΔYZX

=> MN = YX = 4

Step-by-step explanation:

Answer:

I think its four

Step-by-step explanation:

Answer:

first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.

So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg

Answer:

A. The teacher conducted an observational study by comparing the performance on the test of those who completed their review worksheets to those who did not complete their review worksheets.

The statement that best describes the method how the teacher likely came to the specified conclusion is: Option A. The teacher conducted an observational study by comparing the performance on the test of those who completed their review worksheets to those who did not complete their review worksheets.

In the case of testing about test scores, teacher can't use random or controlled experiment as the teacher would more likely work with real data of test scores instead of students faking it.

The sample survey is not needed as getting test scores doesn't destroy them, nor the population of students is too high(assuming math class has small number of students (usually under some hundreds) ).

Observational study is best choice here, and this is done on all students by observing how much students achieved in scored in test and relate it with them completing the review worksheets or not.

Thus, the statement that best describes the method how the teacher likely came to the specified conclusion is: Option A. The teacher conducted an observational study by comparing the performance on the test of those who completed their review worksheets to those who did not complete their review worksheets.

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P(8/3) is not equal to zero, we can conclude that 8/3 is not a zero of P(x). Therefore, our suspicion was incorrect.

What is quadratic equation and how to solve it ?

A quadratic equation is a second-degree polynomial equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.

To solve a quadratic equation, there are different methods, such as factoring, completing the square, and using the quadratic formula. The quadratic formula is the most general method and can be used for any quadratic equation.

It states that the solutions to the equation ax^2 + bx + c = 0 are given by the formula

x = (-b ± sqrt(b^2 - 4ac)) / (2a).

We can use this formula to find the roots of the equation by substituting the values of a, b, and c into the formula and simplifying.

To confirm if 8/3 is a zero of the quadratic function P(x) = 3x^2 - 4x - 7, we can substitute 8/3 for x in the equation and check if the resulting expression is equal to zero. If P(8/3) equals zero, then we can confirm that 8/3 is indeed a zero of P(x).

P(8/3) = 3(8/3)^2 - 4(8/3) - 7

= 3(64/9) - 32/3 - 7

= 64/3 - 32/3 - 21/3

= 11/3

Since P(8/3) is not equal to zero, we can conclude that 8/3 is not a zero of P(x). Therefore, our suspicion was incorrect. If we want to find the zeros of P(x), we can use the quadratic formula or factor the equation into (3x + 1)(x - 7) = 0 to get the roots x = -1/3 and x = 7.

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Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 ≤ 0

(x - 6)(x - 6) ≤ 0

(x - 6)² ≤ 0

x - 6 = 0

x = 6

es el único valor que cumple la condición, cualquier otro sera mayor que 0

Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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Answer: 2500

Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500

Answer:

11/8x+1/6

Step-by-step explanation:

Get all into lcd: 12/24x - 16/24 + 21/24x + 20/24

33/24x+1/6 = 11/8x+1/6