HELP^^ LOOK AT THE PICTURE. this is algebra in & out tables ?

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume =  total volume - the volume on top

so,

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

finally: get the bottom volume:

bottom volume =  total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

             = 15,872 mm³

therefore,

the volume of the cut  pyramid base = 15,872 mm³

Answer:

15,872 mm³

Step-by-step explanation:

bottom volume =  total volume - the volume on top

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

bot. vol = 16,384 mm³ - 512 mm³  = 15,872 mm³

Answer:

$4,168.50

Step-by-step explanation:

Knowing that the price offered is $4,125, it was deducted by $350, and there is a 6% sale tax.

$4,125 -$350= $3,775

$3,775(1.06)= $4,001.50

$4,001.50 +$167= $4,168.50

The scatter plot shows positive correlation because as the plotted values of x increase, the values of y generally increase.

In Mathematics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Therefore, when one variable increases, the other variable generally increases, as well.

By critically observing the scatter plot, we can reasonably infer and logically deduce that there is a positive correlation between the x-values and y-values because they both increase simultaneously.

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Answer: 0.1587

Step-by-step explanation:

Given : The weight load on an airplane pallet is normally distributed with a mean of 250 pounds and a standard deviation of 40 pounds.

i.e. \(\mu = 250\) pounds

\(\sigma=40\) pounds

Let x be the weight load on an airplane pallet.

Then, the probability that a randomly selected pallet will support more than 290 pounds will be :-

\(P(X>290)=P(\dfrac{X-\mu}{\sigma}>\dfrac{290-250}{40})\\\\=P(Z>1)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1)\\\\=1-0.8413\ \ \ \ [\text{by z-table}]\\\\=0.1587\)

Hence, the required probability is 0.1587 .

9514 1404 393

Answer:

  a) base: 29.4377 cm

  b) hypotenuse: 30.7827 cm

  c) area: 132.470 cm²

  d) perimeter: 69.2204 cm

Step-by-step explanation:

a) The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

  tan(17°) = (9 cm)/base

  base = (9 cm)/tan(17°) = 29.4377 cm

__

b) The sine relation could be used in the same way to find the hypotenuse:

  hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm

However, we're instructed to use the Pythagorean theorem. So, we have ...

  hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm

__

c) The area is half the product of the base and height:

  A = 1/2bh

  A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²

__

d) The perimeter is the sum of side lengths:

  P = base + hypotenuse + height

  P = (29.4377 +30.7827 +9) cm = 69.2204 cm

The area of the circle is approximately 78.5 square meters.

To determine the area of a figure, we need to know what type of figure it is and what its dimensions are. The formulas for finding the areas of different types of figures are as follows:

Rectangles: Area = length x widthSquares: Area = side x sideTriangles: Area = 1/2(base x height)

Circles: Area = πr² (where π is pi and r is the radius)Problem 1:Let's say we have a rectangle with a length of 6 cm and a width of 4 cm.

To find its area, we use the formula Area = length x width. Substituting in our values,

we get:Area = 6 cm x 4 cm = 24 cm²Therefore, the area of the rectangle is 24 square centimeters.Problem 2:Next, let's look at a circle with a radius of 5 meters.

To find its area, we use the formula Area = πr². Substituting in our values, we get:Area = π(5 m)² = π(25 m²) ≈ 78.5 m²

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Answer:

the polygon is a trapezoid

Step-by-step explanation:

(1, −1), (4, −1), the two points having the same y coordinate they make a horizontal line

(−1, −3), (7, −3) the two points having the same y coordinate they make another horizontal line

All horizontal lines are parallel.

The shape is a trapezoid because it has one pair of parallel lines.

Answer:

Decimal Form:

1.5

Mixed Number Form:

1 1/2

Step-by-step explanation:

Answer:

Dhshshshhshsjehsjsjjsjssjsjsjsjsjsjjshhdhddhhdjdjddjdjjhdhdkdhjsdfggdhjjjjd

Step-by-step explanation:

Answer:

3498

Step-by-step explanation:

The graph that does not show a valid probability distribution is option A.

Probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events. In order to determine if a probability distribution is valid, there are two criteria that must be checked. First determine whether each probability is greater than or equal to 0 and less than or equal to 1. Secondly, determine whether the sum of all of the probabilities equals 1. If both the conditions are true, then the probability distribution is valid, otherwise, the probability distribution is not valid. Based on the provided graphs, the first condition is met for all but the second condition is untrue for option A as the sum of probability is less than 1. Hence it is not a valid probability distribution.

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Answer:

m<1 = 150°

Step-by-step explanation:

Given:

m<1 = (4x + 50)°

m<2 = (7x - 25)°

Required:

m<1

Solution:

To find m<1, we need to create an equation that will enable us determine the value of x.

Thus,

4x + 50 = 7x - 25 => corresponding angles are congruent to each other

4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)

-3x + 50 = - 25

-3x + 50 - 50 = -25 - 50 (substraction property of equality)

-3x = -75

-3x/-3 = -75/-3 (division property of equality)

x = 25

✅m<1 = (4x + 50)°

Plug in the value of x

m<1 = 4*25 + 50 = 100 + 50

m<1 = 150°

According to the given information, the value of the surface integral is 8/3.

The space occupied by a two-dimensional flat surface is called the area. It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface integral of a vector field F over a surface S is given by:

∬S F ⋅ dS = ∬R (F ⋅ ru × rv) dA

where R is the parameter domain of the surface S, ru and rv are the partial derivatives of the position vector r(u,v) with respect to u and v, and dA = ||ru × rv|| dudv is the area element on the surface.

In this case, we want to evaluate the surface integral:

∫∫H 4y dA

where H is the helicoid given by the vector parametric equation:

r(u,v) = <u cos(v), u sin(v), v>, 0 ≤ u ≤ 1, 0 ≤ v ≤ 9π.

The position vector r(u,v) has partial derivatives with respect to u and v given by:

ru = <cos(v), sin(v), 0>

rv = <-u sin(v), u cos(v), 1>

The area element is given by:

dA = ||ru × rv|| dudv = ||<cos(v), sin(v), u>| dudv = u dudv

Therefore, the surface integral can be written as:

\($\int\int_H 4y dA = \int_0^{9\pi} \int_0^1 4(u\sin v)u dudv$\\$= \int_0^{9\pi} \sin v \int_0^1 4u^2 du dv$\)

\($= \int_0^{9\pi} \sin v \left(\frac{4}{3}\right) dv$\\$= \left[-\frac{4}{3} \cos v\right]_0^{9\pi}$\)

= 8/3

Hence, According to the given information the value of the surface integral is 8/3.

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Answer: 3/8

Step-by-step explanation:

1/2 is also 4/8 so you subtract 4/8 from 7/8 to get 3/8

Answer:*

Step-by-step explanation:

John William is entitled to purchase 15,000 shares before the offering is made to the public.

a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.

John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.

To convert this proportion to a percentage, we multiply by 100:

Percentage of the total vote = 0.3 * 100 = 30%

Thus, John William will control 30% of the total vote at the.         shareholder meeting.    

b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.

John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.

If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:

Entitlement = (3/10) * 50,000 = 15,000 shares.

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4(x+2)+20

4x+8+20

4x+28

I'm confused

Sorry if it is wrong

Answer: The answer is B alpha

Step-by-step explanation:

Answer:

7x + 7y = 7(x+y)

Step-by-step explanation:

Factor out 7 from the expression.

Answer:

Step-by-step explanation:

Each hour, Jim does 1/3 of the job if working alone.

Each hour, John does 1/5 of the job if working alone.

Let x = number of hours to do the job if they work together.  So, each hour, they do 1/x of the job when they work together.

We get the equation:  1/3 + 1/5 = 1/x

Multiply the equation by the LCD, 15x:   5x + 3x = 15

                                                                             8x = 15

                                                                               x = 15/8 = 1 7/8 hrs

ANSWER:  (C).  

Answer:

5x+15+2x=24+4x

Step-by-step explanation:

I hope this helps

Answer:

(1,-2)

Step-by-step explanation:

P(-1,2) and (x, y) -> (x + 2, y - 4). Plugging in x and y in the transformation, the transformed points are (-1+2, 2-4) = (1,-2)

The statements can be arranged correctly as follows:

1. Word Form shows a number written in words.

2. Standard form shows a number written using digits.

3.  Digit is one of the numerals from 0 to 9

4. Place value the position of a digit in a number, which determines its value.

5.  Period each three-digit part of a whole number, separated by commas

6. Expanded form shows a number written as an addition statement

We can determine the terms by first understanding the mathematical meanings. Word form is a term used in math to denote expressions written in word B.

Also, the standard form is a way of shortening large numerical values using digits. Digits are single numbers that run between 0 to 9 and they make up the higher values of numbers.

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Answer:

The answer is 1/6.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

OPTION A

For visual help, draw a right triangle with an acute angle of 46°:

Since the sum of the internal angles of a triangle is 180°, then:

since 46+90=136, then:

Therefore, the other acute angle has a measure of 44°.

The student may have forgot to include the angle of 90° into account, thinking that the remaining angle should add up to 180° with the 46° angle, without adding the 90° from the third angle.

Let's see

LHS

Keep it stay

RHS

Use distributive law

Hence proved

Answer:

13.

Step-by-step explanation:

a) The customs duty on the car would be $1,350,000.

b) The imported price of the bus would be $858,000.

(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:

Customs duty = $3,000,000 * 0.45 = $1,350,000.

(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:

Customs duty = $1,560,000 * 0.45.

Solving for the customs duty:

Customs duty = $702,000.

Now, we can subtract the customs duty from the total amount to find the imported price:

Imported price = $1,560,000 - $702,000 = $858,000.

In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.

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The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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