The difference between 30 and a number is 4.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

>

Step-by-step explanation:

Negative is that amount below zero. For example -3 is 0 - 3. This means that since -3 is 3 less than 0, -3 < 0. This can also be said as 0 > -3.

Answer:

Answer: 0 (> )-3

Step-by-step explanation:

Hope it helps

The y-coordinate of -3f(x-1) when x = 0 is -63

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

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

\(2<p<6\)

Step-by-step explanation:

If it is less than \(6\), it must have \(p<6\).

If it is greater than \(2\), it must have \(2<p\).

We can combine these inequalities to get \(\boxed{2<p<6}\).

The graph is left as an exercise to the reader.

The equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)

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

5y+4= (x+3)²+12

Swap x and y in the equation

So, we have

5x + 4= (y + 3)² + 12

When we make the vairiable y the subject, we have

y = -3 ± √(5x - 8)

Hence, the equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)

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The height of the wall would be 1/10 m long.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + 5

4x + y

Given is that 4000 cubical blocks having a side 40 cm are required to construct a wall of length 65 m and breadth 40m. The wall has to window of 2.5 m into 1 m and the door of 1.5 m².

Total area covered by the blocks is -

Volume of the wall = (65 x 40 x h) - (2.5 x 1) - 1.5.

40 cm = 40/100 m = 2/5 m

Volume of the cubical blocks = volume of the wall (without windows and doors). So, we can write -

2/5 x 2/5 x 2/5 x 4000 = (65 x 40 x h) - (2.5 x 1) - 1.5

8/125 x 4000 = (65 x 40 x h) - (2.5 x 1) - 1.5

32 x 8 = (65 x 40 x h) - (2.5 x 1) - 1.5

256 + 1.5 + 2.5 = (65 x 40 x h)

260/2600 = h

h = 1/10 m

Therefore, the height of the wall would be 1/10 m long.

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Answer:

  $10,304.54534

Step-by-step explanation:

The compound interest formula is ...

  A = Pe^(rt)

Substituting the given values, we get ...

  A = $10,000·e^(0.03·1) ≈ $10,304.54534

Answer:

The 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

The 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

The 41 week gestation's period baby weighs relatively less.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean  and standard deviation , the z-score of a value X is given by:

The zscore represents how many standard deviations the value of X is above or below the mean .

Find the corresponding z-scores.

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800 grams. A 32-week gestation period baby weighs 2450.

Here, we have .

So

A negative z-score indicates that the value is below the mean.

So, the 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

Babies born after a gestations period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 385 grams. A 41 week gestation period baby weights 2650 grams.

Here, we have

So, the 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

Which baby weighs relatively less?

The 41 week gestation's period baby has a lesser z-score, so this means that he weighs relatively less.

Answer:

it's easy soooooooooooo much

Answer: We can use the fact that the sine function is an odd function, which means that:

sin(-x) = -sin(x)

So, we have:

sin(-15 degrees) = -sin(15 degrees)

We can use the sum and difference identity for sine, which states that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Letting a = 45 degrees and b = 30 degrees, we get:

sin(45 degrees - 30 degrees) = sin(45 degrees)cos(30 degrees) - cos(45 degrees)sin(30 degrees)

We can use the fact that cos(45 degrees) = sin(45 degrees) = √2 / 2 and cos(30 degrees) = √3 / 2 and sin(30 degrees) = 1 / 2 to simplify:

sin(15 degrees) = (√2 / 2)(√3 / 2) - (√2 / 2)(1 / 2)

sin(15 degrees) = (√6 - √2) / 4

Therefore, we have:

sin(-15 degrees) = -sin(15 degrees) = -[(√6 - √2) / 4] = (-√6 + √2) / 4

So the exact value of sin(-15 degrees) is (-√6 + √2) / 4.

Step-by-step explanation:

Answer:4.14

Step-by-step explanation:

Answer:

474

Step-by-step explanation:

took the test on edg

Answer: a

Step-by-step explanation:

x⁴• x⁷

Using the law of indices;

x⁴• x⁷ = x⁴⁺⁷ = x¹¹

Answer:

I am assuming 80.

Step-by-step explanation:

I need a photo of the exact thing

Answer:

Step-by-step explanation:

8 ft it broke into

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer:

The simile would be B. My horse runs as fast as lightning.

Simile uses words like 'like' or 'as' to compare things.

'My horse runs as fast as lightning.'

So the answer is B. Hope this helps!

Answer:

OB) The mode does not change

Answer:

$381

Step-by-step explanation:

9% = 1 year

27% = 3 years

$300 = 100%

After 3 years, we have

100% + 27% = 127%

127% = 1.27

300 tines 1.27 = $381

So, after 3 years has $381

Answer:

87.5%

Step-by-step explanation:

Total parts = 8

Part 6 = 1

Parts not 6 = 7

P(not 6) = 7/8

In %age:

=> 87.5%

Answer:

87.5%

Step-by-step explanation:

The numbers not 6 on the spinner are 2, 3, 4, 5, 7, 8, and 9.

7 numbers out of 8 are not 6.

7/8 = 0.875

P(not 6) = 87.5%

Answer:

Step-by-step explanation:

5(m-3)≥7m-2.4

5m-15≥7m-2.4

2m≤-12.6

m≤-6.1

Answer:

m>6.3

Step-by-step explanation:

Answer:

First, we need to calculate the total amount of the pension for the first offer:

$58,000 x 0.016 x 20 = $18,560 per year

Then, we can calculate the monthly pension payment:

$18,560 / 12 = $1,546.67 per month

For the second offer, we need to calculate the annual pension amount:

$64,900 x 0.013 x 20 = $16,828 per year

And then the monthly pension payment:

$16,828 / 12 = $1,402.33 per month

Finally, we can calculate the difference in monthly pension payments:

$1,546.67 - $1,402.33 = $144.34

Therefore, the difference in monthly pension payments is $144.34.

Answer:

the length of BC is 16

Step-by-step explanation:

Answer:

0.828

hope it helps........

Answer:

-29/35

Step-by-step explanation:

i hope this helps

The sum of these 40 sampled numbers follows option D: normal distribution, if X follows Poisson distribution.

The likelihood that a certain number of events will occur in a specific period of time or space, provided that they do so with a known constant mean rate and the Poisson distribution describes the distribution of events, regardless of the time since the previous event. When the mean is high, the sum of the Poisson distribution resembles a normal distribution.

The "normal distribution," a continuous probability distribution that is symmetrical at the mean and has a bell-shaped curve. It is also known as the bell curve or the Gaussian distribution. Several natural phenomena, including height, weight, blood pressure, and others, have a normal distribution.

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Answer:

X=14

Step-by-step explanation:

Answer:

  D

Step-by-step explanation:

You want to know a procedure to show that sides satisfying the Pythagorean relation will form a right triangle.

The converse of the Pythagorean theorem tells you that side lengths satisfying the relation a² +b² = c² will form a right triangle. In order to show this, we must first have three lengths that satisfy this relation. (Eliminates choices A and C.)

The right angle in a right triangle is the largest angle, so must be opposite the longest side. (Eliminates choice B.)

The only useful procedure for the desired demonstration is that of choice D.

__

Additional comment

The second attachment shows that a side of length 12 is too long for the third side of a triangle with sides 5 and 9 that have a right angle between them. (reference choice A)

The quotient of x³ - 64/x - 4 is (x² + 4x + 16).

The quotient of x⁴ − 256/x − 4 is (x³ + 4x² + 16x + 64).

The quotient of x⁵ - a⁵ /x - a is (x⁴ + ax³ + a²x² + a³x + a⁴).

What is Division method?

Division method is used to distributing a group of things into equal parts.

We have to given that;

The quotient of x² − 16/ x − 4 is x + 4.

Now, We have compute each quotient as;

The quotient of x³ - 64/x - 4 is;

\(\frac{x^{3} - 64}{x-4} = \frac{x^{3} - 4^{3} }{x-4} = \frac{(x-4) (x^{2} +4x+16)}{(x-4)} = (x^{2} +4x+16)\)

Hence, The quotient of x³ - 64/x - 4 is (x² + 4x + 16).

And, The quotient of x⁴ − 256/x − 4 is;

\(\frac{x^4-4^4}{x-4} = \frac{((x^2)^2-(4^2)^2)}{(x-4)} = \frac{(x^{2} -4^4) (x^{2} + 4^2)}{(x-4)} = \frac{(x-4)(x+4)(x^{2} +4^2)}{(x-4)} = (x+4)(x^{2} + 16)\)

\((x+4)(x^{2} + 16) = x^{3} + 4x^{2} +16x + 64\)

Hence, The quotient of x⁴ − 256/x − 4 is (x³ + 4x² + 16x + 64).

The quotient of x⁵ - a⁵ /x - a is;

      _______

x - a )   x⁵ - a⁵   ( x⁴ + ax³ + a²x² + a³x + a⁴

         x⁵ - ax⁴

      -      +

    -------------------

            ax⁴ - a⁵

            ax⁴ - a²x³

         -        +

         -------------------

                 a²x³ - a⁵

                a²x³ - a³x²

              -         +

               -----------------

                        a³x² - a⁵

                        a³x² - a⁴ x

                      -        +

                   --------------------------

                           a⁴ x  - a⁵

                           a⁴ x  - a⁵

                          -        +  

                     -----------------------

                                 0

Hence, The quotient of x⁵ - a⁵ /x - a is (x⁴ + ax³ + a²x² + a³x + a⁴).

Therefore, The quotient of x³ - 64/x - 4 is (x² + 4x + 16).

The quotient of x⁴ − 256/x − 4 is (x³ + 4x² + 16x + 64).

The quotient of x⁵ - a⁵ /x - a is (x⁴ + ax³ + a²x² + a³x + a⁴).

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