Given the graph, description or sequence values create both an explicit and a recursive function 23.

Answer:

47 inches

Step-by-step explanation:

45 + 48 + 49 + 40 + 53 = 235

235/5 = 47

If x∆y = 3x - y², then

5∆1 = 3×5 - 1² = 15 - 1 = 14

and

14∆6 = 3×14 - 6² = 42 - 36 = 6

So (5∆1)∆6 = 6.

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Answer:

given the drawing below what is the difference between angle D and angle B​

Step-by-step explanation:

Answer:

B) 0.01

Step-by-step explanation:

If they want to know which one is very unlikely, you could turn them into percents.

1=100%

0.01=1%

0.9=90%

0=0%

0.6=60%

0.5=50%

0.35=35%

Since 0% is "impossible", not just "very unlikely", I'd go with 1%, which is B) 0.01

This is assuming I'm understanding your question correctly, since it doesn't actually ask a question.

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62  = 192 (OK!)

Answer:

108 degrees.

There is a straight line running from Point A to Point C, so angle X and the 72 degree angle would be supplementary, meaning they add up to 180 degrees. Therefore, if you subtract 72 from 180, you would get the correct answer of 108 degrees. Hope this helped!

Answer:

yes

Step-by-step explanation:

Answer: (√2)(2) = 2√2

Step-by-step explanation:

To simplify the expression 3√2 - √2, you can factor out the common term √2:

3√2 - √2 = (√2)(3 - 1)

Now, subtract the numbers in parentheses:

(3 - 1) = 2

(√2)(2) = 2√2

0.2 × 10 = 2

u can check a calculator

For the function, the x-intercept of g(x) is at (5,0).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

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Answer:

if a water pipe bursts over night depends on the pressure of the water but i will say a foot or more an hour

Step-by-step explanation:

The function that best models this scenario is C of x equals 3.75 times x if x is less than 5 and 3.25x plus 5 if x is greater than 6.

Let the number of hours be illustrated as x. In this situation, local city park rents kayaks for $3.75 per hour. This will be:

= 3.75 × x

= 3.75x

Also, customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. This will be illustrated as:

= 5 + (3.25 × x)

= 5 + 3.25x

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Answer:

5

4

6

.........................

Answer:

\(5x^{2}\)\(+48\\\)

Step-by-step explanation:

You would have to use distributive property and solve. In the end after you subtract you would get 5x^2+48

We can estimate the square root to be between 23 and 24 by hand, and using a calculator we can see that the exact value is 23.388

Let's solve this without using a calculator.

To check this, we can just take integer numbers and square them and see which one gives an outcome equal to or closer to 547.

For example, if we start with 20 we get:

20*20 = 400

Let's go higher, if we take 23:

23*23 = 529

The next one is 24:

24*24 = 576

Then we can estimate:

√529 < √547 < √576

23 < √547 < 24

So our number is between 23 and 24, now using a calculator we can get the exact value:

√547 = 23.388

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\(z = 29°\)

Step-by-step explanation:

According to the triangle angle sum theorem, the sum of the interior angles of a triangle is 180°. So for \(\triangle{ABD},\) the sum of its interior angles is

\(43 + 59 + x = 180\)

\(\Rightarrow x = 78°\)

But \(\angle{x}\) is supplementary with \(\angle{y}\) so that

\(x + y = 180 \Rightarrow y = 180 - 78 = 102°\)

Now that we know the value of y, we apply the triangle angle sum theorem to \(\triangle{BDC}\) and we get

\(49 + y + z = 180 \Rightarrow 49 + 102 + z = 180\)

Solving for z, we finally get

\(z = 29°\)

Answer:

-40

Step-by-step explanation:

So what this question is basically saying is that you have to multiply -4 by -2 first to get 8 and then you multiply that by -5 hence getting the answer of -40

First, let's find Maura's running speed by using the information that Carlos runs at a rate that is 25% slower than Maura's rate. If Carlos runs at a rate of 6 miles per hour, then Maura runs at a rate of 6 * 1.25 = 7.5 miles per hour.

Next, let's calculate how long it takes for Carlos to finish the marathon. We know that Carlos runs at a rate of 6 miles per hour and the marathon is 26 miles long. So we can use the formula:

time = distance/rate

time = 26/6

time = 4.33 hours

Now let's find how long it takes for Maura to finish the marathon. We know that Maura runs at a rate of 7.5 miles per hour and the marathon is 26 miles long. So we can use the formula again:

time = 26/7.5

time = 3.47 hours

Finally, let's convert Jacob's time of 2 hours and 36 minutes to hours. We can use the formula:

time = 2 + (36/60)

time = 2 + 0.6

time = 2.6 hours

In conclusion, Carlos takes 4.33 hours, Maura takes 3.47 hours and Jacob takes 2.6 hours to finish the marathon.

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Answer:

Huh? Is this like a real question?

Answer:

\(4x^2 - 9x - 5 = 0\)

Step-by-step explanation:

To place the equation in standard form, we expand the operations. So

\(4(x-1)^2 = x + 9\)

\(4(x^2-2x+1) = x + 9\)

\(4x^2 - 8x + 4 - x - 9 = 0\)

Combining the like terms:

\(4x^2 - 9x - 5 = 0\)

Answer:

the two numbers are 16 and -25

Step-by-step explanation:

Let the two numbers be x and y

x+y=-9

x-y=-41

By substitution

y=-9-x

x-(-9-x)=-41

x+9+x=-41

2x=-41-9

2x=-50

x=-25

y=-9-(-25)

y=16

Answer:

Estimations of π/4:

100 points: 0.75

1,000 points: 0.768

10,000 points: 0.7819

Step-by-step explanation:

To get an estimate of π/4 you can place random points in the square [0, 1] × [0, 1] and estimate it as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4).

We do it for 100 xy points and we get:

Point inside the circle area = 75

Estimation of π/4 = 0.75

\(\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{75}{100}=0.75\)

We do it for 1,000 xy points and we get:

Point inside the circle area = 768

Estimation of π/4 = 0.768

\(\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{768}{1000}=0.768\)

If we do it fo 10,000 xy points, we get

Point inside the circle area = 768

Estimation of π/4 = 0.768

\(\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{7819}{10000}=0.7819\)

The value of π/4 (4 decimals) is 0.7854.

The simulation gets more precise with the increase in the number of points.

The spreadsheet and the graphs are attached.

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

Answer:

1) 2 seconds

2) 70 feet

Step-by-step explanation:

we have the formula h = -16x² + 64x + 6

where h = height of ball and x = time in seconds

for 1 , we want to find how long it will take the ball to reach its maximum height.

if we want to find how long it will take to reach its maximum height , then we want to find the x value of vertex ( vertex = peak point and in this situation represents the maximum height and time )  as x = time in this scenario.

the x value of the vertex can be calculated using the formula x = -b/2a

where a and b derive from the formula put in quadratic form ax² + bx + c

so we have -16x² + 64x + 6 , 16 takes the spot of a so a = -16 and 64 takes the spot of b so b = 64

x = -b/2a

b = -16 and a = 64

hence, x = -(64)/2(-16)

==> remove parenthesis

x = -64/2(-16)

==> multiply 2 and -16

x = -64/-32

==> divide -64 by -32

x = 2

The x value of the vertex is two meaning it will take two second for the ball to reach its maximum height.

For 2) we want to find how high the ball will be when it reaches its maximum height

In other words we want to find the y value of the vertex as y = height of ball and we want to find the height of the ball at its maximum height which is at the vertex.

to find the y value of the vertex we simply plug in the x value into the equation and evaluate

we have -16x² + 64x + 6 and the x value of the vertex is 2

so we get -16(2)² + 64(2) + 6

==> evaluate exponent

y = -16(4) + 64(2) + 6

==> multiply -16 and 4

y = -64 + 64(2) + 6

==> the -64 cancels out the x2 in 64(2)

y = 64 + 6

==> add 64 and 6

y = 70

The y value of the vertex is 70 meaning the ball was at 70 feet at its maximum height

For more validation check the attatched image

Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

a.

Step-by-step explanation:

The p-value is a measurement of the likelihood that a difference observed is due to a random chance or a sampling error. In an alternative way, the p-value of a study represents the probability or area under distribution for obtaining more radical outcomes whenever the null hypothesis is true.

Any observable change is deemed to be addressed by sampling variability if the P-value is greater than the selected alpha level. A statistical test will nearly always show a substantial difference with a suitably big sample unless there is no impact at all when the effect size is exactly zero.

As a result, simply reporting the P-value alone for a study is insufficient to fully validate the results and findings of scientific publications.