) The height h(t) in feet of a model rocket above the ground t seconds after
lift-off is given by h(t) = −t
2 +30t, for 0 ≤ t ≤ 30. When does the rocket reach its
maximum height above the ground? What is its maximum height?

Answer:

last one is the answer brother

The dimensions of the original photo is: X = 11

A dimension can be defined as the parameters, measurement, scale  or size of an object or figure.

A dimension is so important as is gives us a visual representation of an object.

(x-3[tex])^{2}[/tex] = 64

(x-3) = [tex]\sqrt{64}[/tex]

x = 8 + 3

x = 11

In conclusion, The dimensions of the original photo is: X = 11

Learn more about Dimensions : https://brainly.com/question/26740257

#SPJ1

The total cost of 400 square feet of land if it sells for $110 per square foot is $ 44,000.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Here, Total area = 400 sq. units

          Cost per square foot = $ 110

  Total Cost = Total area X Cost per unit area

     TC = 400 X 110

      TC = 44,000

Thus, the total cost of 400 square feet of land if it sells for $110 per square foot is $ 44,000.

Learn more about Area from:

https://brainly.com/question/27683633

#SPJ1

Answer:

  d

Step-by-step explanation:

The answer is 1.29029.

       [tex]log_{5}8=log(8)/log(5)[/tex]

       As we know, [tex]log8=0.9030899[/tex] and [tex]log(5)=0.69897000[/tex]

     So equating is the above equation, we get;

     [tex]log_{5}8=0.9030899/0.6989700[/tex]

    [tex]log_{5}8=1.292029[/tex]

Hence, The answer of [tex]log_{5}8[/tex] is [tex]1.29029[/tex].

To learn more about the log, refer:

https://brainly.com/question/1695836

The minimum number of sides that the polygon at the base of the prism must has 4 sides.

This refers to the plane figure in geometry that has three or more sides and angles in a finite straight line.

As we know the minimum number of sides a polygon does the base of the polygon have 4 side.

Now, as the plane intersect a prism parallel to base of the prism so the polygon of 5 sides will form then at least the base of the polygon will have 4 sides.

Learn more about polygons here:

brainly.com/question/1592456

#SPJ1

The amount of the interest with simple interest of 6.9% will be $ 10.35.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Miguel Rodriguez borrowed ​$300 from his brother Julio to pay for books and tuition.

He agreed to pay Julio in 6 months with simple annual interest at ​6.9%

Then the amount of the interest will be

Amount = P x R x T / 100

We have

P = $ 300

R = 6.9%

T = 6 months = 0.5 years

Then we have

P = (300 x 6.9 x 0.5) / 100

P = $ 10.35

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ1

Answer:

it's 0 I think ok hope this helped stay safe

Answer:

105

Step-by-step explanation:

Consecutive interior angles need to add up to 180 degrees.

Therefore, 180 - 75 = 105

Answer:

105°

Consecutive interior angles are always supplementary, they add upto 180°

.

.

Angle A = 75°

Angle B = 180 - 75 = 105°

Step-by-step explanation:

I hope it helps u dear ^_^

The value of the expression 7xy-y+x-1, when x = -2 and y = -1 is 12.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

To evaluate the given mathematical expression, we substitute the values of the unknown into the expression.

Substitute these values into the expression

Therefore,

Applying BODMAS,

Hence, the evaluation of  7xy-y+x-1 is 12

Learn more about evaluation here: https://brainly.com/question/4344214

#SPJ1

Answer: HL

Step-by-step explanation:

If the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent. The correct option is D, HL.

According to the HL theorem, If the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent. therefore, the hypotenuse will be congruent to each other, and the corresponding sides will be congruent to each other.

In the two of the given triangle, ΔPQR and ΔSTU, the following things can be seen,

PR ≅ SU (Leg of the triangle)

RQ ≅ TU (Hypotenuse)

Also, since the two of the triangles are right angle triangle, and the length of the one leg of the two triangles is equal, also, the hypotenuse of the two triangle is equal. Therefore, Using the HL postulate. The two triangles can be said to be congruent.

Hence, the triangle congruence criterion can be used to prove that PQR and STU are congruent is HL Congruency.

Learn more about HL theorem:

https://brainly.com/question/11804042

#SPJ5

The best method of solving two-step equation is "Apply the multiplication property of equality first, and then apply the addition property of equality to isolate the variable"

For instance:

40 = 5(x) - 5

40 = 5x - 5

40 + 5 = 5x

45 = 5x

x = 45/5

x = 9

Therefore, the correct answer is "Apply the multiplication property of equality first, and then apply the addition property of equality to isolate the variable".

Learn more about equation:

https://brainly.com/question/1214333

#SPJ1

prefix kilo means 1000

so 1 kilogram = 1000 grams

14 kilograms = 14000 grams

14000 g > 1600 g

Maria's suitcase has a greater mass because 14,000 grams is greater than 1,600 grams.

Answer:

i wish i knew

Step-by-step explanation:

Suppose that a sample is taken from a population whose mean value is 45,   the sample mean will approach

[tex]\mu=45[/tex]

Generally, the equation for the standard deviation is mathematically given as

Standard deviation sample mean  [tex]\mu = \frac{\sigma}{\sqrt{n}}[/tex]

Therefore, where a population whose mean value is 45 for any sample

size, Hence mean of the sample mean is

[tex]\mu = \=x[/tex]

[tex]\mu=45[/tex]

In conclusion, the value the sample mean approach is

[tex]\mu=45[/tex]

Read more about the sample mean

https://brainly.com/question/14127076

#SPJ1

The solution to the equations are:

The equation is given as:

9x² - 36x + 36 = 0

The above equation is a quadratic equation which can be represented as:

ax² + bx + c = 0

The discriminant (d) is calculated as:

d = b² - 4ac

So, we have:

d = (-36)² - 4 * 9 * 36

d = 0

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

The equation is given as:

x² - x + 4 = 0

The above equation can be represented as:

ax² + bx + c = 0

The discriminant (d) is calculated as:

d = b² - 4ac

So, we have:

d = (-1)² - 4 * 1 * 4

d = -15

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

We have:

4x² + 23 – 35

Evaluate the difference

4x² -12

Factor out 4

4(x² -3)

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

https://brainly.com/question/10449635

#SPJ1

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-2)}}} \implies \cfrac{-2}{5 +2} \implies \cfrac{ -2 }{ 7 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{2}{7}}(x-\stackrel{x_1}{(-2)}) \implies y-4=-\cfrac{2}{7}(x+2) \\\\\\ y-4=-\cfrac{2}{7}x-\cfrac{4}{7}\implies y=-\cfrac{2}{7}x-\cfrac{4}{7}+4\implies y=-\cfrac{2}{7}x+\cfrac{26}{7}[/tex]

Answer:x ≤ 3

Step-by-step explanation:

(14.5x − 5(x + 2) ≤ 4 + 4(4 − 1/8x)
14.5x - 5x-10 ≤ 4 + 16 - 1/2x Get rid of the parenthesis

9.5x-10 ≤ 20-1/2x Combine like terms

10x - 10 ≤ 20

10x/10 ≤ 30/10

x ≤ 3

Answer:

Given:

[tex]\displaystyle \int\limits_{1}^{3} x^2 \:dx[/tex]

Trapezium Rule

[tex]\displaystyle \int\limits_{a}^{b} y \:dx \approx \dfrac{1}{2}h\left[(y_0+y_n)+2(y_1+y_2+...+y_{n-1})\right] \quad \textsf{where }h=\dfrac{b-a}{n}[/tex]

Calculate the width of each strip (h).

Given:

[tex]\implies h=\dfrac{3-1}{5}=0.4[/tex]

Create a table with the x and y values:

[tex]\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & 1 & 1.4 & 1.8 & 2.2 & 2.6 & 3\\\cline{1-7} y & 1 & 1.96 & 3.24 & 4.84 & 6.76 & 9\\\cline{1-7}\end{array}[/tex]

Put all the values into the formula:

[tex]\begin{aligned}\displaystyle \int\limits_{1}^{3} x^2 \:dx & \approx \dfrac{1}{2}(0.4)\left[(1+9)+2(1.96+3.24+4.84+6.76)\right]\\& = 0.2\left[10+2(16.8)\right]\\\\& = 0.2\left[10+33.6\right]\\\\& = 0.2\left[43.6\right]\\\\& = 8.72 \end{aligned}[/tex]

[tex]\begin{aligned}\displaystyle \int\limits_{1}^{3} x^2 \:dx &=\left[\dfrac{1}{3}x^3\right]^3_1\\& = \dfrac{1}{3}(3)^3-\dfrac{1}{3}(1)^3\\& = 9-\dfrac{1}{3}\\& = \dfrac{26}{3}\end{aligned}[/tex]

The exact area as a decimal is [tex]\sf 8.\dot{6}[/tex].  Therefore, the estimated answer of 8.72 is an overestimate.

Answer to (a) = 8.72

To find the maximum possible error:

Therefore, the maximum possible error for 8.72 is 0.005.

Trapezoid Error formula

[tex]|E| \leq \dfrac{(b-a)^3}{12n^2}\left[\textsf{max}|f''(x)|\right],\quad a \leq x \leq b[/tex]

Calculate the second derivative:

[tex]f(x)=x^2[/tex]

[tex]f'(x)=2x[/tex]

[tex]f''(x)=2[/tex]

Input the values into the formula:

[tex]\implies |E| \leq \dfrac{(3-1)^3}{12n^2}(2) < 0.001[/tex]

[tex]\implies 16 \leq 0.012n^2[/tex]

[tex]\implies 36.5148...\leq n[/tex]

[tex]\implies 37\leq n[/tex]

Answer:

[tex]\boxed{ \sf x=\dfrac{4\pm\sqrt{43}}{2}}[/tex]

Explanation:

[tex]\rightarrow \sf \dfrac{1}{x-5}+\dfrac{3}{x+2}=4[/tex]

make the denominators same

[tex]\rightarrow \sf \dfrac{1(x+2)}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x+2)(x-5)}=4[/tex]

join the fractions together

[tex]\rightarrow \sf \dfrac{x+2+3x-15}{(x-5)(x+2)}=4[/tex]

cross multiply

[tex]\rightarrow \sf x+2+3x-15=4(x-5)(x+2)[/tex]

simplify

[tex]\rightarrow \sf 4x-13=4x^2-12x-40[/tex]

group the variables

[tex]\rightarrow \sf 4x^2-16x-27 = 0[/tex]

use quadratic formula

[tex]\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}[/tex]

simplify the following

[tex]\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}[/tex]

Answer:

[tex]x=\dfrac{4 \pm \sqrt{43}}{2}[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{1}{(x-5)}+\dfrac{3}{(x+2)}=4[/tex]

Make the denominators of the algebraic fractions the same, then combine them into one fraction:

[tex]\begin{aligned}\implies \dfrac{1}{(x-5)} \cdot \dfrac{(x+2)}{(x+2)}+\dfrac{3}{(x+2)}\cdot \dfrac{(x-5)}{(x-5)} & =4\\\\\implies \dfrac{x+2}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x-5)(x+2)} & = 4\\\\ \implies \dfrac{x+2+3(x-5)}{(x-5)(x+2)} & = 4\\\\ \implies \dfrac{4x-13}{(x-5)(x+2)} & = 4 \end{aligned}[/tex]

Multiply both sides of the equation by [tex](x-5)(x+2)[/tex]:

[tex]\begin{aligned}\implies \dfrac{(4x-13)}{(x-5)(x+2)}\cdot (x-5)(x+2) & = 4(x-5)(x+2)\\\\\dfrac{(4x-13)(x-5)(x+2)}{(x-5)(x+2)} & = 4(x-5)(x+2)\\\\4x-13 & = 4(x-5)(x+2)\\\\4x-13 & =4x^2-12x-40\\\\4x^2-16x-27 & = 0\end{aligned}[/tex]

Solve using the Quadratic Formula:

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\implies a=4\\\implies b=-16\\\implies c=-27[/tex]

Therefore:

[tex]\implies x=\dfrac{-(-16) \pm \sqrt{(-16)^2-4(4)(-27)} }{2(4)}[/tex]

[tex]\implies x=\dfrac{16 \pm \sqrt{688}}{8}[/tex]

[tex]\implies x=\dfrac{16 \pm 4 \sqrt{43}}{8}[/tex]

[tex]\implies x=\dfrac{4 \pm \sqrt{43}}{2}[/tex]

By using the pythagoras theorum you can find an unknown leg of right angled triangle.

Hypotenuse side is in the front of the 90 degree angle and other two sides can be taken as base and perpendicular, so formula goes as :-

(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2

H^2 = B^2 + P^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

see the attachment photo!

The probability that a person older than 35 years has a hemoglobin level less than 9 is 0.47.

The probability that a person younger than 25 years has a hemoglobin level above 11 is 0 .50

the probability that a person in the 25-35 age group has a hemoglobin

level less than 9 is 0.25.

The probability that a person older than 35 years has a hemoglobin level between 9 and 11 is 0.28.

The probability that a person older than 35 years has a hemoglobin level less than 9 = number of people order than 35 that have a hemoglobin level less than 9 / total number of people over 35

= 76 / 167 = 0.47

The probability that a person younger than 25 years has a haemoglobin level above 11 = people over 25 that have a haemoglobin level above 11 / total number of people above 25

69/139 = 0 .50

The probability that a person in the 25-35 age group has a hemoglobin

level less than 9 = people between 25 - 35 that have a haemoglobin level less than 9 / total number of people between 25 - 35

=  32/128  = 0.25

The probability that a person older than 35 years has a hemoglobin level between 9 and 11=  number of people order than 35 that have a hemoglobin level 9 - 11 / total number of people over 35

46 / 162 = 0.28

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Answer:

3660

Step-by-step explanation:

'milli..' in the metric system means 1000 th

 there are 1000 milliliters in a liter

   3.66 liters *  1000 ml/liter = 3660 ml

Given the FDIC insurance limit, the amount that Gordon would get back is $200,000.

The Federal Deposit  Insurance Corporation (FDIC) was established after the great depression with the aim of insuring the deposits of customers in banks.

If the limit on insurance is $250,000, depositors with $250,000 or less would get the full amount of their deposits in case of bank failure. If the deposit is greater than $250,000, they would get $250,000.

To learn more about the FDIC, please check: https://brainly.com/question/827771

#SPJ1

Answer:

3.361     3.361     3.361  cm

Step-by-step explanation:

Minimum surface are will be a cube

LWH = 38

L = cubrt (38) = 3.361   side length    cm

Answer:

56%

Step-by-step explanation:

i think your missing some info.

Answer:

I think 34.

Step-by-step explanation:

It's because, 34 can be a positive integer. Decimals can also be integers, but, this one looks a better option. While, the

O

0 0

O

don't seem to be integers.

¹T¹h¹a¹n¹k¹s¹