determine the value of x

Answer: Initial height before launch

Step-by-step explanation:

Given

The equation [tex]y=-9.8t+109.7t+7.4[/tex]  the height of toy rocket after t sec

when the rocket is launched, time is [tex]t=0[/tex]

Substituting 0 for [tex]t[/tex] in the equation

[tex]\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4[/tex]

Here, [tex]7.4[/tex] represents that rocket is already at a height of [tex]7.4[/tex] m before the launch.

Answer:

36:45

Step-by-step explanation:

$81. u add the ratios 4+5=9

$81/9=9

9*4=36

9*5=45

Answer:

Yes, 100/2 is a rational number.

Answer:

its a rational number because its written as a fraction

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

9514 1404 393

Answer:

  a) 540°

  b) 720°

  c) 900°

  d) 1440°

Step-by-step explanation:

The total measure of internal angles of a convex polygon is given by the formula ...

  sum of angles = 180°(n -2) . . . . for an n-sided polygon

So, you count the sides, subtract 2, and multiply that result by 180°.

__

a) 180°(5 -2) = 540°

b) 180°(6 -2) = 720°

c) 180°(7 -2) = 900°

d) 180°(10 -2) = 1440°

Answer:

She will need 21.3 total wire.

Answer:

21.26 ft

Step-by-step explanation:

For calculating, you need to use the Pythagorean theorem:

length of one cable = [tex]\sqrt{7^2+8^2}[/tex]= 10,63 ft

length of two cable = 10,63*2 = 21,26 ft

Answer:

400 miles per hour

Step-by-step explanation:

8000 miles         ÷  20   =        400   Miles

20 hours            ÷  20     =         1     hour

Answer:

Total surface area=728cm^2

Volume of pyramid=1241.33 cm^3

Step-by-step explanation:

Given data

Square base= 14cm

Height= 19cm

Slant height = 21cm

Area of all four triangular surfaces= 1/2B*H*4

Area of all four triangular surfaces= 1/2*14*19*4

Area of all four triangular surfaces= 1/2*1064

Area of all four triangular surfaces=532 cm^2

Area of square base= 14^2

Area of square base=196cm^2

Total surface area= Area of all four triangular surfaces+Area of square base

Total surface area=532+196

Total surface area=728cm^2

Volume of pyramid= a^2h/3

Volume of pyramid= 14^2*19/3

Volume of pyramid= 196*19/3

Volume of pyramid=3724/3

Volume of pyramid=1241.33 cm^3

Answer:

subject

Step-by-step explanation:

subject is a noun (person, place or thing)

verb is doing something *example: running

object is a thing *example: apple

conjunction is a word used to connect sentences *example: but

Answer:

I think it is the 5th one if im wrong i am sorry

Step-by-step explanation:

Answer:

E.

Step-by-step explanation:

Answer:

because she wants to reduce from the amount of it amd wants to use it much so she would have blue is not that much!

I don't know exactly but that is my suggestion

Answer:

The answer would be 3/8.

Step-by-step explanation:

[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]

Answer:

No

Step-by-step explanation:

[tex]7x-4y>-4[/tex]

[tex]7(-9)-4(7)>-4[/tex]

[tex](-63)-(28)>-4[/tex]

[tex](-91)>-4[/tex]

[tex](-9,7)[/tex] is not a solution to the system of inequality

Answer:

C.

Step-by-step explanation:

hope this helps

Answer:

C

Step-by-step explanation:

C shows it being anything below six, and if x is less than six this is the correct answer.

Answer:

[tex](a)\ t^2 - 20t + 75= 0[/tex]

[tex](b)[/tex] [tex]t = 5; t -=15[/tex]

Step-by-step explanation:

Given

[tex]p(t) = t^2 - 20t + 175[/tex]

Solving (a): Equation when profit = 100.

This implies that:

[tex]p(t) =100[/tex]

So, we have:

[tex]100 = t^2 - 20t + 175[/tex]

Rewrite as:

[tex]t^2 - 20t + 175 - 100 = 0[/tex]

[tex]t^2 - 20t + 75= 0[/tex]

Solving (b): Calculate t, in (a)

In a, we have:

[tex]t^2 - 20t + 75= 0[/tex]

Expand

[tex]t^2 - 15t -5t + 75= 0[/tex]

Factorize

[tex]t(t - 15) -5(t - 15)= 0[/tex]

Factor out t - 15

[tex](t - 5)(t - 15)= 0[/tex]

Split

[tex]t - 5 = 0; t - 15 =0[/tex]

Solve

[tex]t = 5; t -=15[/tex]

The prices are $5 and $15, respectively

We should multiply the expression by (9+√14) fraction.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.

The denominator is 9-√14 and its conjugate is; (9+√14).

(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)

                       =  (5-√7)(9+√14)/(9²-14)

                      = (45 + 5√14 - 9√7 - √98)/(81-14)

                       =  (45 + 5√14 - 9√7 - √98)/67

                       = (45 + 5√14 - 9√7 - 7√2)67

This is the rationalized expression.  

The denominator is (9-√14) and its conjugate is (9+√14).

Learn more about multiplications;

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Given:

The graph of an inequality.

To find:

The inequality in slope intercept form.

Solution:

The slope intercept form is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))[/tex]

[tex]y=\dfrac{-3}{3}(x+3)[/tex]

[tex]y=-1(x+3)[/tex]

[tex]y=-x-3[/tex]

From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".

[tex]y\geq -x-3[/tex]

Therefore, the required inequality is [tex]y\geq -x-3[/tex].

Answer: x = 46

Step-by-step explanation: 20 + (5 + 7) = x - 14, 20 + (12) = x - 14

Answer:

[tex]x=46[/tex]

Step-by-step explanation:

[tex]20 + (5+7)=x-14[/tex]

[tex]20+12=x-14[/tex]

[tex]32=x-14[/tex]

Take [tex]x-14[/tex] on the other side of the 'equal to' sign and 32 on the other side so that the variable remains on the right side

[tex]x-14=32\\[/tex]

[tex]x=32+14[/tex]

[tex]x=46[/tex]

Answer:

6 cm

Step-by-step explanation:

To find the range take the largest number and subtract the smallest number

The largest number is 141 and the smallest number is 135

141 - 135 = 6 cm

Answer:

2h3-r5

Step-by-step explanation:

first 3-2=5

then 2h3-r=2h3-r5

finally 2h3-r5

Answer:

3.28653¯V7h

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

4^4^4 = 4^(4^4) = 4^256

so written in base 4, there will be 256 zeroes after a 1.

This translates to approximately 154 digits in decimal.

Just like 2^2^2 =  2^4

there will be four zeroes after a 1.

2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).

The value of x that makes ABCD a parallelogram is C. x = 70°.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal.

It is already given.

Also, adjacent angles of a parallelogram is equal to 180°.

So,

x + 40 + 70 = 180

x + 110 = 180

x = 180 - 110

x = 70

Hence the correct option is C. x = 70°.

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Answer:

6 cm

Step-by-step explanation:

Given :

base is 9cm, Height is 4cm, and Length is 12cm.

Volume of triangular prism :

V = 1/2 * base * height * length

V = 1/2 * 9 * 4 * 12

V = 9 * 2 * 12

V = 216 cm³

Volume of a cube = a³

Where , a = side length

If 216cm³ is melted to form a cube

Then ;

a = 216^1/3

a = 6 cm

Answer:

He will have to cut off 1.25 inches.

Step-by-step explanation:

Take 5% of 5 inches

0.05(5)=0.25 inches

5 inches - 0.25 inches= 4.75 inches

4.75 inches is how wide the wood is after it shrinks.

Find how much he needs to cut off

4.75 inches - 3.5 inches=1.25 inches

He will need to cut off 1.25 inches in order for the block to fit exactly.

Answer: I got this-- its me again..  It's D again- I explained this time tho-

Step-by-step explanation:

2 cm represents 100 miles, then 1 cm represents 50 miles and .5 cm represents 25 miles.

Town A = 175 miles from town B.

Town C = 100 miles from town B.

SO, Town A is 175 miles + 100 miles = 275 miles from town C.

Answer:

The value of the mutual force between them is 3.6 x 10⁶ N

Step-by-step explanation:

Given;

distance between the two-point charges, r = 2000 m

the value of the two-point charges, q₁ and q₂ = 40 C and -40 C

Coulomb's constant, k = 9 x 10⁹ Nm²/C²

The value of the mutual force between them is calculated by applying Coulomb's law;

[tex]F = \frac{K|q_1|q_2|}{r^2} \\\\F = \frac{(9 \times 10^9)(40\times 40)}{(2000)^2} \\\\F = 3.6 \times 10^6 \ N[/tex]

Therefore, the value of the mutual force between them is 3.6 x 10⁶ N.

Answer:

Step-by-step explanation:

Here,

3x - 5

There is 3 as coefficient of x and -5 constant.

Hence,

Option D is correct

Answer:

The theoretical probability that the spinner below lands on the letter B is 1/2

Step-by-step explanation:

Given

[tex]S =\{A,B,B,B,C,C\}[/tex]

[tex]n(S) = 6[/tex]

See attachment for spinner

Required

P(B)

From the attached spinner, we have:

[tex]n(B) = 3[/tex] --- occurrence of B

So:

[tex]P(B) = \frac{n(B)}{n(S)}[/tex]

[tex]P(B) = \frac{3}{6}[/tex]

[tex]P(B) = 1/2[/tex]