3. Betty rode her bike down a block that was 50 meters long. How many millimeters did she ride?​

Answer:

1.$3÷12=0.25

each egg would cost 25 cents

2.12×18=216

216×25=5,400

Answer:

105 in³

Step-by-step explanation:

Volume of triangular prism = base area * height

here

base area =  (10*7)/2 = 35

height = 3

Volume = 35* 3 = 105

Answer:

The answer for number 1 is C

Answer:

-4x³ - 8y - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

7 - 6y - 5x³ - 1 + x³ - 7 - 2y

Step 2: Simplify

Answer:

11800

Step-by-step explanation:

4.5%=0.045

0.045x10,000=450

450x4(quarterly)=1800

10,000+1800= 11800

Answer:

After 1 year, $10,457.65

Step-by-step explanation:

P = $ 10, 000

r = 4.5% = 0.045

T = 1 year

n = 4 ( compounded quarterly )

      [tex]A = P( 1 + \frac{r}{n})^{nt}[/tex]

         [tex]= 10000( 1 + \frac{0.045}{4})^{4 \times 1}\\\\=10000 \times 1.01125^{4}\\\\= 10000 \times 1.04576508633\\\\= 10457.6508633\\\\= \$ 10, 457.65[/tex]

The graph of a square root function has a domain of (0, ∞) and range of [1, ∞).

Answer:

f(x)=log(x-1)+2

Step-by-step explanation:

I did the test on plato and got it right.

Answer:

Type II error occurred

Step-by-step explanation:

It is given that a new shampoo is being tested to determine whether the hair grows faster by using this shampoo.

It is known that hair grow at 0.5 inches per month at average.

The hypothesis are,

Null hypothesis, [tex]$H_0: \mu=0.5$[/tex]

Alternate hypothesis, [tex]$H_1: \mu>0.5$[/tex]

But it is known that :

Type [tex]$I$[/tex] error occurs when rejecting the null hypothesis when the null hypothesis is true actually.

Type [tex]$II$[/tex] error occurs [tex]\text{when we fail reject the null hypothesis}[/tex] when the null hypothesis is actually false.

Now here since the null hypothesis is not been rejected, type  [tex]$II$[/tex] error had occurred.

(x+2)(x-2) / (x-1)(x-5) this is the simplified form of the expression.

What is fraction?

A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities. It is a way of expressing a number as a quotient of two integers, where the top number is called the numerator, and the bottom number is called the denominator.

x²-3x-10/x²-6x+5 • x-2/x-5

We can factor the numerator and denominator of the first fraction as follows: (x-5)(x+2) / (x-5)(x-1)

Notice that there's a common factor of x-5 in both the numerator and denominator. We can cancel them out, leaving: (x+2) / (x-1)

Now let's simplify the second fraction:

x-2 / x-5

We can't simplify this fraction any further, so we leave it as is.

Putting it all together, we get:

(x+2) / (x-1) * (x-2) / (x-5)

Multiplying the two fractions, we get:

(x+2)(x-2) / (x-1)(x-5)

This is the simplified form of the expression.

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Answer:

4.5m/s

Step-by-step explanation:

4.5x40=180

180+150=330

400-330=70

70/34=2.05882352941

(2.05882352941x70)+(5.4x150)+(4.5x180)=1791.11764706

1791.11764706/400=4.47779411765

4.47779411765=4.5

4.5m/s

Answer:

Average speed = 3.9 m /s

Step-by-step explanation:

Total distance = 400m

First 150m = 5.4m/s

[tex]speed = \frac{distance}{time} \\\\time = \frac{distance}{speed} = \frac{150}{5.4} = 27.78 \ s[/tex]

Second part :

S = 4.5m/s for 40s

[tex]Distance = speed \times time = 4.5 \times 40 = 180 \ m[/tex]

Third part :

Remaining distance = 400 - 150 -180 = 70m

Time taken to cover it = 34s

[tex]speed = \frac{distance}{time} = \frac{70}{34} = 2.05 \[/tex]

Speed = 2.05m/s

Find average speed

        [tex]Average\ speed = \frac{total \ distance }{total \ time \ taken } \\\\Average \ speed = \frac{400}{101.78} = 3.93 \ mps[/tex]

Round to 1 dp => average speed = 3.9m /s

Step-by-step explanation:

the answer is in the image above

Answer:

hope it helps you.......

It May Help You

Thank You:)

Answer:

Step-by-step explanation:

there are a total of 16+8+8=32 coins in bag

16 out of 32 are red

player wins by pulling a red coin

assume it is a single pull, the winning probability = 16/32 = 1/2

so it is 50/50 chance n hence a fair game

Step-by-step explanation:

yes it is a fair game because any one don't know what the coin will get, it is based on luck

Answer:

[tex]\frac{2}{3} \ part \ of \ right \ angle \ is \ \frac{1}{6} \ part \ of \ a \ whole \ wheel.[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} \ of \ a \ right \ angle \ = \frac{2}{3} \times 90^{\circ} = 60^{ \circ}\\\\A \ whole \ wheel \ is \ = 360^ {\circ}\\\\[/tex]

Now to find what part of 360 is 60 :

[tex]Let \ it \ be \ x\\\\x \times 360 = 60 \\\\x = \frac{60}{360} = \frac{1}{6}[/tex]

Therefore ,

          [tex]\frac{2}{3} \ part \ of \ right \ angle \ is \ \frac{1}{6} \ part \ of \ a \ whole \ wheel.[/tex]

Answer:

The common denominator of [tex]y + \frac{y-3}{3}[/tex] is 3

Step-by-step explanation:

Given

The complex fraction

Required

The common denominator

To solve this, we need not consider the whole complex fraction.

We only consider

[tex]y + \frac{y-3}{3}[/tex]

Take LCM

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

Single out the denominator, i.e. 3

Hence, the common denominator of [tex]y + \frac{y-3}{3}[/tex] is 3

To express the phrase "Three times a number, decreased by five" as an algebraic expression, we can use the variable x to represent the unknown number: 3x - 5

Now, let's simplify this expression: Given that the unknown number is represented by x, we can substitute it into the expression above. Substituting x into the expression, we have: [tex]3(x) - 5 3x - 5[/tex] Therefore, the algebraic expression representing "Three times a number, decreased by five" is [tex]3x - 5.[/tex] At this point, there is no further simplification possible since the expression is already in its simplest form.

For example, let's assume the unknown number x is 7. We can plug in this value to evaluate the expression: [tex]3(7) - 5 = 21 - 5 = 16[/tex] Similarly, if x is -2, the calculation would be: [tex]3(-2) - 5 = -6 - 5 = -11[/tex] In conclusion, the algebraic expression 3x - 5 represents the phrase "Three times a number, decreased by five."

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Answe

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Step-by-step explanation:

Answer:

The answer to this question is 8.44 m.

Step-by-step explanation:

This problem is best illustrated in the photo below.

First, we must know that the angle stated in the problem is the angle of depression. Angle of depression is the angle between the horizontal and the line of sight of the observer. On the other hand, if the observer is looking upward, then the angle between the horizontal and his line of sight is called the angle of elevation.

Since we have the given angle of depression, we must use its complementary angle to solve for the distance of the car from the building.

Let x = complementary angle of 75°

y = distance of the car from the building

To solve for x,

To solve for y, we need to use a trigonometric function that will relate the adjacent of 15° and the opposite of 15°. Let us look at the mnemonics

SOH: Sine =  

CAH: Cosine =  

TOA: Tangent =  

Therefore we must use the tangent function to solve for y.

Answer:

a)[tex]S=2.57[/tex]

b)[tex]H=203.2yard[/tex]

c)[tex]X=121.79yards[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta=1.2=68.755^o[/tex]

a)

Generally the equation for Slope is mathematically given by

 [tex]S=tan \theta[/tex]

 [tex]S=tan 68.755[/tex]

 [tex]S=2.57[/tex]

b)

Given the right Angle triangle with horizontal distance [tex]x=85yard[/tex]

Generally the equation for Height traveled is mathematically given by

 [tex]H=tan\theta*x[/tex]

 [tex]H=2.57*85[/tex]

 [tex]H=218.45[/tex]

 [tex]H=203.2yard[/tex]

c)

Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by

[tex]X=\frac{313}{tan65.75}[/tex]

[tex]X=\frac{313}{2.57}[/tex]

[tex]X=121.79yards[/tex]

Using the projectile principle, the slope of the rockets path, height above the ground and the distance traveled at a height of 313 yards would be 2.57, 218.63, 121.69 respectively.

Given the Parameters :

Converting to degree :

A.)

The slope of the rocket's path :

Slope = tan(68.755) = 2.57

B.)

Horizontal distance, = distance along the x-axis = 85 yards

Vertical distance = height = distance along y-axis, y

y = slope × x

y = tan(68.755) × 85

y = 218.63 yards

C.)

Vertical distance, y = 313 yards

From :

[tex] y = x tan\theta [/tex]

[tex] x = \frac{y}{tan\theta} [/tex]

[tex] x = \frac{313}{tan(68.755°)} [/tex]

x = 121.69 yards

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27x^6 = 387420489

You want something similar but cubed.

[tex]\sqrt[3]{387420489}[/tex] = 729

YOUR ANSWER: 729x^3 = 387420489

Step-by-step explanation:

9514 1404 393

Answer:

  2x -5

Step-by-step explanation:

Any equivalent expression can be used. It is perhaps easiest just to simplify the given expression.

  1/2(6x -10) -x = 3x -5 -x = 2x -5

Putting 2x-5 on the right will give an equation true for all x.

  1/2(6x -10) = 2x -5

Answer:less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.

Step-by-step explanation:

less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.

Based on the equation,the equation which is not an inverse variation is f(x) = kx

f(x) = kx

= k × x

f(x) = 2k/x

= k(2/x)

f(x) = -kx/z

= k(-x/z)

Inverse variation is given by:

y = k(1/x)

where,

Therefore, f(x) = kx is not an inverse variation.

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Answer:

Step-by-step explanation:

Bạn vẽ 1 tức giác ABCD lồi sau đó nối AB và CD cắt nhau tại E, AD và BC cắt nhau tại F, AC và BC cắt nhau tại G. Trồng 7 cây vào các điểm ABCDEFG  l. Ta có sáu hàng là ABE, DCE, BCF, ADF, ACG, BDG

Answer:

3%

Step-by-step explanation:

Cost x sales tax rate =tax

370 x sales tax rate = 11.10

sales tax rate =11.10/370

sales tax rate=.03 or 3%

The sales tax rate is 3% if an item costs $370 before tax and the sales tax is $11.10.

The percentage is defined as a ratio expressed as a fraction of 100.

To determine the sales tax rate, we need to divide the amount of sales tax paid by the cost of the item before tax and then multiply the result by 100% to express it as a percentage.

As per the question, the amount of sales tax paid is $11.10, and the cost of the item before tax is $370. Therefore, the sales tax rate is:

sales tax rate = tax paid / (cost of the item before tax) x 100%

sales tax rate = $11.10 / $370 x 100%

Apply the division operation,

sales tax rate = $0.03 x 100%

Apply the multiplication operation,

sales tax rate = 3%

Therefore, the sales tax rate is 3%.

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Answer:

240 cubic metres

Step-by-step explanation:

I'm not really sure for Q17 but I do know Q18.

Q18. Volume of cuboid = Length×Breadth×Height

=12×4×5

=240 cubic metres

hope it helps!!!

Answer:

P(at most four) = 0.00960541

Step-by-step explanation:

For each employee hired, there are only two possible outcomes. Either it is a women, or it is not. The probability of an employee being a women is independent of any other employee, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

19 new employees.

This means that [tex]n = 19[/tex]

Approximately equal number of qualified men as qualified women.

This means that [tex]p = 0.5[/tex]

Probability of getting four or fewer women when 19 people are hired

This is:

[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{19,0}.(0.5)^{0}.(0.5)^{19} = 0.00000191[/tex]

[tex]P(X = 1) = C_{19,1}.(0.5)^{1}.(0.5)^{18} = 0.00003624[/tex]

[tex]P(X = 2) = C_{19,2}.(0.5)^{2}.(0.5)^{17} = 0.00032616[/tex]

[tex]P(X = 3) = C_{19,3}.(0.5)^{3}.(0.5)^{16} = 0.00184822[/tex]

[tex]P(X = 4) = C_{19,4}.(0.5)^{4}.(0.5)^{15} = 0.00739288[/tex]

Then

[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.00000191 + 0.00003624 + 0.00032616 + 0.00184822 + 0.00739288 = 0.00960541[/tex]

So

P(at most four) = 0.00960541

Answer:

See attachment for polygon

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Class} & {Frequency} & 78787 - 98786 & 9 &98787 - 118786 & 8 & 118787 - 138786 & 9 & 138787 - 158786 & 4 & 158787 - 178786 & 8 \ \end{array}[/tex]

Required

The frequency polygon

First, we calculate the midpoint of each class.

This is the average of the class limits

So, we have:

[tex]x_1 = \frac{78787 + 98786}{2} = \frac{177573}{2} = 88786.5[/tex]

[tex]x_2 = \frac{98787 + 118786}{2} = \frac{217573}{2} = 108786.5[/tex]

----

--

-

[tex]x_5 = \frac{158787 + 178786}{2} = \frac{337573}{2} = 168786.5[/tex]

(138787 + 158786)/2

So, the table becomes:

[tex]\begin{array}{ccc}{Class} & {Frequency} & {x} &78787 - 98786 & 9 & 88786.5 & 98787 - 118786 & 8 & 108786.5 & 118787 - 138786 & 9 & 128786.5 & 138787 - 158786 & 4 & 148787.5 & 158787 - 178786 & 8 & 168786.5\ \end{array}[/tex]

See attachment for frequency polygon

Answer:

1.  y=5   x=1

2.  y=4   x=4/5

3.  y=2   x=2/5

Step-by-step explanation:

Plug the y-values in for y:

1. 5=5x

2. 4=5x

3. 2=5x

Then solve for x:

1. x=1

2. x=4/5

3. x= 2/5

Hope this helps!