In Mr. Williams' 2nd hour class, 40% of the students scored a 85% or higher on a quiz. If 20 students scored a 85% or higher on the quiz, how many students are in Mr. Williams' 2nd hour class?


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To calculate the length of the hypotenuse in a right triangle, apply the Pythagorean theorem: c = √(a² + b²). In an example with sides of 9 and 5 blocks, the hypotenuse would be approximately 10.3 blocks, accurate to three significant figures.

To find the length of the third side of a right triangle, known as the hypotenuse, we can apply the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Therefore, the formula to calculate the length of the hypotenuse is c = √(a² + b²).

For example, if the lengths of the two sides are 9 blocks and 5 blocks, we can use this formula to find the length of the hypotenuse:

Note that the result is presented with three significant figures for precision. In real-world applications, such as finding the distance walked in city blocks, this provides a more accurate depiction of the distance.

The representation of the speed will be s ≥ 130.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

The problem raises the following statement: "The cruising speed of the bullet train will be at least 130 miles per hour"

Which means that the train has a speed of 130 miles for now or higher, knowing this we can pose the inequality.

Knowing that "s" is the train's cruising speed (in miles per hour), we have to:

s ≥ 130

This would be the inequality that the statement represents.

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Final answer:

The variable 's' represents the train's cruising speed in mph, and the given condition is translated into the inequality 's ≥ 130', indicating the speed is at least 130 mph.

Explanation:

To represent the cruising speed of the bullet train using a variable, we can assign s to indicate the train's cruising speed in miles per hour. Given the statement 'The cruising speed of the bullet train will be no less than 130 miles per hour,' we can translate this into an inequality: s ≥ 130. This inequality means that the value of s, the train's cruising speed, must be greater than or equal to 130 mph.

Answer:

No

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the longest side squared is equal to the sum of the squares of the other 2 sides then the triangle is right.

The longest side = 61, thus

61² = 3721

12² + 60² = 144 + 3600 = 3744 ≠ 3721

Thus these sides do not form a right triangle.

The equation that represents the data in the table is y = 4x – 2.

Solution:

Take any two point from the table.

Let the points taken are (0, –2) and (3, 10).

[tex]x_1=0, y_1=-2, x_2=3, y_2=10[/tex]

Slope of the line:

[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]$m=\frac{10-(-2)}{3-0}[/tex]

[tex]$m=\frac{12}{3}[/tex]

m = 4

Using point-slope formula,

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=4(x-0)[/tex]

[tex]y+2=4x[/tex]

Subtract 2 from both sides, we get

y = 4x – 2

The equation that represents the data in the table is y = 4x – 2.

Answer:

  3(3b +4)

Step-by-step explanation:

The greatest common factor (GCF) of 9 and 12 is 3, so you're being asked to factor that out.

  9b +12 = 3(3b +4)

_____

The GCF can be found a couple of ways. One of them is to list the prime factors and identify those that are common.

  9b = 3 × 3 × b

  12 = 2 × 2 × 3

For these two terms, the only common factor is 3.

Answer:

X=8y-5

Step-by-step explanation:

Let y be the inverse of x+5/8

Y=x+5/8

Cross multiply

8y=x+5

Substrate 5 from both sides

8y-5=x

Therefore x=8y-5

Answer:

[tex]\displaystyle \frac{4r^2\pi }{9} \text{ cm}^3[/tex]

Step-by-step explanation:

      We will write an expression for the second cone's volume. Let r be equal to the radius of the first cone.

      The volume of a cone can be found with the following formula. Here, h is the height, r is the radius, and V is the volume.

             [tex]\displaystyle V=\frac{1}{3} \pi r^2h[/tex]

      We will substitute our given values and simplify.

             [tex]\displaystyle V=\frac{1}{3} \pi (\frac{1}{3}*r )^2(12)[/tex]

      Square.

             [tex]\displaystyle V=\frac{1}{3} \pi \frac{r^2}{9} (12)[/tex]

      Divide 12 by 3.

             [tex]\displaystyle V=\pi \frac{4r^2}{9}[/tex]

      Move π to the numerator.

             [tex]\displaystyle V=\frac{4r^2\pi }{9}[/tex]

The volume of the new cone, with the same height but one-third of the original radius, is represented by the expression (4 / 9)πr².

The volume of a cone is given by the formula V = (1/3)πr²h.

For a cone with a radius r and height 12 cm, its volume can be expressed as:

[tex]V = (\frac{1}{3})\pi r^2(12) = 4\pi r^2[/tex]

Now, consider a cone with the same height, but with 1/3 of the original radius. Let the new radius be (1/3)r. Using the volume formula again:

[tex]V = (\frac{1}{3})\pi (\frac{1}{3}r)^2(12) = (\frac{1}{3})\pi(\frac{1}{9}r^2)(12) = (\frac{12}{27})\pi r^2 = \frac{4}{9}\pi r^2.[/tex]

Thus, the expression for the volume of the new cone is (4 / 9) πr².

Answer:

A. Undefined will be your answer

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

5+2x

When x=4

5+2(4)

5+8

= 13

Yo sup??

the correct answer to this question is option B ie

low frequency and low energy because

it's wavelenght is high so it's frequency will be low and

E=hv

where v is frequency

Hope this helps

Answer:

10.6666666666666666

Step-by-step explanation:

Answer:

C.$10,000

Step-by-step explanation:

Let X be the amount of initial investment, 6.5% be the compound interest, n=18years and $31,066 as the final amount:

#Using compound interest:

[tex]A=P(1+i)^n\\\\\Where \ A=31066,i=6.5\%, n=18,P=X\\\\31066=P(1+6.5\%)^{18}\\\\31066=P(1.065)^{18}\\\\P=\frac{31066}{3.106654}\\\\P\approx10000[/tex]

Hence, the amount initially ionvested is $10,000

Answer:

Point U' (-2, 1)

Step-by-step explanation:

When moving up and down on a graph, this affects the y coordinate only.

Since it is moving up 1 unit, we have to add 1 to the y coordinate. So U' will end up being (-2, 1).

Answer:

U x 1U = -3 , 1

Step-by-step explanation:

U=1  x=1

y= -2 x 0 =-2  

0=-2x-2 +1

y=-2x2+1

y=-4-1

y=-3

Answer:

D

Step-by-step explanation:

Kg : min

3¼ : ¾

13/4 : 3/4

13 : 3

13/3 : 1

13/3 = 4 ⅓

Answer:

Kevin would be 50 and Sean would be 25

Step-by-step explanation:

Assuming that there is no other information given,

and Kevin is twice as old as sean, and they gotta add up to 75 total

50 + 25 = 75

25x2 = 50

Hope this helped!

Answer:

Kevin is 50 and Sean is 25.

Step-by-step explanation:

Add 25 + 50 = 75

Multiply 25 x 2 = 50

Hope this helps

-Amelia The Unknown

Answer:

The length of the tent's base is [tex]8\sqrt{2}[/tex].

Step-by-step explanation:

Given : Jacks tent is shaped like an isosceles triangle. The height of the tent measures 7 feet and the diagonal side measures 9 feet.

To find : The length of the base ?

Solution :

Let x denote the length of the tent's base.

Refer the attached figure below.

Using Pythagorean Theorem,

[tex]9^{2} =7^{2} +(\frac{x}{2} )^2[/tex]

[tex]81=49+\frac{x^{2} }{4}[/tex]

[tex]324=196+x^{2}[/tex]

[tex]x^{2} =128[/tex]

Taking square root on both sides,

[tex]x=\sqrt{128}[/tex]

[tex]x=8\sqrt{2}[/tex]

Therefore, the length of the tent's base is [tex]8\sqrt{2}[/tex].

Answer:

 5/2

<3

Answer: No value for x

Step-by-step explanation:

-5x+10x+3 = 5x+6

5x + 3= 5x +6

Step 1: Combine like terms

5x - 5x = 6-3

0=3

Answer:

2.47 m

Step-by-step explanation:

247 cm /100 = 2.47 m

1 m = 100 cm

247 centimeters is equivalent to 2.47 meters

To convert centimeters to meters, we use the conversion factor that 100 centimeters equal 1 meter. This is because the prefix 'centi' in centimeter means 'one hundredth', so 100 centimeters make up 1 meter.

To find the number of meters in 247 centimeters, we divide 247 by 100, because there are 100 centimeters in a meter. This gives us:

247 cm ÷ 100 = 2.47 meters

Therefore, 247 centimeters is equivalent to 2.47 meters.

Answer:

42.7

Step-by-step explanation:

Final answer:

To find out how far Antonio drove west, we can use the Pythagorean theorem. The distance driven north (26 miles) and the distance west form the two legs of a right triangle, with the total displacement from starting point (50 miles) as the hypotenuse. Solving the equation, we find Antonio drove approximately 42.70 miles west.

Explanation:

The question asks to determine how far Antonio drove west given that he first drove 26 miles north and then drove west, ending up 50 miles from where he started. This can be solved using the Pythagorean theorem, which relates the lengths of the sides of a right triangle. In this scenario, the distance Antonio drove north and the distance he drove west form the two legs of a right triangle, with the overall displacement from his starting point being the hypotenuse.

To solve the problem, let x be the distance Antonio drove west. We already know the northward distance is 26 miles, and the hypotenuse is 50 miles. Setting up the equation based on the Pythagorean theorem gives us:

26² + x² = 50²

Solving for x:

x² = 50² - 26²

x² = 2500 - 676

x² = 1824

x = √(1824)

x = 42.70 miles

So, Antonio drove approximately 42.70 miles west.

Based on the image you sent, the correct answer is: C. x = 110°

Here's why:

The image shows a diagram with two angles marked. One angle is labeled 110°, and the question asks about the measure of angle x.

Since there are no markings or indications otherwise, we can assume that angle x is congruent to the labeled angle.

Therefore, the measure of angle x is also 110°.

The other answer choices are not supported by the information in the image:

A. x > 110°: There's no evidence to suggest that angle x is greater than 110°.

B. x < 110°: There's no evidence to suggest that angle x is less than 110°.

So, angle z will be equal to 110° by vertically opposite angles.

Hence, the correct option will be C. z = 110°.

Answer:

-21/8 or  -2 5/8

Step-by-step explanation:

When dividing fractions by other fractions you use keep change flip, you keep the first fraction, change the division into multiplication and you flip the second fraction. We do this because we don't have to convert the fractions into decimals this was and its easier with fractions.

The problem changes to

3/8 times -7/1

Now we multiple the numerators together and the denominators together and then put it back into a fraction

3 * -7 = -21

8 * 1 = 8

-21/8

If you need it as a mixed number it is

-2  5/8

Answer:

250÷4%= x per hour

Step-by-step explanation:

Final answer:

The situation where 250 cells in a Petri dish are increasing at a rate of 4% per hour can be modeled using the equation is 260 cells.

Explanation:

To model the situation where 250 cells in a Petri dish are increasing at a rate of 4% per hour, we use the formula for exponential growth:

N = N0ert

Where N is the future population size after time t, N0 is the initial population size, e is the base of the natural logarithm (approximately equal to 2.71828), r is the growth rate per unit of time, and t is the number of time units.

Here, N0=250 cells, r=0.04 (4% growth per hour, converted to decimal), and t will be the number of hours passed. Let's make t equal to 1 to see the number of cells after one hour:

N = 250e0.04(1)

After one hour, the Petri dish would have:

N = 250e0.04 ≈ 250(1.04081) ≈ 260 cells

Thus, this equation models the exponential growth of the cell population in the Petri dish over time.

[tex]\boxed{-1<x<5}[/tex]

Option c.

In this exercise we have the following inequality:

[tex]-\mid x - 2 \mid + 9 > 6[/tex]

Step 1. Subtract 9 from both sides:

[tex]-\mid x - 2 \mid + 9-9 > 6-9 \\ \\ -\mid x - 2 \mid > -3[/tex]

Step 2. Multiply by -1 to both sides

[tex]\mid x - 2 \mid < 3 \ \text{The direction of the inequality changes when multiplying by -1}[/tex]

Step 3. Apply property

[tex]\mid x \mid <a \rightarrow -a<x<a[/tex]

So:

[tex]\mid x - 2 \mid < 3 \rightarrow -3<x-2<3 \\ \\ Adding \ 2: \\ \\ -3+2<x-2+2<3+2 \\ \\ \boxed{-1<x<5}[/tex]

So the correct option is C.

Answer:

N = 2 1/3

Step-by-step explanation:

N + 2 1/3 = 4 2/3 (Given)

N = 2 1/3 (Subtract 2 1/3 on both sides.)

Answer:

Side of the top of the table =4.243 feet

Step-by-step explanation:

A Square has all its sides equal with all the four angles at right angles.

Area of the top of the square table=18 Square feet

Area of a square=[tex]Side^2[/tex]

          Side   ≈    [tex]18=Side^2\\\\Side=\sqrt{18} \\\\4.243[/tex]

  The side of the top of the table is 4.243 feet

Answer:

I got 38

Step-by-step explanation:

14 - 2 (-6) (2) = 38

Answer:

thats a great answer i got the same

Step-by-step explanation:

He will take the loan from Company B.

Step-by-step explanation:

Given,

For Company A

Principal (P) = Rs 75000

Time (T) = 2 years

Rate of interest (R) = 10%

For Company B

Principal (P) = Rs 75000

Time (T) = 2 years

Rate of interest (R) = 8%

To find the amount of the loan he has to pay for both the companies.

Formula

Amount =P [tex](1+\frac{R}{100} )^{T}[/tex]

Amount= P[tex](1+\frac{R}{100Xn} )^{nT}[/tex]

For Company A

Amount = 75000[tex](1+\frac{10}{100}) ^{2}[/tex] [ Here, P= 75000, T=2 and R = 10%]

= 194530 (approx)

For Company B

Amount = 75000([tex](1+\frac{8}{200} )^{4}[/tex] [ Here, P= 75000, T=2, n = 2 and R = 8%]

= 87739 (approx)

Hence,

He will take the loan from Company B, because he has to pay less money for this company.

Answer:

a and b

Step-by-step explanation:

Answer: I have included an image of the correct answer.

They are skew lines

Answer:

C: They are skew

if you cant read upside down.

Step-by-step explanation:

Edge 2021